Electrostatic Potential and Capacitance Questions and Answers Part-2

1. Eight drops of mercury of equal radii possessing equal charges combine to form a big drop. Then the capacitance of bigger drop compared to each individual small drop is
a) 8 times
b) 4 times
c) 2 times
d) 32 times

Answer: c
Explanation:
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2.A condenser of capacity \[50 \mu F\]   is charged to 10 volts . Its energy is equal to
a) \[2.5\times10^{-3}joule\]
b) \[2.5\times10^{-4}joule\]
c) \[5\times10^{-2}joule\]
d) \[1.2\times10^{-8}joule\]

Answer: a
Explanation:
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3.The potential gradient at which the dielectric of a condenser just gets punctured is called
a) Dielectric constant
b) Dielectric strength
c) Dielectric resistance
d) Dielectric number

Answer: b
Explanation: Dielectric strength

4. A parallel plate condenser has a capacitance 50 \[\mu F\]   in air and \[110 \mu F\]   when immersed in an oil. The dielectric constant 'k' of the oil is
a) 0.45
b) 0.55
c) 1.10
d) 2.20

Answer: d
Explanation:
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5. Separation between the plates of a parallel plate capacitor is d and the area of each plate is A . When a slab of material of dielectric constant k and thickness t(t< d)is introduced between the plates, its capacitance becomes
a) \[\frac{\epsilon_{0}A}{d+t\left(1-\frac{1}{k}\right)}\]
b) \[\frac{\epsilon_{0}A}{d+t\left(1+\frac{1}{k}\right)}\]
c) \[\frac{\epsilon_{0}A}{d-t\left(1-\frac{1}{k}\right)}\]
d) \[\frac{\epsilon_{0}A}{d-t\left(1+\frac{1}{k}\right)}\]

Answer: c
Explanation:
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6.The capacity of parallel plate condenser depends on
a) The type of metal used
b) The thickness of plates
c) The potential applied across the plates
d) The separation between the plates

Answer: d
Explanation:
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7.The energy of a charged capacitor resides in
a) The electric field only
b) The magnetic field only
c) Both the electric and magnetic field
d) Neither in electric nor magnetic field

Answer: a
Explanation: Stationary charge produces electric field only.

8. No current flows between two charged bodies connected together when they have the same
a) Capacitance or \[\frac{Q}{V}\] ratio
b) Charge
c) Resistance
d) Potential or \[\frac{Q}{C}\] ratio

Answer: d
Explanation: Potential or \[\frac{Q}{C}\] ratio

9. The capacity of a parallel plate condenser is C . Its capacity when the separation between the plates is halved will be
a) 4C
b) 2 C
c) \[\frac{C}{2}\]
d) \[\frac{C}{4}\]

Answer: b
Explanation:
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10. Eight small drops, each of radius r and having same charge q are combined to form a big drop. The ratio between the potentials of the bigger drop and the smaller drop is
a) 8 : 1
b) 4 : 1
c) 2 : 1
d) 1 : 8

Answer: b
Explanation:
q20