A circular coil of wire consisting of 100 tur | vedclass

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

Question

Number of turns on the circular coil, $n=100$

Radius of each turn, $r=8.0 \,cm =0.08 \,m$

Current flowing in the coil, $I=0.4\, A$

Magnitude

Vedclass · Accepted Answer

$3.14 	imes 10^{-4}\; T$

Vedclass · Answer

Number of turns on the circular coil, $n=100$

Radius of each turn, $r=8.0 \,cm =0.08 \,m$

Current flowing in the coil, $I=0.4\, A$

Magnitude of the magnetic field at the centre of the coil is given by the relation

$|B|=\frac{\mu_{0}}{4 \pi} \frac{2 \pi n I}{r}$

$\mu_{0}=$ Permeability of free space $=4 \pi 	imes 10^{-7} \,T\,m\, A ^{-1}$

$|B|=\frac{4 \pi 	imes 10^{-7}}{4 \pi} 	imes \frac{2 \pi 	imes 100 	imes 0.4}{0.08}$

$=3.14 	imes 10^{-4}\, T$

Hence, the magnitude of the magnetic field is $3.14 	imes 10^{-4}\; T$

A circular coil of wire consisting of $100$ turns, each of radius $8.0\; cm$ carries a current of $0.40\, A$. What is the magnitude of the magnetic field $B$ at the centre of the coil?

Similar Questions

A uniform circular wire loop is connected to the terminals of a battery. The magnetic field induction at the centre due to $A B C$ portion of the wire will be (length of $A B C=l_1$, length of $A D C=l_2$ )

In the figure, find out the magnetic field at $B$ (Given $I =2.5 \;A,r =5\, cm )$

Unit of magnetic permeability is

Which of the following statements regarding magnetic lines of force is correct?

Magnitude of magnetic field (in $SI$ units) at the centre of a hexagonal shape coil of side $10\, cm$, $50$ turns and carrying current $I$ (Ampere) in units of $\frac{\mu_{0} I}{\pi}$ is