Q.6) A 2 amp current is flowing through two different small circular copper coils having radii ratio $1: 2$. The ratio of their respective magnetic moments will be
A) $4: 1$
B) $1: 4$
C) $1: 2$
D) $2: 1$
- Same current $I=2 \mathrm{~A}$ in both loops
- Radii ratio =1:2
Then, area ratio $A_1: A_2=r_1^2: r_2^2=1^2: 2^2=1: 4$
So, magnetic moment ratio:
$$
M_1: M_2=I A_1: I A_2=A_1: A_2=1: 4
$$