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

Identify the correct statement.

Two circular coils $1$ and $2$ are made from the same wire. The radius of the first coil is twice that of the second coil. What is the ratio of potential difference applied across them $V_1 / V_2$,so that the magnetic field at their centre is the same?

Two infinite wires carrying opposite electrical currents $I$ and $i$ are placed a distance $x$ apart. $A$ point $P$ at a distance $y$ away from the wire carrying current $i$ is shown in the figure. If the magnetic field is zero at point $P$,then the magnitude of $i$ is

What is the magnetic field at point $P$ in the given figure?

Give similarity between Biot-Savart law and electrostatic law of Coulomb.

Vedclass Test Series

Exam Paper Generator

Online Exam Module