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Chapter 4: Q65P (page 987)

A dielectric of permittivity 3.5×10-11F/m completely fills the volume between two capacitor plates. For t>0 the electric flux through the dielectric is(8.0×103V.m/s3)t3 .The dielectric is ideal and nonmagnetic; the conduction current in the dielectric is zero. At what time does the displacement current in the dielectric equal 21μA?

Short Answer

Expert verified

Answer

The time is 5.0s.

Step by step solution

01

Definition of Electric flux

The term electric flux may be defined as the rate of flow of electric field from an area.

02

Determine the time

He displacement current can be calculate by the relation

i=DεdΦEdt

The value ofΦE=8.0×103V.m/s3t3 ,ε=3.5×10-11F/mare given than

iD=3.5×10-11F/m8.0×103V.m/s3ddtt3iD=3.5×10-11F/m8.0×103V.m/s3t2iD=8.4×10-7A/s2t2

Now solve for time

t=iD8.4×10-7A/s2t=21×10-6A8.4×10-7A/s2t=5.0s

Hence, the time is 5.0s.

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