If a wire is molded in the form of a ring of radius r which encloses a charge q, then the strength of the electric field at the center 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, andx 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^3Since 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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