MAXWELL'S EQUATIONS

MAXWELL’S EQUATION There are four basic laws of Electromagnetism These are outlined below: - Gauss Law - A law expressing the absence of magnetic poles - Amperes law relating the magnetic field to the steady currents producing it - Faraday’s Law of induction For a current which changes with time, the Ampere’s Law has to be modified. When this is done, the four laws make up the Maxwell’s equation. The Maxwell’s equations are these set of equations which any possible electromagnetic field must satisfy everywhere. Most of the time one is faced with solving Maxwell’s equations which fit the boundary conditions and distributions of charge and current appropriate to different problems.

LET US STUDY THE BIBLE TOGETHER AGAIN TODAY JOHN 3

The Holy Bible: King James Version. 2000. The Gospel according to St. John 3 Jesus and Nicodemus 1 There was a man of the Pharisees, named Nicode'mus, a ruler of the Jews: 2 the same came to Jesus by night, and said unto him, Rabbi, we know that thou art a teacher come from God: for no man can do these miracles that thou doest, except God be with him. 3 Jesus answered and said unto him, Verily, verily, I say unto thee, Except a man be born again, he cannot see the kingdom of God. 4 Nicode'mus saith unto him, How can a man be born when he is old? can he enter the second time into his mother's womb, and be born? 5 Jesus answered, Verily, verily, I say unto thee, Except a man be born of water and of the Spirit, he cannot enter into the kingdom of God. 6 That which is born of the flesh is flesh; and that which is born of the Spirit is spirit. 7 Marvel not that I said unto thee, Ye must be born again. 8 The wind bloweth where it listeth, and thou hearest the sound thereof, but canst not tell whence it cometh, and whither it goeth: so is every one that is born of the Spirit. 9 Nicode'mus answered and said unto him, How can these things be? 10 Jesus answered and said unto him, Art thou a master of Israel, and knowest not these things? 11 Verily, verily, I say unto thee, We speak that we do know, and testify that we have seen; and ye receive not our witness. 12 If I have told you earthly things, and ye believe not, how shall ye believe, if I tell you of heavenly things? 13 And no man hath ascended up to heaven, but he that came down from heaven, even the Son of man which is in heaven. 14 And as Moses lifted up the serpent in the wilderness, Num. 21.9 even so must the Son of man be lifted up: 15 that whosoever believeth in him should not perish, but have eternal life. God So Loved the World 16 ¶ For God so loved the world, that he gave his only begotten Son, that whosoever believeth in him should not perish, but have everlasting life. 17 For God sent not his Son into the world to condemn the world; but that the world through him might be saved. 18 He that believeth on him is not condemned: but he that believeth not is condemned already, because he hath not believed in the name of the only begotten Son of God. 19 And this is the condemnation, that light is come into the world, and men loved darkness rather than light, because their deeds were evil. 20 For every one that doeth evil hateth the light, neither cometh to the light, lest his deeds should be reproved. 21 But he that doeth truth cometh to the light, that his deeds may be made manifest, that they are wrought in God. He Must Increase, but I Must Decrease 22 ¶ After these things came Jesus and his disciples into the land of Judea; and there he tarried with them, and baptized. 23 And John also was baptizing in Ae'non near to Salim, because there was much water there: and they came, and were baptized. 24 For John was not yet cast into prison. Mt. 14.3 • Mk. 6.17 • 0.1 ; 0.3 ; 9.20 25 ¶ Then there arose a question between some of John's disciples and the Jews about purifying. 26 And they came unto John, and said unto him, Rabbi, he that was with thee beyond Jordan, to whom thou barest witness, behold, the same baptizeth, and all men come to him. 27 John answered and said, A man can receive nothing, except it be given him from heaven. 28 Ye yourselves bear me witness, that I said, I am not the Christ, Joh. 1.20 but that I am sent before him. 29 He that hath the bride is the bridegroom: but the friend of the bridegroom, which standeth and heareth him, rejoiceth greatly because of the bridegroom's voice: this my joy therefore is fulfilled. 30 He must increase, but I must decrease. The Testimony from Heaven 31 ¶ He that cometh from above is above all: he that is of the earth is earthly, and speaketh of the earth: he that cometh from heaven is above all. 32 And what he hath seen and heard, that he testifieth; and no man receiveth his testimony. 33 He that hath received his testimony hath set to his seal that God is true. 34 For he whom God hath sent speaketh the words of God: for God giveth not the Spirit by measure unto him. 35 The Father loveth the Son, and hath given all things into his hand. Mt. 11.27 • Lk. 10.22 36 He that believeth on the Son hath everlasting life: and he that believeth not the Son shall not see life; but the wrath of God abideth on him. LET US TAKE A LOOK AT THIS CHAPTER TOGETHER. THIS IS THE STORY OF NICODEMUS (YOU MUST BE BORN AGAIN) Vs 1 He was a man of the Pharisees and a ruler of the Jews. This man was a responsible member of the society. Vs 2 He came to Jesus Christ by Night. He said Rabbi He acknowledged Jesus Christ. He acknowledged that Jesus Christ was a teacher from and that He did miracles and that God is with Him hence the things He had done. Vs 3 Jesus Christ said verily, verily I say unto thee, except a man be born again, he cannot see the kingdom of God. [To see the kingdom of God you need a pure heart] Once on earth sin pollutes the heart. When you are born again you have a new beginning and a new pure heart. And you can see God. Vs 4 Nicodemus wanted an explanation He asked How a man can be born when he is old. A birth makes old things New Vs 5-7 Jesus Christ said that you must be born of water and of the spirit. Vs 5 Jesus answered ; Except a man be born of Water and of the Spirit, he cannot enter into the kingdom of God. Sometimes water is used figuratively for the word of God and water signifies cleansing or cleaning. There is need for purification to make old things new and make all things pure to see God. Vs 6 Like begets like. Flesh gives birth to Flesh and Spirit gives birth to Spirit. Vs 7 Do not be surprised. Vs 8 Just as we know that wind is air in motion from the sound but the source and the sink ie where it comes from or goes to is not predictable . Similarly one born of the spirit. Jesus Christ used the wind to illustrate the point. When you are born again the Spirit of God Leads you. Vs 9 Nicodemus asked how can these things be? Vs 10 Jesus answered and said unto him art thou a master of Israel and knowest not these things ? Things of God are not understood by worldly standards or status. Vs 11 – 12 Jesus Christ knows what He is saying. Vs 13 No man hath ascended up to heaven, but he that came down from heaven, even the son of man which is in heaven Jesus came from heaven Vs 14 And as Moses Lifted up the serpent in the wilderness even so must the son of man be lifted up Take a look at Numbers 21 and Numbers 21:9 Signifying His death and Sacrifice for Salvation unto anybody that believes and looks up to Him and looks unto Jesus Christ who is the author and finisher of our faith. Vs 15 That whosoever believeth in him should not perish, but have eternal life. Vs 16 For God so loved the world that he gave his only begotten son, that whosoever believeth in him should not perish but have everlasting life. Vs 17-21 Salvation is of God Vs 17 God sent not his Son into the world to condemn the world but that the world through him might be saved. Vs 18 He that believeth on Him is not condemned but he that believeth not is condemned already, because he hath not believed in the name of the only begotten son of God. Vs 19 Light came into the world but man loved darkness rather than light, because their deeds were evil. Vs 20 For every one that doeth evil hateth the light neither cometh to the light, lest his deeds should be reproved. Jesus Christ is the Light. Vs 21 But he that doeth truth cometh to the light. Jesus Christ went to the land of Judah and there he tarried with them and baptized. Vs 27-35 John had good things to say about Jesus Christ. Vs 36 Believe in Jesus Christ for everlasting Life.

LET US STUDY THE BIBLE TOGETHER AGAIN TODAY

LET US STUDY THE BIBLE TOGETHER ADAIN TODAY TEXT : JOHN 2 LET US READ THE TEXT FIRST. THEN LET US STUDY IT TOGETHER. John 2 1 And the third day there was a marriage in Cana of Galilee; and the mother of Jesus was there:2 And both Jesus was called, and his disciples, to the marriage.3 And when they wanted wine, the mother of Jesus saith unto him, They have no wine.4 Jesus saith unto her, Woman, what have I to do with thee? mine hour is not yet come.5 His mother saith unto the servants, Whatsoever he saith unto you, do it. 6 And there were set there six waterpots of stone, after the manner of the purifying of the Jews, containing two or three firkins apiece.7 Jesus saith unto them, Fill the waterpots with water. And they filled them up to the brim.8 And he saith unto them, Draw out now, and bear unto the governor of the feast. And they bare it. 9 When the ruler of the feast had tasted the water that was made wine, and knew not whence it was: (but the servants which drew the water knew;) the governor of the feast called the bridegroom,10 And saith unto him, Every man at the beginning doth set forth good wine; and when men have well drunk, then that which is worse: but thou hast kept the good wine until now.11 This beginning of miracles did Jesus in Cana of Galilee, and manifested forth his glory; and his disciples believed on him. 12 After this he went down to Capernaum, he, and his mother, and his brethren, and his disciples: and they continued there not many days. 13 And the Jews' passover was at hand, and Jesus went up to Jerusalem,14 And found in the temple those that sold oxen and sheep and doves, and the changers of money sitting:15 And when he had made a scourge of small cords, he drove them all out of the temple, and the sheep, and the oxen; and poured out the changers' money, and overthrew the tables;16 And said unto them that sold doves, Take these things hence; make not my Father's house an house of merchandise.17 And his disciples remembered that it was written, The zeal of thine house hath eaten me up. 18 Then answered the Jews and said unto him, What sign shewest thou unto us, seeing that thou doest these things?19 Jesus answered and said unto them, Destroy this temple, and in three days I will raise it up.20 Then said the Jews, Forty and six years was this temple in building, and wilt thou rear it up in three days?21 But he spake of the temple of his body.22 When therefore he was risen from the dead, his disciples remembered that he had said this unto them; and they believed the scripture, and the word which Jesus had said. 23 Now when he was in Jerusalem at the passover, in the feast day, many believed in his name, when they saw the miracles which he did.24 But Jesus did not commit himself unto them, because he knew all men, 25 And needed not that any should testify of man: for he knew what was in man. LET US CONSIDER SOME OF THESE VERSES TOGETHER IN SOME CONSIDERABLE DETAIL. Vs 1 There was a MARRIAGE in Cana of Galilee and the mother of Jesus Christ was there. Vs 2 Jesus Christ was invited and His disciples Whatever you do, invite Jesus Christ. At a point they had a need or want. Vs 3 the mother of Jesus Christ went to Jesus Christ. Always go to God in prayer when in need through Jesus Christ our Lord. Always go to Jesus Christ with your need and want. Vs 4 Jesus Christ pointed out that His hour is not yet come. God’s time is always the best. Wait on the Lord. Be patient. God has not forgotten you. God knows about your situation. God will give you joy at the fullness of time. Vs 5 Continue to obey and trust and do what Jesus says. Whatever He saith unto you, do it. Jesus Christ gave instructions. Jesus Christ will give you instructions. Vs 6-7 Jesus Christ will always give you instructions which you may or may not understand always. Just be sure that the instruction is of God. And from Jesus Christ. Check the word of God the Bible. Once you are sure that the instruction is of God and from our Lord Jesus Christ, OBEY. Water in the Bible can also signify the word of God. Fill your vessel with the word of God and give. Sanctify yourself through the word. Your body is the dwelling place of God keep it pure and Holy. Your end shall be better than your beginning because you are of God. Vs 13-15 Jesus Christ drove out those buying and selling in the temple in Jerusalem about the time of the Jew’s Passover Vs 16 Take these things hence, make not my father’s house a house of Merchandise. Vs 19 Destroy this temple, and in three days I will raise it up. Vs 21 But he spake of the temple of his body. Many believed in Him when they saw the miracles which He did. Vs 23-25 But Jesus did not commit Himself unto them, because he knew all men and knew what was in man. LET US INVITE JESUS CHRIST INTO OUR HEART TODAY. THANK YOU AND GO BLESS YOU.

COULOMB'S LAW

COULOMB’S LAW The magnitude and direction of the force between two stationary particles, each carrying electric charge, is given by coulomb’s law I) Like charges repel, unlike charges attract ii) The force acts along the line joining the two particles iii)The force is proportional to the magnitude of each charge iv) The force is inversely proportional to the square of the distance b/w the particles F21 α (q2q1/r321)r21 r21/r21 represents the unit vector along the direction r21

LET US STUDY THE BIBLE TOGETHER JOHN 1

LET US STUDY THE BIBLE TOGETHER JOHN 1 Text JOHN CHAPTER 1 King James Version: John Chapter 1 1 In the beginning was the Word, and the Word was with God, and the Word was God. 2 The same was in the beginning with God. 3 All things were made by him; and without him was not any thing made that was made. 4 In him was life; and the life was the light of men. 5 And the light shineth in darkness; and the darkness comprehended it not. 6 There was a man sent from God, whose name was John. 7 The same came for a witness, to bear witness of the Light, that all men through him might believe. 8 He was not that Light, but was sent to bear witness of that Light. 9 That was the true Light, which lighteth every man that cometh into the world. 10 He was in the world, and the world was made by him, and the world knew him not. 11 He came unto his own, and his own received him not. 12 But as many as received him, to them gave he power to become the sons of God, even to them that believe on his name: 13 Which were born, not of blood, nor of the will of the flesh, nor of the will of man, but of God. 14 And the Word was made flesh, and dwelt among us, (and we beheld his glory, the glory as of the only begotten of the Father,) full of grace and truth. 15 John bare witness of him, and cried, saying, This was he of whom I spake, He that cometh after me is preferred before me: for he was before me. 16 And of his fulness have all we received, and grace for grace. 17 For the law was given by Moses, but grace and truth came by Jesus Christ. 18 No man hath seen God at any time, the only begotten Son, which is in the bosom of the Father, he hath declared him. 19 And this is the record of John, when the Jews sent priests and Levites from Jerusalem to ask him, Who art thou? 20 And he confessed, and denied not; but confessed, I am not the Christ. 21 And they asked him, What then? Art thou Elias? And he saith, I am not. Art thou that prophet? And he answered, No. 22 Then said they unto him, Who art thou? that we may give an answer to them that sent us. What sayest thou of thyself? 23 He said, I am the voice of one crying in the wilderness, Make straight the way of the Lord, as said the prophet Esaias. 24 And they which were sent were of the Pharisees. 25 And they asked him, and said unto him, Why baptizest thou then, if thou be not that Christ, nor Elias, neither that prophet? 26 John answered them, saying, I baptize with water: but there standeth one among you, whom ye know not; 27 He it is, who coming after me is preferred before me, whose shoe's latchet I am not worthy to unloose. 28 These things were done in Bethabara beyond Jordan, where John was baptizing. 29 The next day John seeth Jesus coming unto him, and saith, Behold the Lamb of God, which taketh away the sin of the world. 30 This is he of whom I said, After me cometh a man which is preferred before me: for he was before me. 31 And I knew him not: but that he should be made manifest to Israel, therefore am I come baptizing with water. 32 And John bare record, saying, I saw the Spirit descending from heaven like a dove, and it abode upon him. 33 And I knew him not: but he that sent me to baptize with water, the same said unto me, Upon whom thou shalt see the Spirit descending, and remaining on him, the same is he which baptizeth with the Holy Ghost. 34 And I saw, and bare record that this is the Son of God. 35 Again the next day after John stood, and two of his disciples; 36 And looking upon Jesus as he walked, he saith, Behold the Lamb of God! 37 And the two disciples heard him speak, and they followed Jesus. 38 Then Jesus turned, and saw them following, and saith unto them, What seek ye? They said unto him, Rabbi, (which is to say, being interpreted, Master,) where dwellest thou? 39 He saith unto them, Come and see. They came and saw where he dwelt, and abode with him that day: for it was about the tenth hour. 40 One of the two which heard John speak, and followed him, was Andrew, Simon Peter's brother. 41 He first findeth his own brother Simon, and saith unto him, We have found the Messias, which is, being interpreted, the Christ. 42 And he brought him to Jesus. And when Jesus beheld him, he said, Thou art Simon the son of Jona: thou shalt be called Cephas, which is by interpretation, A stone. 43 The day following Jesus would go forth into Galilee, and findeth Philip, and saith unto him, Follow me. 44 Now Philip was of Bethsaida, the city of Andrew and Peter. 45 Philip findeth Nathanael, and saith unto him, We have found him, of whom Moses in the law, and the prophets, did write, Jesus of Nazareth, the son of Joseph. 46 And Nathanael said unto him, Can there any good thing come out of Nazareth? Philip saith unto him, Come and see. 47 Jesus saw Nathanael coming to him, and saith of him, Behold an Israelite indeed, in whom is no guile! 48 Nathanael saith unto him, Whence knowest thou me? Jesus answered and said unto him, Before that Philip called thee, when thou wast under the fig tree, I saw thee. 49 Nathanael answered and saith unto him, Rabbi, thou art the Son of God; thou art the King of Israel. 50 Jesus answered and said unto him, Because I said unto thee, I saw thee under the fig tree, believest thou? thou shalt see greater things than these. 51 And he saith unto him, Verily, verily, I say unto you, Hereafter ye shall see heaven open, and the angels of God ascending and descending upon the Son of man. JOHN 1 VS 1 IN THE BEGINNING WAS THE WORD AND THE WORD WAS WITH GOD AND THE WORD WAS GOD. THE SAME WAS IN THE BEGINNING WITH GOD. VS 1-3 JESUS CHRIST IS THE SAME AS GOD AND IS THE WORD OF GOD AND BY HIM WERE ALL THINGS MADE. VS 4 IN HIM WAS LIFE AND THE LIFE WAS THE LIGHT OF MEN VS 5 THIS LIGHT OVERCOMES DARKNESS. SHINES WHERE THERE IS DARKNESS AND IS NOT UNDERSTOOD BY DARKNESS VS 6 JOHN THE BAPTIST WAS SENT BY GOD. VS 7 JOHN THE BAPTIST CAME TO BEAR WITNESS OF THE LIGHT JESUS CHRIST THAT ALL MEN MIGHT BELIEVE AND REPENT THROUGH HIM. VS 10 THE WORLD KNEW HIM NOT ALTHOUGH THE WORLD WAS MADE THROUGH HIM AND HE WAS IN THE WORLD. VS 11 SOMETIMES WE COME AND MAKE AN OFFER AND IT IS REJECTED. REMEMBER , JESUS CHRIST WAS REJECTED BY HIS OWN. VS 12 BUT HE CONTINUED TO OFFER SO MUCH SO THAT AS MANY AS RECEIVE HIM, TO THEM GAVE HE POWER TO BECOME THE SONS OF GOD EVEN TO THEM THATBELIEVE ON HIS NAME. BE A CHRISTIAN EVEN WHEN PEOPLE AROUND YOU DO NOT BEHAVE WELL. VS 12,13 YOU NEED POWER TO BE A CHILD OF GOD; BORN OF GOD VS 14 THE WORD WAS MADE FLESH AND DWELT AMONG US. THE WORD OF GOD AND GOD IS ONE. THIS IS EPITOMIZED IN CHRIST JESUS. VS 15 JESUS CHRIST HAS ALWAYS BEEN. VS 16,17 JESUS CHRIST GIVES GRACE AND TRUTH WHICH WE RECEIVE. VS 18 NO MAN HAS SEEN GOD; BUT JESUS CHRIST HAS AND HATH DECLARED HIM, VS 19 – 22 JOHN SAID WHO HE IS, THE VOICE OF ONE CRYING IN THE WILDWERNESS. MAKE STRAIGHT THE WAY OF THE LORD. VS 23 THIS WAS PROPHESIED BY ISAIAH VS 26 JOHN BAPTISED WITH WATER JOHN POINTED PEOPLE TO JESUS CHRIST OUR LIFE AND WORK AND WALK SHOULD POINT PEOPLE TO JESUS CHRIST. VS 29 BEHOLD THE LAMB OF GOD, WHICH TAKETH AWAY THE SIN OF THE WORLD. VS 33 JESUS BAPTIZED WITH THE HOLY GHOST VS 35-40 NOW, JOHN POINTED PEOPLE TO JESUS CHRIST. THEY SAW JESUS CHRIST AND FOLLOWED HIM. WE SHOULD DO LIKEWISE. EG. ANDREW VS 41 HE FIRST FINDETH HIS OWN BROTHER SIMION. TRUE DISCIPLES MAKE OTHER DISCIPLES FOR JESUS CHRIST. VS 42 WHEN YOU COME TO JESUS CHRIST, THINGS CHANGE. PETER’S NAME CHANGED. THOU ART SIMON THE SON OF JONA THOU SHALT BE CALLED CEPHAS – BY INTERPRETATION A STONE. VS 45 PHILIP FINDETH NATHANAEL VS 46-48 JESUS KNOWS AND SEES EVERYTHING AT ALL TIMES. EG NATHANAEL DOUBTED VS 49-51 HE BELIEVED. JESUS TOLD HIM THAT HE WILL SEE OTHER THINGS. HEAVEN OPEN AND THE ANGELS OF GOD ASCENDING AND DESCENDING UPON THE SON OF MAN.

FIELDS AND WAVES

FIELDS AND WAVES When two masses or two charges are stationary, the force between them in both cases is inversely proportional to the square of their separation; ie. The distance b/w them. Newton’s law of gravitation --------------------------- 1665 Coulomb’s law of electrostatics proposed ------------------1785 We shall be dealing with systems containing any number of stationary charges. Mechanics: This theory of mechanics is a theory that describes the behavior of an object under the action of a known force. Large objects moving at speeds that are small compared to the speed of light obey Newton’s Mechanics. Eg Planetary motion. Classical Mechanics does not apply to observations on particles of atomic scale or on very fast moving objects. These are governed by quantum theory and the special theory of relativity. These have propelled advances of the twentieth and twenty first century. While Mechanics has changed so much, Coulomb’s law has stood still. Although the behavior of atoms does not fit into the framework of the old mechanics, when the Coulomb force is used with the theories of Relativity and Quantum Mechanics, atomic interactions are explained with great precision.

COMPASSION

Compassion Jesus Christ always had compassion Compassion always makes you to look kindly on someone. Compassion always makes you to think kindly about somebody Compassion always makes you to act kindly towards someone Christians always have compassion. Jesus Christ healed the sick(Lk7:1 – [13] 15),(Mt14:14 [14]- 21), raised the dead, fed the hungry(Lk9:10-17) and gave hope to the hopeless. God is love. When you love you have compassion. Jesus Christ used the story of the good Samaritan to illustrate this. In the story of a certain Samaritan, (Lk. 10:33) The Samaritan had compassion on him (The man who was attacked by robbers.) (Lk. 10: 30 – 37) Let us have Jesus Christ in our heart today and believe in our Lord Jesus Christ sincerely and have compassion always on others. Let us have a compassionate heart as sincere Christians. It will also help us to help others in need and to forgive others when they offend us. Thank you and God bless you.