Two conducting circular loops of radii R_1 an | vedclass

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

Question

(D) The magnetic field $B$ produced by the larger loop (radius $R_1$) at its centre is given by $B = \frac{\mu_0 i_1}{2 R_1}$.Since $R_1 >> R_2$,we ca

Vedclass · Accepted Answer

$\frac{R_2^2}{R_1}$

Vedclass · Answer

(D) The magnetic field $B$ produced by the larger loop (radius $R_1$) at its centre is given by $B = \frac{\mu_0 i_1}{2 R_1}$.Since $R_1 >> R_2$,we can assume this magnetic field is approximately uniform over the area of the smaller loop (radius $R_2$).The magnetic flux $\phi_2$ passing through the smaller loop is $\phi_2 = B \cdot A_2$,where $A_2 = \pi R_2^2$ is the area of the smaller loop.Substituting the values,we get $\phi_2 = \left( \frac{\mu_0 i_1}{2 R_1} \right) (\pi R_2^2)$.By definition,the mutual inductance $M$ is given by $M = \frac{\phi_2}{i_1}$.Therefore,$M = \frac{\mu_0 \pi R_2^2}{2 R_1}$.From this expression,it is clear that $M \propto \frac{R_2^2}{R_1}$.

Two conducting circular loops of radii $R_1$ and $R_2$ are placed in the same plane with their centres coinciding. If $R_1 >> R_2$,the mutual inductance $M$ between them will be directly proportional to

Similar Questions

The variation of radiant energy emitted by the sun, the filament of a tungsten lamp, and a welding arc as a function of its wavelength is shown in the figure. Which of the following options is the correct match?

$\int_0^2 \frac{2x-2}{2x-x^2} dx$ is equal to

Six faces of an unbiased die are numbered with $2, 3, 5, 7, 11$ and $13$. If two such dice are thrown,then the probability that the sum on the uppermost faces of the dice is an odd number is

The half-life of a radioactive substance is $20 \text{ minutes}$. The time interval between $20\%$ and $80\%$ decay is ........ $\text{minutes}$.

Which of the following is a transparent tissue?

Vedclass Test Series

Exam Paper Generator

Online Exam Module