Electrostatics 6 Question 4

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

(2004, 2M)

(a) P

(b) Q

(c) R

(d) S

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Solution:

  1. Charging current, I=ERetRC

Taking log on both sides, logI=logERtRC

When R is doubled, slope of curve decreases. Also at t=0, the current will be less. Graph Q represents the best. Hence, the correct option is (b).



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