Four circular loops of radii 1 ; CM,2 ; CM,3 | vedclass

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

Question

(D) The magnetic field $B$ at the center of a circular current-carrying loop is given by the formula $B = \frac{\mu_0 I}{2R}$,where $\mu_0$ is the per

Vedclass · Accepted Answer

$1 \; CM$ radius

Vedclass · Answer

(D) The magnetic field $B$ at the center of a circular current-carrying loop is given by the formula $B = \frac{\mu_0 I}{2R}$,where $\mu_0$ is the permeability of free space,$I$ is the current,and $R$ is the radius of the loop.From this formula,it is clear that the magnetic field $B$ is inversely proportional to the radius $R$ $(B \propto \frac{1}{R})$.Since the current $I$ is the same for all loops,the loop with the smallest radius will have the strongest magnetic field at its center.Comparing the given radii ($1 \; CM$,$2 \; CM$,$3 \; CM$,and $4 \; CM$),the smallest radius is $1 \; CM$.Therefore,the loop with a radius of $1 \; CM$ will have the strongest magnetic field at its center.

Four circular loops of radii $1 \; CM$,$2 \; CM$,$3 \; CM$,and $4 \; CM$ carry the same electric current. At the center of which loop will the magnetic field be the strongest?

Similar Questions

Two long parallel wires are hanging freely. If they are connected to a battery $(i)$ in series and $(ii)$ in parallel,what would be the effect on their positions?

What is the frequency of $DC$ (in $Hz$)?

What is a solenoid? Sketch magnetic field lines produced around a current-carrying solenoid. Mark the region where the field is uniform. Compare its field with that of a bar magnet.

What is meant by overloading of an electrical circuit? Explain two possible causes due to which overloading may occur in a household circuit. Explain one precaution that should be taken to avoid the overloading of a domestic electric circuit.

The magnetic field produced in a straight conducting wire on passing the current through it is ............ .

Vedclass Test Series

Exam Paper Generator

Online Exam Module