Current Electricity and Electrical InstrumentHard
Question
Capacitor C1 of capacitance 1μF and capacitor C2 of capacitance 2μF are separately charged fully by a common battery. The two capacitors are then separately allowed to discharge through equal resistore at time t = 0.
Options
A.the current in each of the two discharging circuits is zero at t = 0
B.the current in the two discharging circuits at t = 0 are equal but not zero
C.the current in the two discharging circuits at t = 0 are unequal
D.capacitor C1, losses 50 % of its initial charge sooner then C2 loses 50% initial charge
Solution
The discharging current in the circuit is,
i = i0e- t/CR
Here, i0 = initial current =
Here, V is the potential with which capacitor was charged. Since, V and R for both the capacitors are same, inital discharge current will be same but non-zero.
∴ Correct option (b).
Further,
= CRC1 < C2
or
or C1, losses 50 % of its initial charge sooner then C1
or Correct option (d).
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