A uniform magnetic field of `1*5T` is in cylindrical region of radius `10*0cm` with its direction parallel to the axis along east to west. A wire carrying current of `7*0A` in the north to south direction passes through this region. What is the magnitude and direction of the force on the wire if (a) the wire intersects the axes, (b) the wire is turned from N-S to north east-south west direction, (c) the wire in the N-S direction is lowered from the axis by a distance `6*0cm`?

Explanation

(a) 2.1 N vertically downwards (b) 2.1 N vertically downwards (true for any angle between current and direction and B since l sin `theta `remains fixed, equal to 20 cm) (c) 1.68 N vertically downwards