In an LC circuit,the capacitor has a maximum | vedclass

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

Question

(A) In an $LC$ circuit,the voltage across the inductor must equal the voltage across the capacitor at any instant.Using Kirchhoff's voltage law,we hav

Vedclass · Accepted Answer

$\frac{q_0}{LC}$

Vedclass · Answer

(A) In an $LC$ circuit,the voltage across the inductor must equal the voltage across the capacitor at any instant.Using Kirchhoff's voltage law,we have $V_L = V_C$,which implies $L \left| \frac{di}{dt} \right| = \frac{q}{C}$.Rearranging this,we get $\left| \frac{di}{dt} \right| = \frac{q}{LC}$.To find the maximum value of $\left| \frac{di}{dt} \right|$,we must use the maximum value of charge $q$,which is given as $q_0$.Therefore,$\left| \frac{di}{dt} \right|_{\max} = \frac{q_0}{LC}$.

In an $LC$ circuit,the capacitor has a maximum charge $q_0$. The value of $\left| \frac{di}{dt} \right|_{\max }$ is

Similar Questions

Show that in the free oscillations of an $LC$ circuit,the sum of energies stored in the capacitor and the inductor is constant in time.

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

Solve the differential equation of $L-C$ circuit and obtain the expression of current.

In an $LC$ circuit,the capacitor has maximum charge $q_0$. The value of ${\left| {\frac{{di}}{{dt}}} \right|_{\max }}$ 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 $...........\,mA$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module