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Magnetic Field Due to a Straight Current Carrying Conductor

State biot-sa...

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State biot-savarts law in vector form . express the magnetic field due to an elemental carrying current I at a distance r from the element

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Q. (a) Write using Biot - Savart Law, the expression for magnetic field

\to B

due to an element

\to d l

carrying current

I

\to r

from it in a vector form.
Hence derive the expression for the magnetic field due to a current carrying loop of radius

R

at a point P distant

x

from its centre along the axis of the loop.
(b) Explain how Biot - Savart law enables one to express the Ampere's circuital law in the integral form, viz.,

\to B . \to d l = μ_{o} I

I

is the total current passing through the surface.

Q. State Biot-Savart law. Derive an expression for the intensity of magnetic field at the centre of a current carrying circular loop on its basis.

Q. Use Biot-Savart law to derive the expression for the magnetic field on the axis of a current carrying circular loop of radius R.

Draw the magnetic field lines due to a circular wire carrying current I.

[CBSE PMT 1996; MP PET 2002; MP PMT 2000]

Q. Using Biot-Savart's law, obtain an expression for magnetic field at a distance

r

metre from an infinitely long wire carrying a current of

i

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Magnetic Field Due to a Straight Current Carrying Conductor

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