If a wire is moulded in the form of a ring of radius r which encloses a charge q, then the strength of the electric field at the centre of the ring will be
Correct answer: A. 0
- A. 0
- B. 1/2
- C. 2
- D. 3/2
Explanation
When a wire is molded in the form of a ring and carries a charge q, the electric field created by the ring at any point on its axis is given by the equation: E = (k * q) / (r^2 + x^2)^(3/2) Where: E is the electric field strength, k is the electrostatic constant, q is the charge enclosed by the ring, r is the radius of the ring, and x is the distance along the axis from the center of the ring. To find the electric field at the center of the ring, we set x = 0. Plugging this value into the equation, we get: E = (k * q) / (r^2 + 0^2)^(3/2) E = (k * q) / r^3 Since the electric field is inversely proportional to r^3, as r approaches 0, the electric field strength approaches infinity. However, at the exact center of the ring, r is 0, which means the electric field strength becomes undefined or infinite. Therefore, the correct answer is A. The strength of the electric field at the center of the ring is 0 because the formula for the electric field becomes undefined at that point.
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