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MHT CET 2023 (10 May, Shift 2) · Electric Potential & Equipotentials

Electric Potential & Equipotentials question from MHT CET 2023 (10 May, Shift 2)

Q67MHT CET 2023 · 10 MAY · SHIFT 2Medium

Electric Potential & Equipotentials

Assume that an electric field E⃗=30x2i^\vec{E} = 30x^{2}\hat{i} exists in space. If 'V0V_0' is the potential at the origin and 'VAV_A' is the potential at x=2 mx = 2\text{ m}, then the potential difference (VA−V0)(V_A - V_0) is

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Answer: (a)

  1. VA−V0=−∫02E dx=−∫0230x2 dxV_A - V_0 = -\int_0^2 E\,dx = -\int_0^2 30x^2\,dx
  2. =−[10x3]02=−80= -\left[10x^3\right]_0^2 = -80
  3. So the answer is (a) −80-80 (the unit should be V or J/C; 'J' in the options is a misprint).
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