A spacecraft of width 10 m travels through interstellar space at a speed of 3 10^7 m s ⁻¹ . A magnetic field B = 3 10⁻¹⁰ T is present in a direction perpendicular to the plane of motion. Assuming the spacecraft acts as a conductor, determin

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A spacecraft of width 10 m travels through interstellar space at a speed of 3 10^7 m s ⁻¹ . A magnetic field B = 3 10⁻¹⁰ T is present in a direction perpendicular to the plane of motion. Assuming the spacecraft acts as a conductor, determine the induced emf across its width.

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Correct answer: C. 0.09 V

Given: Speed of the spacecraft, v = 3 10^7 m s ⁻¹ Width of the spacecraft, l = 10 m Magnetic field, B = 3 10⁻¹⁰ T The induced emf across the width of the spacecraft is given by the formula for motional emf: e = Bvl Substituting the given values: e = (3 10⁻¹⁰) (3 10^7) 10 e = 9 10⁻² V e = 0.09 V

A spacecraft of width 10 m travels through interstellar space at a speed of 3 10^7 m s ⁻¹ . A magnetic field B = 3 10⁻¹⁰ T is present in a direction perpendicular to the plane of motion. Assuming the spacecraft acts as a conductor, determine the induced emf across its width.

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