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How does Ampere-Maxwell law explain the ...

How does Ampere-Maxwell law explain the flow the 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.

Text Solution

Verified by Experts

Using concept displacement current.
According the Ampere -Maxwell Law, the line integral of magnetic field over a closed loop is `mu_(o)` times the sum of conduction urrent and displacement current. Mag. Flux exists between two plates of capacitor which was assumed by Ampere.
`phi vec(B). vec(dl) = mu_(o) (I_(C ) + I_(D))`
Expression for Displacement Current,
`I_(D) = mu_(o) (dphi_(e))/(dt)`
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Knowledge Check

  • Assertion : Displacement current goes through the gap between the plates of a capacitor when the charge of the capacitor does not charge Reason : The displacement current arises in the region in which the electric field is constant with time.

    A
    If both assertion and reason are true and reason is the correct explanation of assertion
    B
    If both assertion and reason are true but reason is not the correct explanation of assertion
    C
    If assertion is true but reason is false
    D
    If both assertion and reason are false

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