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Parallel Plates Capacitors (Conceptual)

  1. Sep 22, 2008 #1
    1. The problem statement, all variables and given/known data
    The sketch below is a side view of two capacitors consisting of parallel plates in air. The capacitor plates are equal in area but the plate separation differs as shown. Individual capacitors are specified with two letters, for example RS is a single capacitor. The charge on plate R is represented by QR. The capacitors are charged so that the potential (voltage) at A, VA, initially equals 11 volts. For each of the statements choose the proper response.

    [​IMG]


    2. Relevant equations
    U = (1/2)CV^2 = (1/2)QV


    3. The attempt at a solution
    1) The energy stored in capacitor TU is ... the energy
    stored in capacitor RS.
    LESS THAN: As the charge separation between two plates
    increases, so does the energy stored between them. Since
    there is a greater charge separation in the plates R and S,
    the energy stored in capacitor RS will be greater.

    2) If the plate separation for capacitor RS decreases, the
    charge on QT will ... .
    decrease?: Distance between R and S decreases, so the
    voltage between them also decreases. So the voltage between
    T and U increases? That means the charge built up on QT
    will decrease.

    3) QT is ... QR.
    GREATER THAN: Since T is closer to its other plate than
    U is, QT will be greater than QU. Less charge separation
    means a greater charge will build up on the plate.

    4) If the plate separation for capacitor TU decreases, the
    energy stored in RS will ... .
    increase?: Distance between T and U decreases, voltage
    across TU decreases, voltage across RS increases, energy
    stored increases?

    5) The voltage across capacitor RS is ... that across
    capacitor TU.
    GREATER THAN: The voltage and the charge separation are
    directly proportional, so the greater the charge separation
    the greater the voltage.

    6) The electric field between plates T and U is ... that
    between plates R and S.
    GREATER THAN: The distance between the two plates is
    inversely proportional to the electric field between them.

    7) QR + QS is ... zero.
    EQUAL TO: The charges on opposite plates have equal and
    opposite charges.
     
  2. jcsd
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