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Electrostatic Potential Test - 5
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Electrostatic Potential Test - 5
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  • Question 1/10
    1 / -0.25

    For a charged conductor of arbitrary shape, inside the conductor

    Solutions

    The potential difference between any two points inside the hollow conductor is zero. This means that the potential at all points inside the hollow charged conductor is the same and it is equal to the value of the potential at its surface .

    The electric field on the surface of a hollow conductor is maximum and it drops to zero abruptly inside the conductor .

    E = - dV/dr

  • Question 2/10
    1 / -0.25

    An equipotential surface is a surface ______.

    Solutions

    When the potential at all points on the surface is the same, such a surface is called an equipotential surface .

    The potential difference between any two points on an equipotential surface is zero.

  • Question 3/10
    1 / -0.25

    A variable capacitor and an electroscope are connected in parallel to a battery. The reading of the electroscope would be decreased by_______

    Solutions

    An electroscope is a device that measures the potential difference.
    If it is connected in parallel to the capacitor, the potential across it will be equal to the potential across the capacitor, which is equal to the potential across the battery.
    On decreasing the battery potential , the potential difference across the electroscope reduces, and hence the reading reduces. 

  • Question 4/10
    1 / -0.25

    A  2 μF  capacitor C1  is charged to a voltage 100 V and a 4  μF  capacitor C2  is charged to a voltage 50 V. The capacitors are then connected in parallel. What is the loss of energy due to parallel connection?

    Solutions

  • Question 5/10
    1 / -0.25

    If the potential difference between the plates of a capacitor is increased by 0.1%, the energy stored in the capacitor increases by  nearly:

    Solutions

    The intial energy stored in the capacitor C of potential difference V is
    E = (1/2) CV2  
    When the p.d increased by ΔV, the energy stored will be  ΔE.

  • Question 6/10
    1 / -0.25

    If the diameter of earth is 128 x 102   km, then its capacitance will be:

    Solutions

    The capacitance of a spherical conductor of radius R is  

  • Question 7/10
    1 / -0.25

    If a charge moves in an electrical field:

    Solutions

    When a charged particle moves in an electric field, its electric potential energy decreases, its kinetic energy will increase i.e.  the total energy is conserved.

  • Question 8/10
    1 / -0.25

    If the charge on a capacitor is increased by 2 coulomb, the energy stored in it increases by 21%. The original charge on the capacitor (in coulomb) is:

    Solutions

    The initial energy of the capacitor of capacitance C and charge Q1 

    When the charge increases to Q2 the change in the energy of the capacitor, 

    Given percentage increase of energy,





    Since, Q2 - Q1 = 2
    ⇒Q1 = 20 C

  • Question 9/10
    1 / -0.25

    In series combination of capacitors, potential drops across the individual capacitors are equal to_______

    Solutions

    When capacitors are connected in series, they have equal charge but the potential difference across them is given by

  • Question 10/10
    1 / -0.25

    A capacitor of capacitance C is fully charged by a 200 V supply. It is then discharged through a small coil of resistance wire embedded in a thermally insulated block of specific heat 2.5 ×102 Jkg−1 K−1  and of mass 0.1 kg. If the temperature of the block rises by 0.4 K, what is the value of C?

    Solutions

    Energy stored in the capacitor
    This is released as heat when the capacitor discharges through the metal block. The quantity of heat = mass xs p.heatx rise in temperature. 
    Q = m x s x  Δθ = 0.1 x 2.5 x 102  x 0.4 = 10 J
    U = Q; 2 x 104  C = 10; C = 5 x 10-4   F = 500  μF

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