A wheel has three spokes and is in a uniform magnetric field perpendicular to its plane, with the axis of rotation of the wheel parallel to the magrietic field. When the wheel rotates with a uniform angular velocity ω , the emf induced between the center and rim of the wheel is 'e' . If another wheel having same radius but with six spokes is kept in the same field and rotated with a uniform angular velocity 'ω/2, the emf induced, between the center and the rim will be

Question

A wheel has three spokes and is in a uniform magnetric field perpendicular to its plane, with the axis of rotation of the wheel parallel to the magrietic field. When the wheel rotates with a uniform angular velocity ω , the emf induced between the center and rim of the wheel is 'e' . If another wheel having same radius but with six spokes is kept in the same field and rotated with a uniform angular velocity 'ω/2, the emf induced, between the center and the rim will be (A) e (B) e/2 (C) 2e (D) e/4

Tardigrade Admin · Accepted Answer

e = B (dA/dt) = (1/2) B ω r2 ∴ In every spokes same mrfdeveloped, and cycle spokes is equivalent To parallel combination of cells.

e

e/2

2e

e/4

e = B dtdA​=21​Bωr2 ∴ In every spokes same mrfdeveloped, and cycle spokes is equivalent To parallel combination of cells.

e = B $\frac{d A}{d t} = \frac{1}{2} B ω r^{2}$
$∴$ In every spokes same mrfdeveloped, and cycle spokes is equivalent To parallel combination of cells.