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QPage 139: Q2: HC Verma: Concepts of Physics - Volume 2 Gauss's Law Page 139: Q2 Solution: A circular ring of radius r made of a non-conducting material…

A circular ring of radius r made of a non-conducting material is placed with its axis parallel to a uniform electric field. The ring is rotated about a diameter through 180�. Does the flux of the electric field change? If yes, does it decrease or increase?

Step-by-Step Verified Solution

**Answer:** Yes, the flux changes. It increases. **Step-by-Step Explanation:** Initially, the ring's axis is parallel to the electric field, so the normal to the ring is parallel to the field. The flux is Φi=EAcos⁡0�=EA\Phi_i = EA\cos 0� = EA (maximum). When the ring is rotated by 180� about a diameter, the normal reverses direction. The flux becomes Φf=EAcos⁡180�=−EA\Phi_f = EA\cos 180� = -EA. The magnitude of flux remains the same, but the sign reverses. If we consider the magnitude of change, it increases by 2EA2EA .

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