A closely packed coil having 1000 turns has a | vedclass

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

Question

(D) The magnetic field $B$ at the centre of a circular coil with $N$ turns,radius $R$,and current $I$ is given by the formula:$B = \frac{\mu_0 NI}{2R}

Vedclass · Accepted Answer

$10^{-3}\,T$

Vedclass · Answer

(D) The magnetic field $B$ at the centre of a circular coil with $N$ turns,radius $R$,and current $I$ is given by the formula:$B = \frac{\mu_0 NI}{2R}$Given values:$N = 1000$$I = 1\,A$$R = 62.8\,cm = 0.628\,m = 62.8 	imes 10^{-2}\,m$$\mu_0 = 4\pi 	imes 10^{-7}\,T\cdot m/A$Substituting the values into the formula:$B = \frac{4 	imes 3.14 	imes 10^{-7} 	imes 1000 	imes 1}{2 	imes 62.8 	imes 10^{-2}}$$B = \frac{12.56 	imes 10^{-4}}{125.6 	imes 10^{-2}}$$B = \frac{12.56 	imes 10^{-4}}{1.256}$$B = 10 	imes 10^{-4} = 10^{-3}\,T$Thus,the magnetic field produced at the centre of the coil is $10^{-3}\,T$.

$A$ closely packed coil having $1000$ turns has an average radius of $62.8\,cm$. If the current carried by the wire of the coil is $1\,A$,the value of the magnetic field produced at the centre of the coil will be (permeability of free space $\mu_0 = 4\pi \times 10^{-7}\,T\cdot m/A$) nearly:

Similar Questions

In the previous question,if the current is $i$ and the magnetic field at $D$ has magnitude $B$,

$A$ hairpin-like shape as shown in the figure is made by bending a long current-carrying wire. What is the magnitude of the magnetic field at point $P$,which lies at the center of the semicircle?

$A$ circular coil carrying a certain current produces a magnetic field $B_{0}$ at its centre. The coil is now rewound so as to have $3$ turns and the same current is passed through it. The new magnetic field at the centre is

$A$ particle is moving with velocity $\overrightarrow{v} = \hat{i} + 3\hat{j}$ and it produces an electric field at a point given by $\overrightarrow{E} = 2\hat{k}$. It will produce a magnetic field at that point equal to (all quantities are in $SI$ units):

$A$ wire carrying current $I$ and another carrying $2I$ in the same direction produce a magnetic field $B$ at the midpoint. What will be the field when the $2I$ wire is switched off?

Vedclass Test Series

Exam Paper Generator

Online Exam Module