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Q.

A capacitor is charged using an external battery with a resistance x in series. The dashed line shows the variation of ln I with respect to time t. lf the resistance is changed to 2x, the new graph will be

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a

P

b

Q

c

R

d

S

answer is B.

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Detailed Solution

I=εR e−t/RClogeI=loge  εR − tRC  logee ⇒  ln I = ln εR−tRCSlope  =−tRC;  y   intercept=lnεrIf resistance is made doubled, both slope and y intercept decrease in magnitude.
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A capacitor is charged using an external battery with a resistance x in series. The dashed line shows the variation of ln I with respect to time t. lf the resistance is changed to 2x, the new graph will be