   Chapter 15.8, Problem 15.7QQ

Chapter
Section
Textbook Problem

Calculate the magnitude of the flux of a constant electric field of 5.00 N/C in the z-direction through a rectangle with area 4.00 m2 in the xy-plane. (a) 0 (b) 10.0 N · m2/C (c) 20.0 N · m2/C (d) More information is needed

To determine
The magnitude of flux.

Explanation

Given info: The electric field has a magnitude of 5.00 N/C and is along z direction. The area of the rectangle is 4.00m2 .

The magnitude of flux is given by,

ϕE=EAcosθ (I)

• E is the electric field.
• A is the area vector.
• θ is the angle between E and A.

Conclusion:

The rectangle is in the x-y plane and the electric field is in the z direction. The area vector point perpendicular to the x-y plane along the z direction. Therefore, θ=0 .

Substitute 5.00 N/C for E, 4.00m2 for A and 0 for θ in Equation (I).

ϕE=(5

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