An electric field of 5 N/C makes an angle of 30° with the surface of 0.3m. Find the electric flux that passes through the surface.Group of answer choices1.30 N/C0.390 N39 N.m^2/C0.390 N.m^2/C
Question
An electric field of 5 N/C makes an angle of 30° with the surface of 0.3m. Find the electric flux that passes through the surface.Group of answer choices1.30 N/C0.390 N39 N.m^2/C0.390 N.m^2/C
Solution 1
The electric flux (Φ) through a surface is given by the equation:
Φ = E * A * cos(θ)
where: E is the electric field strength, A is the area of the surface, and θ is the angle between the electric field direction and the normal (perpendicular) to the surface.
Given: E = 5 N/C, A = 0.3 m², and θ = 30°.
We can substitute these values into the equation:
Φ = 5 N/C * 0.3 m² * cos(30°)
First, calculate the cosine of 30 degrees. In decimal form, cos(30°) is approximately 0.866.
So, Φ = 5 N/C * 0.3 m² * 0.866
Finally, calculate the product of these three numbers to find the electric flux:
Φ = 1.30 N.m²/C
So, the electric flux that passes through the surface is 1.30 N.m²/C.
Solution 2
The electric flux (Φ) through a surface is given by the equation:
Φ = E * A * cos(θ)
where: E is the electric field strength, A is the area of the surface, and θ is the angle between the electric field direction and the normal (perpendicular) to the surface.
Given: E = 5 N/C, A = 0.3 m², and θ = 30°.
We can substitute these values into the equation:
Φ = 5 N/C * 0.3 m² * cos(30°)
First, calculate the cosine of 30 degrees. In decimal form, cos(30°) is approximately 0.866.
So, Φ = 5 N/C * 0.3 m² * 0.866
Finally, calculate the product of these three numbers:
Φ = 1.3 N.m²/C
So, the electric flux that passes through the surface is 1.3 N.m²/C. None of the provided answer choices match this result. There may be a mistake in the question or the answer choices.
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