Question

A circular loop A of radius R carries a current I. Another circular loop B of radius r`(= R/20)` is placed concentrically in the plane of A. The magnetic flux linked with loop B is proportional to ______.

Options

• R

• `sqrtR`

• `R^(3/2)`

• R²

Answer 1

A circular loop A of radius R carries a current I. Another circular loop B of radius r`(= R/20)` is placed concentrically in the plane of A. The magnetic flux linked with loop B is proportional to R.

Explanation:

Magnetic flux linked with Loop B,

`phi = (l_10I)/(2R) xx pi(R/20)^2`

⇒ `phi = (l_10I)/(2R) xx pi R^2/400`

⇒ Φ ∝ R