A circular coil of 100 turns, each having an effective area of 0.05 m ^2 , is placed in a uniform magnetic field of 0.4 T . If the plane of the coil makes an angle of 30^ with the direction of the magnetic field, the total magnetic flux linked with the coil is:

Step-by-step solution

The magnetic flux linked with a coil of N turns is given by = NBA , where is the angle between the area vector (normal to the plane) and the magnetic field. Given that the plane of the coil makes an angle of 30^ with the magnetic field, the angle with the normal is: = 90^ - 30^ = 60^ Substituting the given values: N = 100 B = 0.4 T A = 0.05 m ^2 = 100 0.4 0.05 60^ = 2 0.5 = 1.0 Wb Answer: 1.0 Wb