Answer to Question #128360 in Physics for Jerald P. Beltran

Question #128360
2. Compute for the Electric flux through an oval with a radius of 10m and has an electric field of 170N/C producing an angle θ=60. The electric flux is not parallel with surface and normal line.
1
Expert's answer
2020-08-04T16:00:05-0400

By, definition, for a constant electric field, the flux will be:

Φ=EScosα\Phi = ES\cos\alpha

where E=170N/CE = 170 N/C is the strengh of the electric field, S=πr2S = \pi r^2 is the area of the oval, and α=90°θ=30°\alpha = 90\degree-\theta=30\degree is an angle between the electric field lines and the normal to SS. Hence, obtain:


Φ=EScosα=170π102cos30°46252 NC1m2\Phi = ES\cos\alpha =170\cdot \pi\cdot 10^2 \cos30\degree \approx 46252\space NC^{-1}m^2

Answer. 46252 NC1m246252\space NC^{-1}m^2.


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