A circular loop of a wire and a long straight | vedclass

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

Question

(A) The magnetic field at the centre of a circular loop of radius $R$ carrying current $I_c$ is given by $B_{loop} = \frac{\mu_0 I_c}{2R}$.The magneti

Vedclass · Accepted Answer

$\frac{I_e R}{I_c \pi}$

Vedclass · Answer

(A) The magnetic field at the centre of a circular loop of radius $R$ carrying current $I_c$ is given by $B_{loop} = \frac{\mu_0 I_c}{2R}$.The magnetic field at a distance $H$ from a long straight wire carrying current $I_e$ is given by $B_{straight} = \frac{\mu_0 I_e}{2\pi H}$.For the net magnetic field at the centre of the loop to be zero,the magnitudes of these two magnetic fields must be equal and their directions must be opposite.Equating the magnitudes:$\frac{\mu_0 I_c}{2R} = \frac{\mu_0 I_e}{2\pi H}$Solving for $H$:$\frac{I_c}{R} = \frac{I_e}{\pi H}$$H = \frac{I_e R}{\pi I_c}$

$A$ circular loop of a wire and a long straight wire carry currents $I_c$ and $I_e$,respectively,as shown in the figure. Assuming that these are placed in the same plane,the magnetic field will be zero at the centre of the loop when the separation $H$ is:

Similar Questions

$A$ long straight metal rod of radius $b$ has a very long hole of radius $a$ drilled parallel to the rod axis as shown in the figure. If the rod carries a total current $i$,find the value of magnetic induction on the axis of the hole,where $OC = c$.

Magnetic fields at two points on the axis of a circular coil at a distance of $0.05\, m$ and $0.2\, m$ from the centre are in the ratio $8: 1$. The radius of the coil is .......... $m$.

The magnetic field due to a square loop of side $a$ carrying a current $I$ at its centre is:

$A$ straight wire of finite length carrying current $I$ subtends an angle of $60^{\circ}$ at point $P$ as shown. The magnetic field at $P$ is

$A$ circular coil carrying current $I$ has a radius $r$ and $n$ turns. The magnetic field along the axis of a coil at a distance $x = 2\sqrt{2}r$ from its centre is (where $\mu_0$ is the permeability of free space).

Vedclass Test Series

Exam Paper Generator

Online Exam Module