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Write the expression for the generalised...

Write the expression for the generalised form of Ampere.s circuital law. Discuss its significance and describe briefly how the concept of displacement current is explained through charging/discharging of a capacitor in an electric circuit.

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According to the generalised form of Ampere.s circuital law the line integeral of magnetic field for a closed path is equal to Ho times the sum of conduction current and displacement current within that loop. Mathematically,
`ointvecB.vecdl=mu_(0)(I+I_(d))`
where I = conduction current and `l_(d) =` displacement current.
To explain the significance of the generalised law, by considering charging/discharging of a parallel plate capacitor and for introduction of the concept of displacement current
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Knowledge Check

  • A capacitor is charged to a certain potential and then allowed to discharge through a resistance R. The ratio of charge on the capacitor to current in the circuit

    A
    changes with time
    B
    does not change with time and it is equal to time constant of circuit
    C
    does not change with time, but not equal to time constant of circuit
    D
    may or may not change depending upon the charge given to the capacitor

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