CBSE Class 12 Physics 2017 Delhi Set 1 Paper

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Question : 6
Total: 26
SECTION -B

How does Ampere-Maxwell law explain the flow of current through a capacitor when it is being charged by a battery? Write the expression for the displacement current in terms of the rate of change of electric flux.
Solution:  
When a battery is attached to a capacitor, conduction current flow in wire outside capacitor. In the capacitor the Electric flux ϕE=EA
Where, E=
Q
ε0A
,Q=ε0EA

I=
dQ
dt
=ε0
dϕE
dt

This maintains the current in the capacitor.

Amperes-Maxwell law states that displacement current comes into existence due to rate of change of electric flux w.r.t. time.

Displacement current Id=ε0
dϕE
dt
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