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Q.

A conic surface is placed in a uniform electric field E as shown such that field is perpendicular to the surface on the side AB. The base of the cone is of radius R and height of the cone is h.The angle of cone is θ as shown. Find the magnitude of that flux which enters the cone curved surface from left side. Don't count the outgoing flux. ( θ < 45°)

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a

ER[hcos⁡θ+π(R/2)sin⁡θ]

b

ER[hsin⁡θ+π(R/2)cos⁡θ]

c

ER[hcos⁡θ+πRsin⁡θ]

d

None of these

answer is A.

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Detailed Solution

Flux entering the _cone from side AB will ultimately also pass through area A1 and A2.So, ϕ=EA1cos⁡θ+EA2cos⁡90∘−θ=E122Rhcos⁡θ+π2R2sin⁡θ=ER(hcos⁡θ+π(R/2)sin⁡θ)
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