**1. Derive the expression for magnetic field due to a straight current carrying conductor of finite length.**

**2. Derive the expression for magnetic field due to a current carrying circular coil.**

**3. Describe the construction and working and derive the expression for frequency in a cyclotron.**

**4. State Biot and Sarvart’s law. Deduce the expression magnetic field produced at the centre of a circular loop.**

**5. Describe the construction and working of a tangent galvanometer.**

**6. Calculate the magnetic field at the centre of a tangent galvanometer coil of 50 turns and radius 10 cm when a current of 1A passes through it. (**

**B**

**x 10**

^{-4}T )**7. Calculate the magnetic field in which the cyclotron dees should be placed to acceralate protons. The applied frequency is 8 MHz, mass of the proton = 1.67 x 10**

^{-27}Kg. ( 0.524 T)**8. Calculate the force per unit length on a long straight wire carrying current of 4 A due to a parallel wire carrying current of 6A. The distance between the two wires is 3 cm. (1.64 x 10**

^{-4}Nm^{-1})