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Electrostatics

JEE Main level, single correct, medium

216 of 311

Question 216 of 311

Assume that an electric field $\vec{\text{E}}=30{x⁡}^{2}\hat{i⁡}$ exists in space. Then the potential difference ${\text{V}}_{\text{A}}-{\text{V}}_{\text{O}}$ , where VO is the potential at the origin and VA the potential at x = 2 m is :

Show answer and solution

Answer: (C) $-80J{C}^{-1}$

∴dV=-\vec{E}.\vec{dx}

Integrating both sides,

{\int }_{{V}_{O}}^{{V}_{A}}dV=-30{\int }_{0}^{2}{x}^{2}dx

{V}_{A}-{V}_{O}=-30{\left[\dfrac{{x}^{3}}{3}\right]}_{0}^{2}=-80J{C}^{-1}

JEE Main question paper PDF

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JEE Main 2025 Apr 2 Shift 1 question paper

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More Physics practice

JEE Main Physics practice question on Electrostatics (Electric Potential and Potential Energy), with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.

Assume that an electric field E⃗=30x⁡2i⁡^\vec{\text{E}}=30{x⁡}^{2}\hat{i⁡}E=30x⁡2i⁡^ exists in space. Then the potential difference VA−VO{\text{V}}_{\text{A}}-{\text{V}}_{\text{O}}VA​−VO​ , where VO is the potential at the origin and VA the potential at x = 2 m is :

JEE Main question paper PDF

More Physics practice

Assume that an electric field $\vec{\text{E}}=30{x⁡}^{2}\hat{i⁡}$ exists in space. Then the potential difference ${\text{V}}_{\text{A}}-{\text{V}}_{\text{O}}$ , where VO is the potential at the origin and VA the potential at x = 2 m is :