Question

A 10 m wide spacecraft moves through the interstellar space at a speed 3 × 10⁷ m s⁻¹. A magnetic field B = 3 × 10⁻¹⁰ T exists in the space in a direction perpendicular to the plane of motion. Treating the spacecraft as a conductor, calculate the emf induced across its width.

Answer 1

Given:-

l = 10 m

v = 3 × 10⁷ m/s

B = 3 × 10⁻¹⁰ T

Now,

Motional emf = Bvl

= (3 × 10⁻¹⁰ ) × (3 × 10⁷ ) × (10)

= 9 × 10⁻²

= 0.09 V