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Ampere's circuital law is given by...

Ampere's circuital law is given by

A

`oint vecH.vecdl=mu_(0)I_("enc")`

B

`oint vecB.vecdl=mu_(0)I_("enc")`

C

`oint vecB.vecdl=mu_(0)J`

D

`oint vecH.vecdl=mu_(0)J`

Text Solution

Verified by Experts

The correct Answer is:
B
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You know that Ampere's circuital law is mathematically expressed as given below. oint vecB vec( dt) - mu _0 I Also you know that this law was corrected by Maxwell and which is known as Ampere-Maxwell law. Write the general form of the law and name the additional term.

State Ampere's circuital law. By using it derive an expression for magnetic field intensity at a point due to a straight current carrying conductor.

Knowledge Check

  • Maxwell's modified form of Ampere's circuital law is

    A
    `ointvecB.vec(ds)=0`
    B
    `ointvecB.vec(dl)=mu_(0)I`
    C
    `ointvecB.vec(dl)=mu_(0)I+(1)/(epsilon_(o))(dq)/(dt)`
    D
    `ointvecB.vec(dl)=mu_(0)I+mu_(0)epsilon_(o)(d oint_(E))/(dt)`

  • Ampere's circuital law is the integral form of

    A
    Lenz's law
    B
    Faraday's law
    C
    Biot-Savart's law
    D
    Coulomb's law.

  • Assertion: Ampere’s circuital law is independent of Biot-Savart’s law. Reason: Ampere’s circuital law can be derived from the Biot-savart’s law.

    A
    Assertion is correct, reason is correct, reason is a correct explanation for assertion.
    B
    Assertion is correct, reason is correct, reason is not a correct explanation for assertion
    C
    Assertion is correct, reason is incorrect
    D
    Assertion is incorrect, reason is correct

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    State Ampere's circuital law. Obtain an expression for magnetic induction along the axis of toroid.

    Using Ampere's circuital law, obtain an expression for the magnetic field along the aixs of a current carrying solenoid of length l and having N number of turns.

    Considering the case of a parallel plate capacitor being charged, show how one is required to generalize Ampere's circuital law of include the term due to displacement current.

    Using Ampere's circuital law, obtain an expression for the magnetic induction at a point near an infinitely long straight conductor carrying an electric current.

    Ampere’s circuital law is conveniently used to determine field of a solenoid or toroid as

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