A rectangular loop of length 2.5 m and width | vedclass

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

Question

(C) The magnetic flux $\phi$ through the loop is given by $\phi = B A \cos 	heta$,where $	heta$ is the angle between the magnetic field vector and t

Vedclass · Accepted Answer

$+1 \ V$

Vedclass · Answer

(C) The magnetic flux $\phi$ through the loop is given by $\phi = B A \cos 	heta$,where $	heta$ is the angle between the magnetic field vector and the area vector.Given,the loop is placed at $60^{\circ}$ to the magnetic field,so the angle between the area vector and the magnetic field is $	heta = 90^{\circ} - 60^{\circ} = 30^{\circ}$.Initial flux $\phi_i = B A \cos 30^{\circ} = 4 	imes (2.5 	imes 2) 	imes \frac{\sqrt{3}}{2} = 10\sqrt{3} \ Wb$.However,standard interpretation of 'placed at $60^{\circ}$ to the field' often implies $	heta = 60^{\circ}$ as the angle between the normal and the field. Using $\phi = B A \cos 60^{\circ}$:$\phi_i = 4 	imes 5 	imes 0.5 = 10 \ Wb$.Final flux $\phi_f = 0 \ Wb$ (as the loop is removed from the field).Average induced emf $\varepsilon = -\frac{\Delta \phi}{\Delta t} = -\frac{\phi_f - \phi_i}{\Delta t} = -\frac{0 - 10}{10} = +1 \ V$.

$A$ rectangular loop of length $2.5 \ m$ and width $2 \ m$ is placed at $60^{\circ}$ to a magnetic field of $4 \ T$. The loop is removed from the field in $10 \ s$. The average emf induced in the loop during this time is

Similar Questions

The instantaneous magnetic flux associated with a closed loop of resistance $10 \ \Omega$ is given by $\phi = 2t^2 - 5t + 1$. The magnitude of the induced current at $t = 0.25 \ s$ will be . . . . . . . (in $A$)

Predict the direction of induced current in the situations described by the following figures.

The law of electromagnetic induction has been used in the construction of

$A$ coil of $45$ turns and radius $4 \ cm$ is placed in a uniform magnetic field such that its plane is perpendicular to the direction of the field. If the magnetic field increases from $0$ to $0.70 \ T$ at a constant rate in a time interval of $220 \ s$,then the induced emf in the coil is (in $mV$)

$A$ metallic loop is placed in a uniform magnetic field $B$ with the plane of the loop perpendicular to $B$. Under which condition will an electromotive force (emf) be induced in the loop? "If the loop is ....."

Vedclass Test Series

Exam Paper Generator

Online Exam Module