CapacitanceHard
Question
Let C be the capacitance of a capacitor discharging through a resistor R. Suppose t1 is the timetaken for the energy stored in the capacitor to reduce to half its initial value and t2 is the time takenfor the charge to reduce to one-fourth its initial value. Then the ratio t1/t2 will be
Options
A.1
B.
C.
D.4
Solution
(q0e- t/T)2 = 
(where 
= CR)
Now q = q0e-t/T
q = q0e-t/T t2 = Tln4 = 2Tln2
∴
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