Q. 624.0( 3 Votes )

A parallel-plate capacitor with plate area 20 cm2 and plate separation 1.0 mm is connected to a battery. The resistance of the circuit is 10 kΩ. Find the time constant of the circuit.

Answer :

Concepts/Formulas Used:


Time constant for capacitor:



Where R is the resistance through which the capacitor is being charged/discharged and C is the capacitance.


Capacitance of a parallel plate capacitor:


A capacitor consists of two conducting plates of area of cross section A each separated by a distance d. The capacitance if there is only vacuum between the plates is given by:



where ϵ0 is the permittivity of free space.


Given,


Area of the plate,


(


Now, distance of separation:


Resistance ,


We know that,






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