Verified Solution • 2025–26 Session moderate

QPages 306-313: Q29: HC Verma: Concepts of Physics - Volume 2 Electromagnetic Induction Pages 306-313: Q29 Solution: A 10 m wide spacecraft moves through the interstellar space at…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often mistakenly multiply the speed by the component of velocity perpendicular to the magnetic field, but here the field is perpendicular to the plane of motion, meaning the full velocity vector is perpendicular to $B$. Ensure you verify that $v$ is entirely perpendicular to $B$ before applying $\varepsilon = Blv$ directly without trigonometric factors.

A 10 m wide spacecraft moves through the interstellar space at a speed 3×107 m s−13 \times 10^7 \text{ m s}^{-1}. A magnetic field B=3×10−10 TB = 3 \times 10^{-10} \text{ 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.

Step-by-Step Verified Solution

**Answer:** emf = 0.09 V. **Step-by-Step Explanation:** _ = Blv = 3 _ 10___ _ 10 _ 3 _ 10_ = 0.09 V.

All Questions in this Chapter

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