(6) (a) Explain what is meant by a magnetic flux linkage of $1$ Wb.

(6) (b) This is a graph of magnetic flux density through a $240$ turn coil with a cross-sectional area $1.2\times {10}^{-4}{m}^2$ against time. 

(i) Determine the maximum rate of change of flux in the coil.

(6) (b) This is a graph of magnetic flux density through a $240$ turn coil with a cross-sectional area $1.2\times {10}^{-4}{m}^2$ against time. 

(ii) Determine the maximum magnitude of the induced e.m.f. in the coil.

(6) (b) This is a graph of magnetic flux density through a $240$ turn coil with a cross-sectional area $1.2\times {10}^{-4}{m}^2$ against time. 

(iii) Sketch a diagram to show the induced e.m.f. varies with time. Mark values on both the $e.m.f.$ and time axes.

This diagram shows a square coil about to enter a region of uniform magnetic field of magnetic flux density $0.30T.$ The magnetic field is at right angles to the plane of the coil. The coil has $150$ turns and each side is$2.0cm$ in length. The coil moves at a constant speed of $0.50m{s}^{-1}$

(a) (i) Calculate the time taken for the coil to completely enter the region of magnetic field.

This diagram shows a square coil about to enter a region of uniform magnetic field of magnetic flux density $0.30T.$ The magnetic field is at right angles to the plane of the coil. The coil has $150$ turns and each side is$2.0cm$ in length. The coil moves at a constant speed of $0.50m{s}^{-1}$

(a) (ii) Determine the magnetic flux linkage through the coil when it is all within the region of magnetic field 

This diagram shows a square coil about to enter a region of uniform magnetic field of magnetic flux density $0.30T.$ The magnetic field is at right angles to the plane of the coil. The coil has $150$ turns and each side is$2.0cm$ in length. The coil moves at a constant speed of $0.50m{s}^{-1}$

(b) Explain why the magnitude of the induced e.m.f. is constant while the coil is entering the magnetic field.

This diagram shows a square coil about to enter a region of uniform magnetic field of magnetic flux density $0.30T.$ The magnetic field is at right angles to the plane of the coil. The coil has $150$ turns and each side is$2.0cm$ in length. The coil moves at a constant speed of $0.50m{s}^{-1}$

(c) Determine the induced e.m.f. across the ends of the coil. 

This diagram shows a square coil about to enter a region of uniform magnetic field of magnetic flux density $0.30T.$ The magnetic field is at right angles to the plane of the coil. The coil has $150$ turns and each side is$2.0cm$ in length. The coil moves at a constant speed of $0.50m{s}^{-1}$

(d) Explain the induced e.m.f. across the ends of the coil when it is completely within the magnetic field