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Electromagnetic Waves

Describe the nature of electromagnetic waves. Write down Maxwell’s equations and explain how they show that light is an electromagnetic wave.

Wave Optics

Explain Young’s double-slit experiment. Derive the expression for the fringe width  and discuss how it depends on the wavelength λ of light.

Optics

Using the mirror formula, derive the relationship:

for a concave mirror. Define each term clearly.

Alternating Current

Derive the expression for the average power consumed in an AC circuit containing a resistor R, inductor L, and capacitor C connected in series.

Electromagnetic Induction

Explain Faraday’s law of electromagnetic induction. If the magnetic flux Φ through a coil changes from 5Wb to 3Wb in 0.1 calculate the induced EMF.

Magnetic Effects of Current

Using Biot-Savart’s law, derive the expression for the magnetic field at the center of a circular current-carrying loop of radius r and current I

Current Electricity

Derive Ohm’s law using the concept of drift velocity. Also, explain how resistivity of a conductor depends on temperature.

Capacitors

 Calculate the equivalent capacitance of a system where three capacitors, each of capacitance C, are connected in series and then in parallel. What is the ratio of these equivalent capacitances?

Electrostatics

Derive the expression for the electric field E due to a uniformly charged thin spherical shell at a point (a) outside the shell and (b) inside the shell.