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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

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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.

This problem has been solved

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.

This problem has been solved

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