1.

A circular coil of radius `R` carries an electric current. The magnetic field due to the coil at a point on the axis of the coil located at a distance `r` from the centre of the coil, such that `r gtgt R`, varies asA. `(1)/(r)`B. `(1)/(r^(3))`C. `(1)/(r^(2))`D. `(1)/(r^(3//2))`

Answer» Correct Answer - B
The magnetic field due to a cicular coil of radius `R` at a point on the axis of the coil located at a distance `r` from the centre of the coil,
`B = (mu_(0))/(4pi) (2pi I R^(2))/((R^(2) + r^(2))^(3//2))`
Given `r gtgt R` then we have, after neglecting `R`,
`B = (mu_(0))/(4pi) (2pi i R^(2))/(r^(3))`
Also area `= pi R^(2)`


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