Question

There are two circular coils of equal areas and equal magnetic flux through them. The resistances of the coils are in the ratio 1:2. If the magnetic flux through the coils is switched off, then the ratio of the charges flown through the coils will be

2:1

1:3

4:1

1:6​

Answer 1

Answer:

option A is correct. It'll be in inverse ratio

Answer 2

Answer:

The ratio of the charges flowing through the coils will be 2:1.

Explanation:

We will use following relation to solve the question,

$Q=\frac{\phi}{R}$       (1)

Where,

Q=charge flowing through the circular coils

Ф=flux through the coil

R=resistance of the coils

From the question we have,

$\frac{R_1}{R_2} =\frac{1}{2}$          (2)

As per the question the equation (1) can be written as,

$\frac{Q_1}{Q_2}=\frac{R_2}{R_1}$        (3)        (∵equal magnetic flux)

By using equation (2) in equation (3) we get;

$\frac{Q_1}{Q_2}=\frac{2}{1}$

Hence, the ratio of the charges flowing through the coils will be 2:1.