A long solenoid with radius 2 cm carries a current of 2 A. The solenoid is 70 cm long and is composed of 300 turns of wire. Assuming ideal solenoid model, calculate the flux linked with a circular surface if (a) it has a radius of 1cm and is perpendicular to the axis of the solenoid: (i) inside, (ii) outside. (b)it has a radius of 3cm and is perpendicular to the axis of the solenoid with its center lying on the axis of the solenoid. ( c ) it has a radius greater than 2cm and axis of the solenoid subtend an angle of 60∘ with the normal to the area (the center of the circular surface being on the axis of the solenoid). (d) the plane of the circular area is parallel to the axis of the solenoid.