Mean and r m s values in AC circuits; DC and AC circuits with R, L and C components; Series and parallel resonances; Quality factor; Principle of transformer. Questions: Q 1. A 10Ω10 \Omega10Ω resistor is connected in series with a capacitor of 1μF1 \mu F1μF and a battery with emf 12V12V12V. Before the switch […]
DAY 6 – DAW February Read More »
Magnetic shell, uniformly magnetized sphere; Ferromagnetic materials, hysteresis, energy loss. Biot-Savart law, Ampere’s law, Questions: Q 1. Two solenoids have 500 and 800 turns of wire and are placed co-axially close to each other. A current of 5.0 A in the first solenoid produces an average flux of 200μWb200\mu Wb200μWb though its each turn and
DAY 5 – DAW February Read More »
Magnetic shell, uniformly magnetized sphere; Ferromagnetic materials, hysteresis, energy loss. Biot-Savart law, Ampere’s law, Questions: Q 1. State Biot-Savart law. Calculate the magnitude of axial magnetic induction due to a circular loop of area A carrying current I. [15 marks] Q 2. A uniformly magnetised sphere of radius RRR has magnetization M⃗=M0z^\vec M=M_0\hat zM=M0z^. If
DAY 4 – DAW February Read More »
Dielectrics, polarization; Solutions to boundary-value problems-conducting and dielectric spheres in a uniform electric field; Questions: Q 1. A region 1, z<0z<0z<0, has a dielectric material with ϵr=3.2\epsilon_r=3.2ϵr=3.2 and a region 2, z>0z>0z>0 has a dielectric material with ϵr=2.0\epsilon_r=2.0ϵr=2.0. Let the displacement vector in the region 1 be, D⃗1=−30ax+50ay+70aznCm−2\vec D_1 = -30a_x+50a_y+70a_z nCm^{-2}D1=−30ax+50ay+70aznCm−2. Assume the interface
DAY 3 – DAW February Read More »
Method of images and its applications; Potential and field due to a dipole, force and torque on a dipole in an external field; Questions: Q 1. A vertical oriented electric dipole having dipole moment p⃗\vec pp is kept at a height hhh above an infinitely large horizontal conducting plate, which is grounded as shown in
DAY 2 – DAW February Read More »
Laplace and Poisson equations in electrostatics and their applications; Energy of a system of charges, multiple expansion of scalar potential Questions: Q 1. Starting from the Laplace’s equation in a cylindrical polar coordinate system and using the method of separation of variables , obtain the differential equations for the solution of r, θ\thetaθ and z
DAY 1 – DAW February Read More »
Lasers-Einstein A and B coefficients;Ruby and He-Ne lasers; Characteristics of laser light-spatial and temporal coherence; Focusing of laser beams; Three-level scheme for laser operation; Holography and simple applications. Questions: Q 1. In He-Ne laser, what is the function of He gas? Explain the answer with the help of energy level diagram for He-Ne laser ?
DAY 20 – DAW January Read More »
Production and detection of linearly and circularly polarized light; Double refraction, quarter wave plate; Optical activity; Principles of fibre optics, attenuation; Pulse dispersion in step index and parabolic index fibres; Material dispersion, single mode fibres; Questions: Q 1. For a multimode step-index optical fibre, the core refractive index is 1.5 and the fractional index difference
DAY 19 – DAW January Read More »
Fresnel diffraction: half-period zones and zone plates, circular aperture. Questions: Q 1. Show that the areas of all the half-period zones are nearly the same. Find the radius of 1st half-period zone in a zone plate whose focal length is 50 cm and the wavelength of the incident light is 500 nm. [15 marks] Q
DAY 18 – DAW January Read More »
Fraunhofer diffraction-single slit, double slit, diffraction grating, resolving power; Diffraction by a circular aperture and the Airy pattern; Questions: Q 1. Can D1 and D2 lines of sodium light be resolved in second-order spectrum if the number of lines in the given grating is 450? Explain. λD1=5890A0\lambda_{D1}=5890 A^0λD1=5890A0 and λD1=5890A0\lambda_{D1}=5890 A^0λD1=5890A0. [10 marks] Q
DAY 17 – DAW January Read More »
