Ampere's Law and Biot-Savart Law

Ampere’s circuital law is analogous to a law in electrostatics.That law is

• Gauss’s law

• Kirchhoff’s law

• Faraday’s law

• Coulomb’s law

Amperes circuital law holds for

• unsteady current

• steady current

• any type of current

• variable current

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A current I flows along the length of an infinetly long, straight thin walled pipe.Then

• The magnetic field at all points inside the pipe is the same, but not zero

• The magnetic field is zero only on the axis of the pipe

• The magnetic field is different at different points inside the pipe.

• The magnetic field at any point inside the pipe is zero

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The direction of magnetic field is determined by

• Fleming left hand rule

• Right hand thumb rule

• Fleming right hand rule

• None of these

Magnetic field at the centre of a current carrying circular loop having 1A current and number of turns one will be(radius of the loop is 1m)

• μ₀/2

• μ₀/4

• 2μ₀

• 4μ₀

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The mathematical expression for Amperes circuital law:

• ∮Bdl = μ₀ I

• ∮Bxdl = μ₀ I

• ∮B.dl = μ₀ I

• ∮Bdl = μ₀ I/r

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For a thick long wire of uniform cross section of radius a carrying a steady current I, the magnetic field inside the wire with distance r is

• directly proportional

• inversly proportional

• zero

• none of these

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For a thick long wire of uniform cross section of radius a carrying a steady current I, the magnetic field inside the wire with distance r is

• directly proportional

• first decreases and then increases

• inversely proportional

• none of these

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The magnetic field of the solenoid is 18.84mT, the number of turns per unit length is 500 turns per metre. Calculate the current if the core is air

• 300A

• 30A

• 3A

• 300mA

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What is the magnitude of magnetic field in empty space of toroid?

• µ₀nI

• µ₀nI/2

• nI

• zero

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