A capacitor of capacity $C$ is charged to a steady potential difference $V$ and connected in series with an open key and a pure resistor $'R'$. At time $t = 0$, the key is closed. If $I =$ current at time $t$, a plot of log $I$ against $'t'$ is as shown in $(1)$ in the graph. Later one of the parameters i.e. $V, R$ or $C$ is changed keeping the other two constant, and the graph $(2)$ is recorded. Then
A$C$ is reduced
B$C$ is increased
C$R$ is reduced
D$R$ is increased
Diffcult
Download our app for free and get started
B$C$ is increased
b It is discharging of capactior
$I=\frac{E}{R} e^{-t / R C}$
$\log I=\log \frac{E}{R}-\frac{t}{R C}$
Intercept is constant $\Rightarrow \mathrm{E} \& \mathrm{R}$ constant
$|$slope $|$ dercrease $\Rightarrow C \uparrow$
Download our app
and get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
A $10\,\mu F$ capacitor is charged to a potential difference of $50\;V$ and is connected to another uncharged capacitor in parallel. Now the common potential difference becomes $20\;volt$. The capacitance of second capacitor is....$\mu F$
A $400\, pF$ capacitor is charged with a $100\, V$ battery. After disconnecting battery this capacitor is connected with another $400\, pF$ capacitor. Then find out energy loss.
A capacitor stores $60\ \mu C$ charge when connected across a battery. When the gap between the plates is filled with a dielectric , a charge of $120\ \mu C$ flows through the battery , if the initial capacitance of the capacitor was $2\ \mu F$, the amount of heat produced when the dielectric is inserted.......$\mu J$
A $500\,\mu F$ capacitor is charged at a steady rate of $100\, \mu C/sec$. The potential difference across the capacitor will be $10\, V$ after an interval of.....$sec$
Three capacitors each having capacitance $C = 2\,\mu F$ are connected with a battery of $e.m.f.$ $30\, V$ as shown in the figure. When the switch $S$ is closed, then select the incorrect statement