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Q.

A capacitor $C = 100 μ F$ is connected to three resistors each of resistance $1 k Ω$ and a battery of emf 9V. The switch S has been closed for long time so as to charge the capacitor. When switch S is opened, the capacitor discharges with time constant if the capacitor discharges with time constant of z x 10 ms, find the value of z.

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answer is 5.

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Detailed Solution

$C = 100 μ F = 100 \times 10^{- 6} and$

$R = \frac{1}{2} kΩ = 0.5 \times 10^{3};$

$τ = CR = 50 ms \Rightarrow z = 5$

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A capacitor C=100μF is connected to three resistors each of resistance 1kΩ and a battery of emf 9V. The switch S has been closed for long time so as to charge the capacitor. When switch S is opened, the capacitor discharges with time constant if the capacitor discharges with time constant of z x 10 ms, find the value of z.