Q.

Half portion of a spherical capacitor is filled with a dielectric constant k = 2 and conductivity σ. The charge given to spherical capacitor is Q0. Due to the conductivity of dielectric, it leaks. The time constant for the discharging circuit is  n0σ. Find the value of n.  

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answer is 3.

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Detailed Solution

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C=2πabε0(k+1)(ba) R=1α(ba)2πab RC=2πabε0(k+1)(ba)(ba)σ2πab Q=Q0eσtε0(k+1)

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