An oscillating LC circuit consists of a 75,mH | vedclass

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

Question

(B) In an oscillating $LC$ circuit,the total energy is conserved,oscillating between the electric field of the capacitor and the magnetic field of the

Vedclass · Accepted Answer

$9$

Vedclass · Answer

(B) In an oscillating $LC$ circuit,the total energy is conserved,oscillating between the electric field of the capacitor and the magnetic field of the inductor.The maximum energy stored in the capacitor is equal to the maximum energy stored in the inductor:$\frac{1}{2} L I_{\max}^2 = \frac{1}{2} \frac{Q_{\max}^2}{C}$Rearranging for the maximum current $I_{\max}$:$I_{\max} = Q_{\max} \sqrt{\frac{1}{LC}}$Given values:$L = 75 	imes 10^{-3} \, H$$C = 1.2 	imes 10^{-6} \, F$$Q_{\max} = 2.7 	imes 10^{-6} \, C$Calculating the angular frequency $\omega = \frac{1}{\sqrt{LC}}$:$\omega = \frac{1}{\sqrt{75 	imes 10^{-3} 	imes 1.2 	imes 10^{-6}}} = \frac{1}{\sqrt{90 	imes 10^{-9}}} = \frac{1}{\sqrt{9 	imes 10^{-8}}} = \frac{1}{3 	imes 10^{-4}} = \frac{10^4}{3} \, rad/s$Now,$I_{\max} = Q_{\max} 	imes \omega$:$I_{\max} = (2.7 	imes 10^{-6}) 	imes \frac{10^4}{3} = 0.9 	imes 10^{-2} \, A = 9 	imes 10^{-3} \, A = 9 \, mA$.

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 $...........\,mA$.

Similar Questions

In $L-C$ oscillation,the maximum charge on the capacitor is $Q$. If at any instant,the electric energy and magnetic energy associated with the circuit are equal,then the charge on the capacitor at that instant is:

An $LCR$ circuit behaves like a damped harmonic oscillator. Comparing it with a physical spring-mass damped oscillator having a damping constant $b$,the correct equivalence would be:

An $L-C$ circuit contains a $196 \text{ pF}$ capacitor and a $441 \text{ } \mu\text{H}$ inductor. The frequency of electromagnetic radiation emitted by an antenna coupled to the $L-C$ circuit is:

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

Initially,the key was placed on $(1)$ until the capacitor got fully charged. Now,the key is placed on $(2)$ at $t = 0$. Find the minimum time when the energy in both the capacitor and the inductor will be the same.

Vedclass Test Series

Exam Paper Generator

Online Exam Module