What is the force experienced by a charg

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Target Exam

CUET

Subject

Physics

Chapter

Electrostatic Potential and Capacitance

Question:

Electric potential at any point x, y, z in the space is given according to the following relation:

V= 4x²- 3x

What is the force experienced by a charge particle q at point (1, 1, 1)?

Options:

-5q i

11 q i

5q i - j

11q i + j

Correct Answer:

-5q i

Explanation:

F = q * E

E = -$\frac{dV}{dx}$ = -$\frac{d}{dx}$ 4x² - 3x = -(8x - 3) i

|E|_(1,1,1) = - 5 i

$\vec{F} = -5q\hat{i}$