Question:
Electric field in the region is given by \( \vec{E} = \left(\dfrac{M}{x^3}\right)\hat{i}\). The correct expression for the potential in the region is [assume potential at infinity is zero]:
Electric field in the region is given by \( \vec{E} = \left(\dfrac{M}{x^3}\right)\hat{i}\). The correct expression for the potential in the region is [assume potential at infinity is zero]:
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Electric potential is obtained by integrating electric field with a negative sign.
Updated On: Mar 24, 2026
- \(\dfrac{M}{2x^2}\)
- \(Mx^2\)
- \(\dfrac{M}{3x^4}\)
- \(\dfrac{M}{x^2}\)
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The Correct Option is A
Solution and Explanation
Step 1: Relation between electric field and potential: \[ E = -\frac{dV}{dx} \]
Step 2: \[ -\frac{dV}{dx} = \frac{M}{x^3} \Rightarrow dV = -M x^{-3} dx \]
Step 3: \[ V = \frac{M}{2x^2} \] (using \(V(\infty)=0\))
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