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The magnitude of electric flux through the given square surface is:

The magnitude of electric flux through the given square surface is: Correct Answer 1 N m<span style="position: relative; line-height: 0; vertical-align: baseline; top: -0.5em;font-size:10.5px;">2</span> C<span style="position: relative; line-height: 0; vertical-align: baseline; top: -0.5em;font-size:10.5px;">-1</span>

The correct answer is option 4) i.e. 1 N m2 C-1

CONCEPT:

  • Electric flux: It is the number of electric field lines passing through a given surface area.

The electric flux associated with a surface kept in a uniform electric field is given by:

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ϕ = E.A = EAcosθ 

Where E is the uniform electric field, A is the area of the surface and θ is the angle between E and area vector of A.

CALCULATION:

Given that:

Electric field, E = 200 N/C

Side of the square surface = 10 cm = 0.1 m

Area of the square surface, A = 0.12 = 0.01 m2

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The angle between E and A, θ = 60∘ 

Electric flux, ϕ = EAcosθ = 200 × 0.01 × cos 60∘ = 1 N m2 C-1

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