A square loop of side 10 ; cm and resistance | vedclass

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

Question

(A) The area of the square loop is $A = (10 \; cm)^2 = 100 \; cm^2 = 10^{-2} \; m^2$.The angle $	heta$ between the area vector (perpendicular to the

Vedclass · Accepted Answer

$1.0$ mV,$2$ mA

Vedclass · Answer

(A) The area of the square loop is $A = (10 \; cm)^2 = 100 \; cm^2 = 10^{-2} \; m^2$.The angle $	heta$ between the area vector (perpendicular to the east-west plane) and the magnetic field (in the north-east direction) is $45^{\circ}$.The initial magnetic flux is $\phi_i = B A \cos 	heta = 0.10 	imes 10^{-2} 	imes \cos(45^{\circ}) = \frac{10^{-3}}{\sqrt{2}} \; Wb$.The final magnetic flux is $\phi_f = 0 \; Wb$.The change in flux is $\Delta \phi = |\phi_f - \phi_i| = \frac{10^{-3}}{\sqrt{2}} \; Wb$.The magnitude of the induced $emf$ is $\varepsilon = \frac{|\Delta \phi|}{\Delta t} = \frac{10^{-3}}{\sqrt{2} 	imes 0.70} \approx 1.01 	imes 10^{-3} \; V \approx 1.0 \; mV$.The magnitude of the induced current is $I = \frac{\varepsilon}{R} = \frac{1.01 	imes 10^{-3} \; V}{0.5 \; \Omega} \approx 2.02 	imes 10^{-3} \; A \approx 2.0 \; mA$.

Similar Questions

On which factor does the induced charge depend?

$A$ circular loop of radius $r$ is moved away from a current-carrying wire. The induced current in the circular loop will be:

$A$ rectangular coil of $20$ turns and an area of cross-section $25 \, cm^2$ has a resistance of $100 \, \Omega$. If a magnetic field which is perpendicular to the plane of the coil changes at the rate of $1000 \, T/s$,the current in the coil is $....... \, A$.

In the arrangement shown in the given figure,the current from $A$ to $B$ is increasing in magnitude. The induced current in the loop will

Magnetic flux in a circuit containing a coil of resistance $2\,\Omega$ changes from $2.0\,Wb$ to $10\,Wb$ in $0.2\,s$. The charge passed through the coil in this time is......$C$

Vedclass Test Series

Exam Paper Generator

Online Exam Module