An inductor coil stores U energy when I curre | vedclass

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

Question

(C) The energy stored in an inductor is given by $U = \frac{1}{2} L I^2$,where $L$ is the inductance and $I$ is the current.From this,we can express t

Vedclass · Accepted Answer

$\frac{2U}{P}$

Vedclass · Answer

(C) The energy stored in an inductor is given by $U = \frac{1}{2} L I^2$,where $L$ is the inductance and $I$ is the current.From this,we can express the inductance as $L = \frac{2U}{I^2}$.The rate of energy dissipation (power loss) in the inductor due to its internal resistance $R$ is given by $P = I^2 R$.From this,we can express the resistance as $R = \frac{P}{I^2}$.The time constant $	au$ of an $LR$ circuit is defined as $	au = \frac{L}{R}$.Substituting the expressions for $L$ and $R$:$	au = \frac{2U / I^2}{P / I^2} = \frac{2U}{P}$.Therefore,the time constant is $\frac{2U}{P}$.

An inductor coil stores $U$ energy when $I$ current is passed through it and dissipates energy at the rate of $P$. The time constant of the circuit,when this coil is connected across a battery of zero internal resistance,is

Similar Questions

An $e.m.f.$ of $15 \ V$ is applied in a circuit containing $5 \ H$ inductance and $10 \ \Omega$ resistance. The ratio of the currents at time $t = \infty$ and at $t = 1 \ s$ is:

Find the current in the $4 \Omega$ resistance shown in the figure in the following cases:
$(a)$ Just after the closing of the key.
$(b)$ $A$ long time after the closing of the key.

In the given circuit,the switch is in position $a$. For what value of $R$ will the circuit have a time constant of $10\,\mu s$ in $K\Omega$?

In the circuit shown,the switch $S_1$ is closed at time $t = 0$ and the switch $S_2$ is kept open. At some later time $t_0$,the switch $S_1$ is opened and $S_2$ is closed. The behavior of the current $I$ as a function of time $t$ is given by:

When the switch $S$ is closed at time $t = 0$,what will be the nature of the graphs for the induced $emf$ $e$ across the inductor $L$ and the current $i$ in the circuit?

Vedclass Test Series

Exam Paper Generator

Online Exam Module