Question

Two identical circuits have a capacitor in series wl a resistor In circuit A, the resistor has resistance R, while in Ercit B, its resistance is 4R. The capacitors are identical. Each capacitor begins fully charged, and each Ürcuit is open. When each circuit is connected, capacitor will fully discharge If a time t is required for ar cit A s capacitor. to holly discharge what time will be required for circuit B's capacitor to do the same?

Answer 1

Ans. Let q (very small be the charge on the capacitors when they are nearly discharged. ;) Capacitor in A » .q= Qe Za , t = time taken by ZA= RC (time constant i Capacitor in A to discharge for this circuit, l + e Q= initial charge on A 1) Capacitor in_B => 78= (4R) q= QEEB and t = time taken by the capacitor in B to discharge. dividing both RE - t' = 24 t = 4RC + time required by B's capacitor to fully . discharge. (t=ut)