Two concentric coils of 10 turns each are pla | 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 two coils carry currents in opposite directio

Vedclass · Accepted Answer

$\frac{5}{4} \mu_0$

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 two coils carry currents in opposite directions,the net magnetic field at the center is the difference between the two fields.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_{	ext{net}} = |B_1 - B_2| = \left| \frac{\mu_0 N_1 i_1}{2r_1} - \frac{\mu_0 N_2 i_2}{2r_2} ight|$$B_{	ext{net}} = \frac{\mu_0 	imes 10}{2} \left| \frac{0.2}{0.2} - \frac{0.3}{0.4} ight|$$B_{	ext{net}} = 5 \mu_0 \left| 1 - 0.75 ight|$$B_{	ext{net}} = 5 \mu_0 	imes 0.25 = 5 \mu_0 	imes \frac{1}{4} = \frac{5}{4} \mu_0$.

Two concentric coils of $10$ turns each are placed in the same plane. Their radii are $20 \ cm$ and $40 \ cm$ and carry $0.2 \ A$ and $0.3 \ A$ current respectively in opposite directions. The magnetic induction (in $T$) at the centre is

Similar Questions

If $|a| = 2$,$|b| = 3$ and $a, b$ are mutually perpendicular,then the area of the triangle whose vertices are $0, a + b, a - b$ is

The complete set of values of $x$ for which the function $f(x) = 2 \ln(x-2) - x^2 + 4x + 1$ is increasing is:

During transcription,the holoenzyme $RNA$ polymerase binds to a $DNA$ sequence,and the $DNA$ assumes a saddle-like structure at that point. What is that sequence called?

Pollen grains of a plant,whose $2n = 28$,are cultured to get callus by tissue culture method. What would be the number of chromosomes in the cells of the callus?

The distribution of relative intensity $I(\lambda)$ of blackbody radiation from a solid object versus the wavelength $\lambda$ is shown in the figure. If the Wien displacement law constant is $2.9 \times 10^{-3} \ mK$,what is the approximate temperature of the object in $K$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module