Suppose an isolated north pole is kept at the | vedclass

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

Question

(A) The magnetic field $B$ produced by the isolated north pole at any point on the circular loop is directed radially outward from the centre.The curr

Vedclass · Accepted Answer

Nearly $2 \pi a i B$ perpendicular to the plane of the wire

Vedclass · Answer

(A) The magnetic field $B$ produced by the isolated north pole at any point on the circular loop is directed radially outward from the centre.The current $i$ flows along the circumference of the loop. For any small element $dl$ of the wire,the magnetic force $dF$ is given by $dF = i(dl 	imes B)$.Since the magnetic field $B$ is radial and the current element $dl$ is tangential to the circle,the angle between $dl$ and $B$ is $90^\circ$ at every point.Thus,the magnitude of the force on a small element is $dF = i dl B \sin(90^\circ) = i B dl$.By Fleming's left-hand rule,the direction of this force is perpendicular to the plane of the loop (directed into or out of the plane depending on the direction of current).Since the force on every element is directed in the same direction (perpendicular to the plane),the total force $F$ is the integral of $dF$ over the entire circumference:$F = \int dF = \int i B dl = i B \int dl = i B (2 \pi a) = 2 \pi a i B$.Therefore,the total force is $2 \pi a i B$ perpendicular to the plane of the wire.

Suppose an isolated north pole is kept at the centre of a circular loop carrying an electric current $i$. The magnetic field due to the north pole at a point on the periphery of the wire is $B$. The radius of the loop is $a$. The force on the wire is

Similar Questions

$A$ wire carrying a current $i$ is placed in a uniform magnetic field in the form of the curve $y = a \sin \left( \frac{\pi x}{L} \right)$,$0 \leq x \leq 2L$. The force acting on the wire is

Two long and parallel straight wires $A$ and $B$ carrying currents of $8.0 \; A$ and $5.0 \; A$ in the same direction are separated by a distance of $4.0 \; cm$. Estimate the force on a $10 \; cm$ section of wire $A$.

Two long wires are hanging freely. They are joined first in parallel and then in series and then are connected with a battery. In both cases,which type of force acts between the two wires?

$A$ conducting wire bent in the form of a parabola $y^2=2x$ carries a current of $4 \ A$ as shown in the figure. This wire is placed in a uniform magnetic field of induction $\vec{B}=+6 \hat{k} \ T$. The magnetic force on the wire is

An isosceles triangular current-carrying loop is placed in a uniform magnetic field $\overrightarrow{B_{o}}$ directed perpendicular to the plane of the loop,as shown in the figure. The net magnetic force on the loop is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module