Consider the following circuit. By keeping S_ | vedclass

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

Question

(D) When $S_1$ is closed,the capacitor $C$ charges to a potential $V$. The energy stored in the capacitor is $U_E = \frac{1}{2} CV^2$.When $S_1$ is op

Vedclass · Accepted Answer

At any time $t > 0$,the instantaneous current in the circuit may be $V \sqrt{\frac{C}{L}}$.

Vedclass · Answer

(D) When $S_1$ is closed,the capacitor $C$ charges to a potential $V$. The energy stored in the capacitor is $U_E = \frac{1}{2} CV^2$.When $S_1$ is opened and $S_2$ is closed,the capacitor discharges through the inductor $L$,forming an $LC$ oscillation circuit.At $t = 0$ (the moment $S_2$ is closed),the energy is entirely electric (stored in the capacitor).As the capacitor discharges,the energy oscillates between the electric field of the capacitor and the magnetic field of the inductor.By the law of conservation of energy,the maximum electric energy equals the maximum magnetic energy:$\frac{1}{2} CV^2 = \frac{1}{2} LI_{max}^2$$I_{max}^2 = \frac{C}{L} V^2$$I_{max} = V \sqrt{\frac{C}{L}}$Thus,the instantaneous current in the circuit can reach a maximum value of $V \sqrt{\frac{C}{L}}$.

Consider the following circuit. By keeping $S_1$ closed,the capacitor is fully charged and then $S_1$ is opened and $S_2$ is closed,then

Similar Questions

Obtain the differential equation for an $LC$ circuit.

$A$ capacitor of capacity $C$ is charged to a potential difference of $V_1$. The plates of the capacitor are then connected to an ideal inductor of inductance $L$. The current through the inductor when the potential difference across the capacitor reduces to $V_2$ is

An oscillating $LC$ circuit consists of a $75\,mH$ inductor and a $1.2\,\mu F$ capacitor. If the maximum charge on the capacitor is $2.7\,\mu C$,the maximum current in the circuit will be $...........\,mA$.

$A$ capacitor of capacity $20 \mu F$ is charged to a potential of $35 \text{ V}$. The battery is then disconnected. $A$ pure inductor coil of $200 \text{ mH}$ is connected across the capacitor so that $LC$ oscillations are set up. The maximum current in the coil is: (in $\text{ A}$)

$A$ $LC$ circuit is in the state of resonance. If $C = 0.1 \mu F$ and $L = 0.25 \ H$. Neglecting the ohmic resistance of the circuit,what is the frequency of oscillations in $Hz$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module