A uniform magnetic field of induction B is confined in a cylindrical region of the radius R . If the field is increasing at a constant rate of d B d t = α T s - 1 , then the intensity of the electric field induced at a point P distant r from the axis as shown in the figure is equal to

Question

A uniform magnetic field of induction B is confined in a cylindrical region of the radius R . If the field is increasing at a constant rate of d B d t = α T s - 1 , then the intensity of the electric field induced at a point P distant r from the axis as shown in the figure is equal to, 1 8 r, 1 8 r α, 1 2 r α, r

MARKS App · Accepted Answer

Magnetic flux linked with circular section of radius r of the cylinder , ϕ = π r 2 B . Due to this induced emf, an electric field E is established which is equal to potential difference per unit length. E = e 2 π r = π r 2 α 2 π r E = 1 2 r α

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