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)`

Topper's Solved these Questions

XII BOARDS
XII BOARDS PREVIOUS YEAR|Exercise SET-I (SECTION-C)|13 Videos
XII BOARDS
XII BOARDS PREVIOUS YEAR|Exercise SET-I (SECTION-D)|1 Videos
XII BOARDS
XII BOARDS PREVIOUS YEAR|Exercise SET-I (SECTION-A)|5 Videos
SAMPLE PAPER 2019
XII BOARDS PREVIOUS YEAR|Exercise SECTION D|6 Videos

An amperes is a rate of flow of electric current of

one faraday per second

one coulomb per second

one coulomb per minutes

one faraday per minutes

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.

If both assertion and reason are true and reason is the correct explanation of assertion

If both assertion and reason are true but reason is not the correct explanation of assertion

If assertion is true but reason is false

If both assertion and reason are false

The conduction current in ideal case through a circuit is zero when charge on capacitor is

zero

maximum

any transient value

depends on capacitor used