A coil of resistance 200 Omega is placed in a | vedclass

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

Question

(B) According to Faraday's law of electromagnetic induction,the induced electromotive force $(EMF)$ $\varepsilon$ is given by $\varepsilon = -\frac{d\

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(B) According to Faraday's law of electromagnetic induction,the induced electromotive force $(EMF)$ $\varepsilon$ is given by $\varepsilon = -\frac{d\phi}{dt}$.Given the magnetic flux $\phi = 50t^2 + 4$.Differentiating $\phi$ with respect to time $t$:$\frac{d\phi}{dt} = \frac{d}{dt}(50t^2 + 4) = 100t$.The magnitude of the induced $EMF$ is $|\varepsilon| = |-\frac{d\phi}{dt}| = 100t$.At time $t = 2 \ s$,the induced $EMF$ is $|\varepsilon| = 100(2) = 200 \ V$.The induced current $I$ is given by Ohm's law: $I = \frac{|\varepsilon|}{R}$.Given resistance $R = 200 \ \Omega$.Therefore,$I = \frac{200 \ V}{200 \ \Omega} = 1 \ A$.

$A$ coil of resistance $200 \Omega$ is placed in a magnetic field. If the magnetic flux $\phi$ (in weber) linked with the coil varies with time $t$ (in second) as per the equation $\phi = 50t^2 + 4$,then the current induced in the coil at a time $t = 2 \ s$ is (in $A$)

Similar Questions

State Lenz's law and prove that it is a specific representation of the law of conservation of energy.

$A$ current-carrying solenoid is approaching a conducting loop as shown in the figure. The direction of the induced current as observed by an observer on the other side of the loop will be

$A$ circular coil is placed near a current-carrying conductor, both lying on the plane of the paper. The current is flowing through the conductor in such a way that the induced current in the loop is clockwise, as shown in the figure. The current in the wire is,

Two conducting wire loops are concentric and lie in the same plane. The current in the outer loop is clockwise and increasing with time. The induced current in the inner loop is

Discuss Faraday's experiment of bar magnet and coil for generation of electric current in coil.

Vedclass Test Series

Exam Paper Generator

Online Exam Module