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    Lecture 1Electric charge

    August 5, 2015

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    Electric charge

    an intrinsic property of matter, just like mass

    SI unit: coulomb (C)

    can be positive or negative opposite charges attract, like charges repel

    Remark

    Theres nothing negative about negative charges.

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    Structure of an atom

    If, in some cataclysm, all of scientific knowledge were to be destroyed,and only one sentence passed on to the next generations of creatures,what statement would contain the most information in the fewest words?

    I believe it is. . .that all things are made of atoms. . .

    Richard Feynman

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    Structure of an atom

    Lecture 1 August 5, 2015 4 / 24

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    Charge is quantized

    Definition (Elementary charge (e))

    The magnitude of electron and proton charge. It is equal to 1.

    6

    1019C

    .

    Charges come in multiples of the elementary charge

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    Conductors and insulators

    conductors electrons move freely

    insulators electrons are bound to atoms

    conductor insulatormetal plasticwater air

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    Charging by rubbing

    Lecture 1 August 5, 2015 7 / 24

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    Charging by rubbing

    Lecture 1 August 5, 2015 8 / 24

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    Charging by rubbing

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    #LaundryDay

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    #LaundryDay

    Lecture 1 August 5, 2015 11 / 24

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    #LaundryDay

    Why do clothes stick together in the dryer?

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    Charge is conserved

    The total charge of a closed system is a constant.

    My hair and my comb are initially neutral.If I comb my hair and the comb ends up with a charge Q,

    what is the final charge of my hair? +Q!

    Lecture 1 August 5, 2015 13 / 24

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    Charge is conserved

    Consider two identical metalballs.

    Total charge initially:

    q+ 3q= +2q.If the objects are identical, thistotal charge will be distributedequally to each of them. So eachwould end up with a charge of+2q

    2 = +q .

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    Charge is conserved

    Would the answer be thesame? No! Since the larger

    metal ball could take in/spitout more electrons, it wouldend up with the larger chunkof the systems total charge.

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    Grounding

    Remark

    Earth is a very, very large conductor. If we place a charged conductor in

    contact with the Earth, essentially all of its charge is sucked in by the

    Earth, thereby making the conductor electrically neutral. We say that the

    object is grounded.

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    Ch i b i d i

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    Charging by induction

    Lecture 1 August 5, 2015 17 / 24

    Ch i b i d i

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    Charging by induction

    Lecture 1 August 5, 2015 18 / 24

    Ch i b i d i

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    Charging by induction

    Lecture 1 August 5, 2015 19 / 24

    Ch i b i d ti

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    Charging by induction

    Lecture 1 August 5, 2015 20 / 24

    Ch i b i d ti

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    Charging by induction

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    Application of charging by induction

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    Application of charging by induction

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    Quiz!

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    Quiz!

    Consider three identical conducting cubes, A, B, and C, withcorresponding charges as shown in the figure. Cube A and Cube B weremade to touch each other. Cube A was then made to touch Cube C.What are the final charges on each cube?

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    Quiz!

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    Quiz!

    Solution:

    When Cube A and Cube Bare made to touch each other, their totalcharge, 2q+ 0 = +2q, were distributed equally to each of them. So eachwould end up with a charge of +2q2 = +q.

    When Cube A and Cube Bare then made to touch each other, their total

    charge, +q+ (4q) = 3q, were distributed equally to each of them. Soeach would end up with a charge of 3q2 =

    32q.

    qA = 3

    2q, qB= +q, qC =

    3

    2q.

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