In a coil of area 10 ; cm^2 and 10 turns, a m | vedclass

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

Question

(A) Given: Area $A = 10 \; cm^2 = 10 	imes 10^{-4} \; m^2 = 10^{-3} \; m^2$, Number of turns $N = 10$, Rate of change of magnetic field $dB/dt = 10^8

Vedclass · Accepted Answer

$5$

Vedclass · Answer

(A) Given: Area $A = 10 \; cm^2 = 10 	imes 10^{-4} \; m^2 = 10^{-3} \; m^2$, Number of turns $N = 10$, Rate of change of magnetic field $dB/dt = 10^8 \; G/s = 10^8 	imes 10^{-4} \; T/s = 10^4 \; T/s$, Resistance $R = 20 \; \Omega$.According to Faraday's law, the induced electromotive force $(EMF)$ is $e = -N \frac{d\phi}{dt} = -N A \frac{dB}{dt}$.Magnitude of $EMF$ $|e| = N A \frac{dB}{dt} = 10 	imes 10^{-3} \; m^2 	imes 10^4 \; T/s = 100 \; V$.The induced current $I = \frac{|e|}{R} = \frac{100 \; V}{20 \; \Omega} = 5 \; A$.

In a coil of area $10 \; cm^2$ and $10$ turns, a magnetic field is directed perpendicular to the plane and is changing at the rate of $10^8 \; G/s$. The resistance of the coil is $20 \; \Omega$. The current in the coil will be ......... $A$.

Similar Questions

$A$ bar magnet is allowed to fall vertically through a copper coil placed in a horizontal plane. The magnet falls with a net acceleration:

The magnetic field in a coil of $100$ turns and $40 \text{ cm}^2$ area is increased from $1 \text{ T}$ to $6 \text{ T}$ in $2 \text{ s}$. The magnetic field is perpendicular to the coil. The $e.m.f.$ generated in it is $...... \text{ V}$.

The magnetic flux through a coil perpendicular to its plane and directed into the paper is varying according to the relation $\phi = (2t^2 + 4t + 6) \, mWb$. The $emf$ induced in the loop at $t = 4 \, s$ is ....... $V$.

When a bar magnet is pushed towards the coil,along its axis,as shown in the figure,the galvanometer pointer deflects towards $X$. When this magnet is pulled away from the coil,the galvanometer pointer:

Derive the formula for induced charge and prove that it is independent of the rate of change of magnetic flux.

Vedclass Test Series

Exam Paper Generator

Online Exam Module