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Find the total flux due to charge q associated with the given hemispherical surface

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$(a) \frac{q}{2 \in_{0}} (b) \frac{q}{\in_{0}} (c) 0, (d) \frac{q}{\in_{0}} (e) 0$

(a) 0, $(b) \frac{q}{2 ε_{0}}, (c) 0, (d) \frac{q}{ε_{0}}, (e) \frac{q}{ε_{0}}$

$(a) \frac{q}{2 \in_{0}} (b) 0, (c) \frac{q}{\in_{0}} (d) 0, (e) 0$

$(a) 0, (b) \frac{q}{2 \in_{0}}$ $(c) 0, (d) \frac{q}{ϵ_{0}}$ $(e) 0$

answer is A.

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Detailed Solution

Fig (a) , half flux will be crossing the hemisphere.

Fig (c), full flux will be crossing the hemisphere.

Fig (b), (d), (e), charge is outside the hemisphere. So, net flux crossing the hemisphere is zero.

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