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Question

A small hole is cut into a charged hollow conductor of arbitrary shape as shown. If the local surface charge density near the hole is $$\sigma ,$$ then $$\vec { E }$$ inside the hole is

A
$$\dfrac { \sigma } { 2 \varepsilon _ { 0 } }$$ along outward normal
B
$$\dfrac { \sigma } { \varepsilon _ { 0 } }$$ along outward normal
C
$$\dfrac { \sigma } { \varepsilon _ { 0 } }$$ along inward normal
D
$$\dfrac { \sigma } { 2 \varepsilon _ { 0 } }$$ along inward normal
Solution
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Correct option is A. $$\dfrac { \sigma } { \varepsilon _ { 0 } }$$ along outward normal

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