Three identical capacitors are given a charge Q each and they are then allowed to discharge through resistance R1, R2 and R3. Their charges, as a function of time shown in the graph below. The smallest of the three resistance is
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a
R3
b
R2
c
R1
d
Cannot be predicted
answer is C.
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Detailed Solution
During the discharge of a capacitor through a resistance charge at any instant If Q → constant, then t α RNow, draw a line parallel to the time axis as shown. Suppose this line cut the graphs at points 1, 2 and 3. Corresponding time are t1, t2 and t3 respectively. Hence from graph t1 < t2 < t3 ⇒ R1 < R2 < R3