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quaticle
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Homework Statement
A sphere of radius R = 1.40 m surrounds a particle with charge Q = 42.0 μC located at its center as shown in the figure below. Find the electric flux through a circular cap of half-angle θ = 28.0°.
Homework Equations
Φ = ∫E⋅dA
E = (kq)/r2
A = πa2 where a = rsin(θ) --> from Archimedes's formula for area of a spherical cap [excluding the h term since it is along the surface]).
The Attempt at a Solution
First thing I did was calculate the electric field, using E = (kq)/r2 obtaining 1.928x105 N/C. Then using A = πa2 I found the area to be 1.357 m2. Finally using the flux equation I obtained Φ = 2.62x105 Nm2/C. This answer is incorrect and the correct answer is given as 2.78x105 Nm2/C. I am unsure my method is correct. Any suggestions?