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Chapter 21: Q6P (page 897)

Figure 21.61 shows disk shaped region of radius of 2 cm on which there is a uniform electric field of magnitude 300 V/m at an angle of 300 to the plane of the disk. Assume that points upward in +y direction. Calculate the electric flux on the disk, and include the correct units.

Short Answer

Expert verified

The electric flux for plane is 0.33V.m.

Step by step solution

01

Identification of given data

The radius of disk shaped region isr=2cm

The magnitude of uniform electric field is E=300V/m.

The angle of electric field with plane of disk isθ=30° .

02

Conceptual Explanation

The electric flux is calculated by the product of magnitude of electric field with the horizontal component of the surface area of disk.

03

Determination of electric flux of the disk

The surface area of the disk is given as:

A=πr2

Substitute all the values in the above equation.

A=π2cm1m100cm2A=1.26×10-3m2

The electric flux for plane is given as:

ϕ=EAcosθ

Substitute all the values in the above equation.

ϕ=300V/m1.26×10-3m2cos30°ϕ=0.33V·m

Therefore, the electric flux for plane is 0.33V.m.

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