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In Fig. 23-32, a butterfly net is in a uniform electric field of magnitude E=3.0mN/C. The rim, a circle of radiusa=11cm, is aligned perpendicular to the field. The net contains no net charge. Find the electric flux through the netting.

Short Answer

Expert verified

The electric flux through the netting is -1.1×10-4N.m2/C.

Step by step solution

01

The given data

  1. The magnitude of the electric field,E=3.0m.N/C
  2. Radius of the circle,a=11cm1m100cm=0.11m
  3. The net contains no charge.
02

Understanding the concept of electric flux

Using the concept of Gauss flux theorem through an enclosed surface, we can get the flux value of the electric field through a circular surface.

Formula:

The electric flux through a circular surface, Ï•=Ï€a2E (1)

03

Calculation of the electric flux

The flux through the flat surface encircled by the rim is given using equation (1) and thus, the flux through the netting is given as:

ϕ'=-ϕ=-π(0.11m)2(3.0×10-3N/C)=-1.1×10-4N.m2/C

Hence, the value of the flux is -1.1×10-4N.m2/C.

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