Question

Magnetic induction produced at the centre of a circular loop carrying current is 'B'. The magnetic moment of the loop of radius 'R' is (µ₀ = permeability of free space) ____________.

पर्याय

• `("BR"^3)/(2pimu_0)`

• `(2pi"BR"^3)/(mu_0)`

• `("BR"^2)/(2pimu_0)`

• `(2pi"BR"^2)/(mu_0)`

Answer 1

Magnetic induction produced at the centre of a circular loop carrying current is 'B'. The magnetic moment of the loop of radius 'R' is `(2pi"BR"^3)/(mu_0)`.

Explanation:

m = nIA

For coil, magnetic induction at the centre,

`"B" = (mu_0 "nI")/(2"R")`

`therefore "I" = ("B" xx 2"R")/(mu_0 "n")`

`"For n" = 1, "Area A" = pi"R"^2`

`"m" = ("B" xx 2"R")/(mu_0) xx pi"R"^2`

` = (2pi"BR"^3)/(mu_0)`