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QPages 303-304: Q1: HC Verma: Concepts of Physics - Volume 2 Electromagnetic Induction Pages 303-304: Q1 Solution: A metallic loop is placed in a nonuniform magnetic field. Will…
⚠️ Common Exam Traps & Conceptual Pitfalls
Students often assume that a non‑uniform magnetic field alone produces an induced emf, overlooking Faraday’s law which requires a *change* in magnetic flux—either the field must vary with time or the loop must move relative to the field. Remember: a stationary loop in a static, spatially varying field has constant flux, so no emf is generated.
A metallic loop is placed in a nonuniform magnetic field. Will an emf be induced in the loop?
Step-by-Step Verified Solution
**Answer:** Yes, an emf will be induced in the loop if the magnetic flux through it changes.
**Step-by-Step Explanation:**
A nonuniform magnetic field means the field varies from point to point. If the loop moves through this field, or if the field itself changes with time, the magnetic flux through the loop changes. According to Faraday's law, a changing magnetic flux induces an emf. However, if the loop is stationary in a nonuniform but time-independent field, there is no change in flux, so no emf is induced.
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