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QPage 338: Q5: HC Verma: Concepts of Physics - Volume 2 Electromagnetic Waves Page 338: Q5 Solution: A capacitor is connected to an alternating-current source. Is…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often assume a magnetic field requires a conduction current and therefore claim none exists between capacitor plates; they overlook Maxwell’s displacement current term ($varepsilon_0\partialmathbf{E}/partial t$) in Ampère’s law. Remember to include the changing electric field when applying the Ampère‑Maxwell equation, which guarantees a magnetic field inside the capacitor during AC operation.

A capacitor is connected to an alternating-current source. Is there a magnetic field between the plates?

Step-by-Step Verified Solution

**Answer:** Yes, there is a magnetic field between the plates. **Step-by-Step Explanation:** When a capacitor is connected to an AC source, the charge on the plates changes continuously with time. This changing charge produces a time-varying electric field between the plates. According to Maxwell's displacement current concept, a changing electric field produces a magnetic field. Hence, there is a magnetic field between the plates of the capacitor [citation:1][citation:2].

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