Two concentric circular coils of 10 turns eac | vedclass

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

Question

(B) The magnetic field at the center of a circular coil is given by $B = \frac{\mu_0 n I}{2r}$.Since the currents are in opposite directions, the net

Vedclass · Accepted Answer

$5 \pi 	imes 10^{-7} \, T$

Vedclass · Answer

(B) The magnetic field at the center of a circular coil is given by $B = \frac{\mu_0 n I}{2r}$.Since the currents are in opposite directions, the net magnetic field is the difference between the fields produced by each coil: $B_{	ext{net}} = |B_1 - B_2|$.Given: $n_1 = n_2 = 10$, $r_1 = 0.2 \, m$, $r_2 = 0.4 \, m$, $I_1 = 0.2 \, A$, $I_2 = 0.3 \, A$.$B_1 = \frac{\mu_0 	imes 10 	imes 0.2}{2 	imes 0.2} = \frac{10 \mu_0}{2} = 5 \mu_0$.$B_2 = \frac{\mu_0 	imes 10 	imes 0.3}{2 	imes 0.4} = \frac{3 \mu_0}{0.8} = 3.75 \mu_0$.$B_{	ext{net}} = 5 \mu_0 - 3.75 \mu_0 = 1.25 \mu_0$.Substituting $\mu_0 = 4 \pi 	imes 10^{-7} \, T \cdot m/A$:$B_{	ext{net}} = 1.25 	imes 4 \pi 	imes 10^{-7} = 5 \pi 	imes 10^{-7} \, T$.

Two concentric circular coils of $10$ turns each are situated in the same plane. Their radii are $20 \, cm$ and $40 \, cm$ and they carry respectively $0.2 \, A$ and $0.3 \, A$ current in opposite directions. The magnetic field at the centre is $(\mu_0 = 4 \pi \times 10^{-7} \, T \cdot m/A)$

Similar Questions

The magnetic field at the center of a current-carrying circular loop is $B_{1}$. The magnetic field at a distance of $\sqrt{3}R$ from the center on its axis is $B_{2}$,where $R$ is the radius of the loop. The value of $B_{1} / B_{2}$ is:

$A$ straight section $PQ$ of a circuit lies along the $X$-axis from $x = -\frac{a}{2}$ to $x = \frac{a}{2}$ and carries a steady current $i$. The magnetic field due to the section $PQ$ at a point $x = a$ on the $X$-axis will be:

$A$ current of $1.5 \, A$ is flowing through an equilateral triangle of side $9 \, cm$. The magnetic field at the centroid of the triangle is (Assume that the current is flowing in the clockwise direction.)

Vedclass Test Series

Exam Paper Generator

Online Exam Module