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In an RC circuit while charging, the gra...

In an `RC` circuit while charging, the graph of `1n i` versis time is as shown by the dotted line in the diagram figure. Where `i` is the current. When the value of the resistance is doubled, which of the solid curve best represents the variation of `1n i` versus time

Text Solution

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The correct Answer is:
B
During charging
`Q = Q_(0) (1-e^(-t//RC)) = CV (1-e^(-t//RC))`
`I = (-CVe^(-t//RC)) xx -(1)/(R ) e^(-t//RC)`
`lnI = ln (V)/(R)-(t)/(RC ) rArr lnI =- (t)/(RC )+ln (V)/(R )`
slop and intercept both decreases.
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