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Q.

When capacitor is partially filled with dielectric the effective distance between the plates decreases by

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a

$t (1 - \frac{1}{k})$

b

$t (1 + \frac{1}{k})$

c

$(\frac{t}{k})$

d

$(1 - \frac{1}{k})$

answer is D.

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Detailed Solution

$C = \in_{0} A / (d - t + \frac{t}{k}) C' = \in_{0} A / d' ∵ C = C^{1} \Rightarrow d' = (d - t + \frac{t}{k}) \Rightarrow d - d' = t - \frac{t}{k} = t (1 - \frac{1}{k})$

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When capacitor is partially filled with dielectric the effective distance between the plates decreases by