Show that for a straight conductor, the magnetic field
\(\overset { \rightarrow }{ B } =\frac { { \mu }_{ ° }I }{ 4\pi a } (cos\varphi _{ 1 }-cos\varphi _{ 2 })\hat { n } \)
\(=\frac { { \mu }_{ ° }I }{ 4\pi a } (sin{ \theta }_{ 1 }+sin{ \theta }_{ 2 })\hat { n } \)

Discuss Earth’s magnetic field in detail.

Deduce the relation for the magnetic field at a point due to an infinitely long straight conductor carrying current using Biot-Savart law.

Obtain a relation for the magnetic field at a point along the axis of a circular coil carrying current using Biot-Savart law.

Compute the torque experienced by a magnetic needle in a uniform magnetic field.

Calculate the magnetic field at a point on the axial line of a bar magnet.

Obtain the magnetic field at a point on the equatorial line of a bar magnet.

Find the magnetic field due to a long straight conductor using Ampere’s circuital law.

Discuss the working of cyclotron in detail.

What is tangent law? Discuss in detail.

Discuss the conversion of galvanometer into an ammeter and also a voltmeter.

Calculate the magnetic field inside and outside of the long solenoid using Ampere’s circuital law.

Derive the expression for the torque on a current-carrying coil in a magnetic field.

Derive the expression for the force between two parallel, current - carrying conductors.

Compare the properties of soft and hard ferromagnetic materials.

Derive the expression for the force on a current-carrying conductor in a magnetic field.