A capacitor of capacitance C is charged to a | vedclass

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

Question

(B) The initial energy stored in the capacitor is $U_0 = \frac{1}{2} C V_0^2$.When $25\%$ of the energy is transferred to the inductor,the remaining e

Vedclass · Accepted Answer

$\frac{\sqrt{3}}{2} V_0$

Vedclass · Answer

(B) The initial energy stored in the capacitor is $U_0 = \frac{1}{2} C V_0^2$.When $25\%$ of the energy is transferred to the inductor,the remaining energy in the capacitor is $U = U_0 - 0.25 U_0 = 0.75 U_0 = \frac{3}{4} U_0$.Since the energy stored in a capacitor is given by $U = \frac{1}{2} C V^2$,we have $\frac{1}{2} C V^2 = \frac{3}{4} (\frac{1}{2} C V_0^2)$.Simplifying this,we get $V^2 = \frac{3}{4} V_0^2$.Taking the square root of both sides,we find $V = \frac{\sqrt{3}}{2} V_0$.

$A$ capacitor of capacitance $C$ is charged to a potential difference $V_0$. Now,this capacitor is connected to an ideal inductor. When $25\%$ of the energy of the capacitor is transferred to the inductor,what will be the potential difference across the capacitor?

Similar Questions

$A$ capacitor of capacitance $500\,\mu F$ is charged completely using a dc supply of $100\,V$. It is now connected to an inductor of inductance $50\,mH$ to form an $LC$ circuit. The maximum current in $LC$ circuit will be $.........A$.

Compare $LC$ oscillations and forced damped oscillations in mechanics.

$A$ transistor-oscillator using a resonant circuit with an inductor $L$ (of negligible resistance) and a capacitor $C$ in series produces oscillations of frequency $f$. If $L$ is doubled and $C$ is changed to $4C$,the frequency will be

Give the name of the physical quantity in an $LCR$ circuit that corresponds to the spring constant $k$ in forced oscillations.

Compare the oscillations in an $LC$ circuit with the oscillations of a block attached to a spring.

Vedclass Test Series

Exam Paper Generator

Online Exam Module