A graph between current and time during charging of a capacitor by a battery in series with a resistor is shown. The graphs are drawn for two circutis. `R_1, R_2, C_1, C_2` and `V_1, V_2` are the values of resistance, capacitance and `EMF` of the cell in the two circuits. If only two parameters (out of resistance, capacitance, `EMF`) are different in the two circuits. What may be the correct options (s) ?

Options

A. `V_(1)=V_(2), R_(1) gt R_(2), C_(1) gt C_(2)`
B. `V_(1) gt V_(2), R_(1) gt R_(2), C_(1)= C_(2)`
C. `V_(1)ltV_(2), R_(1) lt R_(2), C_(1) = C_(2)`
D. `V_(1) lt V_(2), C_(1) gt C_(2), R_(1) = R_(2)`

Answer

C

Explanation

`I=I_(0)e^(t/(RC))`
`logI=logI_(0) -t/(RC) rArr logI =log((V_(0))/R)-t/(RC)`
from above equation only option (3) is correct.