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Physics-Electric Field

NEET Physics Electric Field MCQ Question

Type: MCQ-numerical-Medium-Class 12

A long, straight wire carries a uniform linear charge density λ\lambda. Using Gauss's law, what is the expression for the magnitude of the electric field EE at a distance rr from the wire?

A

E=λ2πε0rE = \frac{\lambda}{2\pi \varepsilon_0 r}

B

E=λ4πε0r2E = \frac{\lambda}{4\pi \varepsilon_0 r^2}

C

E=λε0r2E = \frac{\lambda}{\varepsilon_0 r^2}

D

E=λπε0rE = \frac{\lambda}{\pi \varepsilon_0 r}

Correct Answer

Option A

Detailed Explanation

Gauss's law states that the electric field EE for a line charge is given by E=λ2πε0rE = \frac{\lambda}{2\pi \varepsilon_0 r}. This is derived by considering the flux through a cylindrical Gaussian surface.

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