Two circular plates of radius 0.1m are used to form a parallel plate capacitor if displacement current between the plates is to 2π ampere,then find magnetic field produced by displacement current 4 cm from the axis of the plates.
Answers
Answer:
Explanation:
Two circular plates of radius 0.1 m are used to form a parallel plate capacitor. If displacement current is 2π A,then find the mag. Field produced by displacement current at 4cm from the axis
Concept
Magnetic Field is the region around a magnetic field or mobile charging system in which the magnetic field works.
The object changes its position is known as displacement.
Given
The radius given is 0.1m
The displacement current between the plates is 2π
Find
We need to find magnetic field produced by displacement current
Solution
We know that the current density is
J= I/A
J=2π / π(0.1)^2
J = 2*(10)^2
J = 200A/m^2
Now draw a loop on middle of the radius is 4cm
i(enclosed) = J*(0.04) = unot*1
200*π*16*10^-4
= 1A
∫B.dl = u.ienclosed
B*2π*0.04 = unot*i
B= 2.4π*10^-7*1/2π84810^-2
B= 0.5*10^-5
B=5*10^-6
Hence the magnetic field is 5*10^-6
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