Find the magnitude of magnetic moment for the current loop shown below. [Take, R=0.5 m and i =1A]

Explanation

magnetic moment associated with smaller loop with radius (R/2)
`M _(1) = ( i (( pi R ^(2))/( 4)))/( 2 ) `
Magnetic moment associated with large loop
`M _(2) = (i ( pi R ^(2)))/( 2)`
Net megnetic moment of the configuration.
`M = M _(2) - M _(1)`
`= ( i pi R ^(2))/(2) (1 - (1)/(4)) = (3)/(8) ( i pi R ^(2))`
(Directed outward perpendicular)