Assume that an electric field $\vec{E} = 30x^{2}\hat{i}$ exists in space. Then the potential difference…

Assume that an electric field $\vec{E} = 30x^{2}\hat{i}$ exists in space. Then the potential difference $V_{A} - V_{O}$, where $V_{O}$ is the potential at the origin and $V_{A}$ the potential at $x = 2$ m is:
  1. 120 J C-1
  2. -120 J C-1
  3. -80 J C-1
  4. 80 J C-1

Solution

∴dV=-E→.dx→

Integrating both sides, 

∫VOVAdV=−30∫02x2dx

VA−VO=−30x3302=−80 J C-1

Asked in: JEE Main 2014 (06 Apr)

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