A non-conducting ring of radius \(0.5\ m\) carries a total charge of \(1.11\times10^{-10}C\) distributed non-uniformly on its circumference producing on its circumference on electric field \(E\), everywhere in space.
The value of line integral \(∫_{l=∞}^{l=0} (-E×dl)\) (\(l=0\) being centre of ring) in volts is
The value of line integral \(∫_{l=∞}^{l=0} (-E×dl)\) (\(l=0\) being centre of ring) in volts is
- +2
- -1
- -2
- Zero
The Correct Option is B
Solution and Explanation
Top Questions on Electrostatics
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Match List - I with List - II:
List - I:
(A) Electric field inside (distance \( r > 0 \) from center) of a uniformly charged spherical shell with surface charge density \( \sigma \), and radius \( R \).
(B) Electric field at distance \( r > 0 \) from a uniformly charged infinite plane sheet with surface charge density \( \sigma \).
(C) Electric field outside (distance \( r > 0 \) from center) of a uniformly charged spherical shell with surface charge density \( \sigma \), and radius \( R \).
(D) Electric field between two oppositely charged infinite plane parallel sheets with uniform surface charge density \( \sigma \).List - II:
(I) \( \frac{\sigma}{\epsilon_0} \)
(II) \( \frac{\sigma}{2\epsilon_0} \)
(III) 0
(IV) \( \frac{\sigma}{\epsilon_0 r^2} \) Choose the correct answer from the options given below:- JEE Main - 2025
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- A point charge causes an electric flux of \( -2 \times 10^4 \, \text{Nm}^2\text{C}^{-1} \) to pass through a spherical Gaussian surface of 8.0 cm radius, centered on the charge. The value of the point charge is:
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