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Question

Question: An infinite conducting sheet of charge has surface charge density s. The distance between two points...

An infinite conducting sheet of charge has surface charge density s. The distance between two points is r. The potential difference (vA – vB) between these points is –

A

σr2ε0\frac{\sigma r}{2\varepsilon_{0}}

B

σrε0\frac{\sigma r}{\varepsilon_{0}}

C

σε0r\frac{\sigma}{\varepsilon_{0}r}

D

σ2ε0r\frac{\sigma}{2\varepsilon_{0}r}

Answer

σr2ε0\frac{\sigma r}{2\varepsilon_{0}}

Explanation

Solution

VA – VB = abEdr\int _ { \mathrm { a } } ^ { \mathrm { b } } \mathrm { E } \cdot \mathrm { dr } = E (b – a) =