On connecting a battery to the two corners of | vedclass

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

Question

(A) Consider a square frame $ABCD$ with side length $a$. When a battery is connected across a diagonal (say $A$ and $C$),the current $I$ entering at $

Vedclass · Accepted Answer

Zero

Vedclass · Answer

(A) Consider a square frame $ABCD$ with side length $a$. When a battery is connected across a diagonal (say $A$ and $C$),the current $I$ entering at $A$ splits into two equal parts,$I/2$,flowing through paths $ABC$ and $ADC$.For the path $ABC$,the current $I/2$ flows through segments $AB$ and $BC$. By the Biot-Savart Law,the magnetic field produced by segment $AB$ at the center $O$ is directed into the plane of the paper. Similarly,the field due to segment $BC$ is also directed into the plane.For the path $ADC$,the current $I/2$ flows through segments $AD$ and $DC$. The magnetic field produced by segment $AD$ at the center $O$ is directed out of the plane of the paper. Similarly,the field due to segment $DC$ is also directed out of the plane.Since the segments are symmetric and the currents are equal,the magnetic field due to $AB$ and $BC$ (inward) is exactly cancelled by the magnetic field due to $AD$ and $DC$ (outward).Therefore,the net magnetic field at the center of the square is $0$.

On connecting a battery to the two corners of a diagonal of a square conductor frame of side $a$,the magnitude of the magnetic field at the centre will be:

Similar Questions

$A$ non-planar loop of conducting wire carrying a current $I$ is placed as shown in the figure. Each of the straight sections of the loop is of length $2a$. The magnetic field due to this loop at the point $P(a, 0, a)$ points in the direction:

What will be the resultant magnetic field at the origin due to four infinite length wires? If each wire produces a magnetic field '$B$' at the origin.

At what distance from wire '$B$' does the magnetic field become zero?

An infinite number of straight wires,each carrying current $I$,are equally placed as shown in the figure. Adjacent wires have current in opposite directions. The net magnetic field at point $P$ is:

In the following figure, the magnitude of the magnetic field at point '$O$' will be

Vedclass Test Series

Exam Paper Generator

Online Exam Module