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

Motional emf is 0.09 V

Explanation:

Given, L = 10 m

v = $3 \times 10^7$ m/s

B = $3 \times 10^-^1^0$ T

Now,  

Motional EMF = $B\times V \times L$

                        = $3 \times 10^7 \times 3 \times 10^-^1^0 \times 10$

                        = $9 \times 10^-^2$

                        = 0.09 V