Question

В 8. A uniform electric field of 80 N/C exists along the x-axis. The potential difference VB -VA between the points A (6m, 4m) and B (12 m, 7 m) will be (a) 480 V (b) 240 V (c)-480 V (d) - 240 V​

Answer 1

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Answer 2

Final Answer: The correct answer is 480V.

Explanation: A uniform electric field of 80N/C exists along the x-axis.

Eх = 80i N/C

Eу = 0

We know that,

Eх = $-\frac{dV}{dx}$

Eу = - $\frac{dV}{dy}$

$0 = \frac{dV}{dy}\\dV = 0\\V = constant$

Eхdx = dV

∫₄¹⁰(Ex).dx = ∫dv

∫¹²₆(80).dx = ∫dV

[80x]¹²₆ = VB - VA

80( 12 - 6) = VB - VA

80 ×6 = VB - VA

VB - VA = 480V

So, option (a) is correct answer.