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[hcosθ+π(R/2)sinθ]
b
ER[hsinθ+π(R/2)cosθ]
c
ER[hcosθ+πRsinθ]
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=EA1cosθ+EA2cos90∘−θ=E122Rhcosθ+π2R2sinθ=ER(hcosθ+π(R/2)sinθ)