A solenoid of radius R and length L has a cur | vedclass

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

Question

(B) The magnetic field inside a long solenoid is given by $B = \mu_0 n I$,where $n$ is the number of turns per unit length.Substituting $I = I_0 \sin

Vedclass · Accepted Answer

$\left( \frac{\mu_0 n I_0 \omega r}{2} \right) \cos \omega t$

Vedclass · Answer

(B) The magnetic field inside a long solenoid is given by $B = \mu_0 n I$,where $n$ is the number of turns per unit length.Substituting $I = I_0 \sin \omega t$,we get $B = \mu_0 n I_0 \sin \omega t$.According to Faraday's Law of Induction,the induced electric field $E$ along a circular path of radius $r$ inside the solenoid is given by $\oint E \cdot dl = -\frac{d\Phi_B}{dt}$.For a circular path of radius $r$ $(r Applying the integral form: $E(2 \pi r) = \frac{d}{dt} (\mu_0 n I_0 \pi r^2 \sin \omega t)$.$E(2 \pi r) = \mu_0 n I_0 \pi r^2 \omega \cos \omega t$.Solving for $E$,we get $E = \frac{\mu_0 n I_0 \omega r}{2} \cos \omega t$.

$A$ solenoid of radius $R$ and length $L$ has a current $I = I_0 \sin \omega t$. The value of the induced electric field at a distance $r$ inside the solenoid is:

Similar Questions

$A$ square loop of side $2 \text{ cm}$ is placed in a time-varying magnetic field with magnitude $B = 0.4 \sin(300t) \text{ T}$. The normal to the plane of the loop makes an angle of $60^{\circ}$ with the field. The maximum induced emf produced in the loop is . . . . . . $\text{mV}$.

$A$ coil is placed in a time-varying magnetic field. The power dissipated due to current induced in the coil is $P_1$. If the number of turns is doubled and the radius of the wire is halved,the power dissipated is $P_2$. Then $P_1: P_2$ is

The radius of the circular conducting loop shown in the figure is $R.$ The magnetic field is decreasing at a constant rate $\alpha.$ The resistance per unit length of the loop is $r.$ Find the current in the wire $AB,$ where $AB$ is one of the diameters.

The alternating e.m.f. induced in the secondary coil of a transformer is mainly due to

Is relative motion an absolute condition for inducing $emf$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module