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State Biot-Savart's law and express this...

State Biot-Savart's law and express this law in the vector form.

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Biot-Savart's law states that the magnetic field induction at a point due to current I in element of legth `dl`, at distance r from the element is

`dB=(mu_0)/(4pi)(Idlsintheta)/(r^2)`
`dvecB=(mu_0)/(4pi)(I(dveclxxvecr))/(r^3)`
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(a) State Biot - Savart law and express this law in the vactor form. (b) Two identical circular coils, P and Q each of radius R, carrying currents 1A and sqrt(3)A respectively, are placed concentrically and perpendicular to each other lying in the XY and YZ planes. Find the magnitude and direction of the net magnetic field at the centre of the coils.

Biot Savart Law

Knowledge Check

  • A: Ampere circuital law is not independent of the Biot- Savart's law. R: Ampere's Circuital law can be derived from the Blot Savart law.

    A
    If both Assertion & Reason are true and the reason is the correct explanation of the assertion then mark (1)
    B
    If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark 2.
    C
    If assertion is true statement but Reason is false, then mark (3)
    D
    If both Assertion and Reason are false statements, then mark (4)

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