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Please answer the following question with explanation

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Asked by Deepak 4th October 2018, 7:43 PM
Answered by Expert
Answer:
Displacement current = ε0 (dφ/dt) .............(1)
where φ is flux of electric field, ε0 permitivity of free space.
 
Electric field E(t) inside capacitor is applied voltage divided by separation distance d of plates.
 
E(t) = 4 sin(100πt) /d ................... (1)
 
electric flux φ(t) = E(t)×A = [ 4A/d ]sin(100πt) ................(2)
 
Where A is area of capacitor plates
 
displacement current = ε0 (dφ/dt) = [ 4 ε0A/d ]×100π cos(100πt) = 4×10×10-6 × 100π×cos(100πt) = 4π×10-3 × cos(100πt) .................(3)
we used in eqn.(4), capacitance = ε0A/d
 
hence maximum displaced current is 4π mA
Answered by Expert 5th October 2018, 12:22 AM
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