A capacitor of 1,mu F initially charged to 10 | vedclass

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

Question

(B) In an $LC$ circuit,the total energy is conserved.Initially,the energy is stored in the capacitor as electrostatic potential energy: $U_E = \frac{1

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(B) In an $LC$ circuit,the total energy is conserved.Initially,the energy is stored in the capacitor as electrostatic potential energy: $U_E = \frac{1}{2} CV_0^2$.When the current reaches its maximum value $I_0$,all energy is stored in the inductor as magnetic potential energy: $U_B = \frac{1}{2} LI_0^2$.By the principle of conservation of energy: $\frac{1}{2} CV_0^2 = \frac{1}{2} LI_0^2$.Solving for $I_0$: $I_0 = V_0 \sqrt{\frac{C}{L}}$.Given $C = 1 	imes 10^{-6} \, F$,$V_0 = 10 \, V$,and $L = 0.1 	imes 10^{-3} \, H = 10^{-4} \, H$.Substituting the values: $I_0 = 10 	imes \sqrt{\frac{10^{-6}}{10^{-4}}} = 10 	imes \sqrt{10^{-2}} = 10 	imes 0.1 = 1 \, A$.

$A$ capacitor of $1\,\mu F$ initially charged to $10\,V$ is connected across an ideal inductor of $0.1\,mH$. The maximum current in the circuit is.....$A$

Similar Questions

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

The natural frequency of an $L-C$ circuit is $1,25,000 \text{ cycle/s}$. Then the capacitor $C$ is replaced by another capacitor with a dielectric medium of dielectric constant $K$. In this case,the frequency decreases by $25 \text{ kHz}$. The value of $K$ is

$A$ tuned circuit of a transistor oscillator unit has an inductance of $5 mH$ and a capacitance of $5 pF$. The natural frequency of the oscillator is

If a $LC$ circuit is considered analogous to a harmonically oscillating spring-block system,which energy of the $LC$ circuit would be analogous to potential energy and which one analogous to kinetic energy?

$A$ charged $10 \mu F$ capacitor is connected to a $16 \text{ mH}$ inductor. What is the angular frequency of free oscillations of the circuit?

Vedclass Test Series

Exam Paper Generator

Online Exam Module