A uniform but time varying magnetic field is present in a circular region of radius R. The magnetic field is perpendicular and into the plane of the field, and is increasing at a constant rate α. There is a straight conducting rod of length 2R placed as shown in the figure. The magnitude of induced emf across the rod is given by πR2αx. Find x.

A uniform but time varying magnetic field is present in a circular reg

1.	A uniform but time varying magnetic field is present in a circular region of radius R. The magnetic field is perpendicular and into the plane of the field, and is increasing at a constant rate α. There is a straight conducting rod of length 2R placed as shown in the figure. The magnitude of induced emf across the rod is given by πR2αx. Find x.
Answer» A uniform but time varying magnetic field is present in a circular region of radius $R$ . The magnetic field is perpendicular and into the plane of the field, and is increasing at a constant rate $α$ . There is a straight conducting rod of length $2 R$ placed as shown in the figure. The magnitude of induced emf across the rod is given by $\frac{π R^{2} α}{x}$ . Find $x$ .

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