Q1. null

• a)) Two positively charged particles having charges 10 µC and – 5 µC, respectively, are kept at a distance of 1 m from each other. Determine the force on each charge and the electric field due to each charge. Show the force and electric field vectors on appropriate diagrams. What is the resultant force at a point midway from the two charges along the straight line joining them? (400 words)
• b)) State Gauss's Law. What does spherically symmetric charge distribution mean? Use Gauss's Law to determine the electric field of a solid metallic sphere of radius R having volume charge density p at a point outside the sphere. (400 words)
• c)) A uniform electric field of 3×10^3 NC-1 is in the positive x-direction. A positive point charge 2 µC is released from rest at the origin. (400 words)
• d)) A particle carrying a charge of 2.7×10-9 C_is enclosed in a cubical Gaussian surface of side 0.5 m. Calculate the electric flux through the surface of the cube and any one of its faces. (160 words)

Q2. Three capacitors are connected to each other as shown below:

Q2. Three capacitors are connected to each other as shown below:

Q3. null

• a)) What do you understand by linear conductors? Discuss the conditions under which metals do not behave as linear conductors. (200 words)
• b)) The number density of electrons in aluminium metal is 9.64 × 10^28 m^-3. Calculate the drift velocity of electrons in an aluminium wire of cross-sectional area 2.0 mm² in which a current of 4A is flowing. (200 words)
• c)) Using Biot-Savart's law, obtain an expression for the magnetic field due to electric current flowing in a long straight wire at a distance R from the wire along a line perpendicular to the wire. (400 words)
• d)) Show that in the presence of external magnetic field, the magnetisation of a paramagnetic material depends on the strength of the magnetic field and the temperature of the material. (200 words)

Q4. null

• a)) Using Maxwell's equations in free space, derive the wave equation for the x-component of the electric field vector. (400 words)
• b)) A uniform plane wave of 100 MHz travelling in free space strikes normal to the surface of a large block of material having ɛ = 9ɛ0, μ = 4μ0 and σ = 0. If the incident electric field vector is given by Ē = 1000 cos (ωt – βy) ẑ Vm⁻¹, obtain the complete expressions for the incident, reflected and transmitted field vectors. (600 words)