In the circuits (a) and (b),switches S_1 and | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) In circuit $(a)$,we have an $RC$ series circuit. When the switch is closed at $t=0$,the capacitor starts charging. The current in the circuit is g

Vedclass · Accepted Answer

Vedclass · Answer

(D) In circuit $(a)$,we have an $RC$ series circuit. When the switch is closed at $t=0$,the capacitor starts charging. The current in the circuit is given by $i(t) = \frac{E}{R} e^{-t/RC}$. This shows that the current starts at a maximum value of $\frac{E}{R}$ and decays exponentially to zero as $t 	o \infty$.In circuit $(b)$,we have an $RL$ series circuit. When the switch is closed at $t=0$,the inductor opposes the change in current. The current in the circuit is given by $i(t) = \frac{E}{R} (1 - e^{-Rt/L})$. This shows that the current starts at $0$ and increases exponentially to a maximum steady-state value of $\frac{E}{R}$ as $t 	o \infty$.Comparing these behaviors with the given options,figure $(d)$ shows curve $(a)$ starting at $\frac{E}{R}$ and decaying,and curve $(b)$ starting at $0$ and increasing to $\frac{E}{R}$. Thus,figure $(d)$ is the correct representation.

In the circuits $(a)$ and $(b)$,switches $S_1$ and $S_2$ are closed at $t = 0$ and are kept closed for a long time. The variations of current in the two circuits for $t \ge 0$ are roughly shown by which figure? (Figures are schematic and not drawn to scale.)

Similar Questions

An inductance coil has a time constant of $4 \, sec$. If it is cut into two equal parts and connected in parallel,then the new time constant of the circuit is.....$sec$.

In an $LR$ circuit,the current increases to one-fourth of its maximum value in $4 \, sec$. What is the time constant of the circuit?

For the given circuit,the current $i$ through the battery when the key is closed and the steady state has been reached is .....$A$.

The resistance in the following circuit is increased at a particular instant. At this instant,the value of resistance is $10\,\Omega$. The current in the circuit will be

Vedclass Test Series

Exam Paper Generator

Online Exam Module