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Question: According to Gauss’ Theorem, electric field of an infinitely long straight wire is proportional to...

According to Gauss’ Theorem, electric field of an infinitely long straight wire is proportional to

A

r

B

1r2\frac{1}{r^{2}}

C

1r3\frac{1}{r^{3}}

D

1r\frac{1}{r}

Answer

1r\frac{1}{r}

Explanation

Solution

e=λ2πε0re = \frac{\lambda}{2\pi\varepsilon_{0}r} ⇒ E∝1rE \propto \frac{1}{r}