1. (4 marks)(a) (2 marks) Design a 2 cm long “air cored” rod type inductor to have8 µF to within 5%.(b) (1 mark) Calculate the magnetic flux Φ in Wb through the coil from0.75 A DC.(c) (1 mark) The inductor is connected in series to a 75 Ω resistor. Calculatethe impedance at 95 MHz (about the frequency of FM radio).2. (2 marks) Sketch a diagram of a magnetically susceptible material such asiron placed within a magnetic field. Sketch the M-field and resultant B-field.3. (2 marks) Starting from Ampere’s circuital law, find the B field, total flux,and inductance of coaxial cable between the conductor and the shielding.4. A iron rod of finite length with relative permeability µr = 5000 is placedwithin a magnetic field. In the centre of the rod the magnetic field increasesabout 2000 times, but at the edge we measure an increase in B of about 200times.(a) (1 mark) Why do we not measure an increase in the B-field of 5000times?(b) (1 mark) Under what circumstances (theoretical or practical) might wemeasure an increase of 5000 times in the B-field?

Design a 2 cm long “air cored” rod type inductor to have8 µF to within 5%.(b) (1 mark) Calculate the magnetic flux Φ in Wb through the coil from0.75 A DC

A variable reluctance sensor consists of a core, a variable air gap and an armature. The coreis a 1 cm-diameter steel rod with a relative permeability of 100 that forms a 4 cm-diametersemi-circle. A coil of 500 turns is wound onto the core. The armature is a steel plate ofthickness 0.5 cm with a relative permeability of 100. Determine the inductance of the sensorfor air gaps of 1 mm and 3 mm (ε0 = 8.85×10-12 F m−1)

alculate the magnetic flux Φ in Wb through the coil from0.75 A DC.

A 1.0 m long metallic rod is rotated frequency of 400 rad/s about an axis normal to the rod passing through its one end. The other end of the rod is in contact with the circular metallic ring. A constant and uniform magnetic field of 0.5 T parallel to the axis everywhere. Calculate the emf developed between the centre and the ring

The current in a coil changes from 2 A to 10 A in 80 ms. As a result, an e.m.f of 5.0V is induced in the coil. Determine the magnitude of the self-inductance of the coil