A parallel plate condenser of capacity 5 μ F is kept connected to a batter

Question

A parallel plate condenser of capacity 5

μ

F is kept connected to a battery of emf 10 V. If the space between the plates is filled with a medium of dielectric constant 12, then the additional charge taken from the battery is?

Options:

A . 400 μc

B . 450 μc

C . 500 μc

D . 550 μc

Answer: Option D
:
D

q_{1} = c_{1} V = 5 \times 10^{- 6} \times 10 = 50 μ c

q_{1}^{1} = k c_{1} v = 12 \times 5 \times 10^{- 6} \times 10 = 600 μ c

A d d . C h a r g e = q_{1}^{1} - q_{1} = 600 - 50

= 550 μ C

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