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.

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Solution

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

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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.

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

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.

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