Karnataka II PUC Physics (KSEAB) study plan

Derive and reproduce Coulomb's law in vector form, and apply the superposition principle to calculate the net force on a charge in a three-charge configuration.

Define electric field and electric dipole moment, and compute the axial and equatorial field of a dipole without referring to notes.

State and apply Gauss's law to derive the field of an infinite line charge, an infinite plane sheet, and a thin spherical shell, distinguishing interior and exterior regions.

Solve at least 12 numerical problems combining force, field, and flux, showing each step symbolically before substituting values.

Draw field-line sketches for a dipole, a charged conductor, and a uniform external field, and annotate what each sketch implies about conductor surfaces.

Define electrostatic potential and potential difference, and compute potential due to a point charge, a dipole, and a charged spherical shell at points inside and outside.

Relate electric field to potential gradient, and use it to find field from a given potential function.

Derive the capacitance of a parallel-plate capacitor with and without a dielectric slab, and compute equivalent capacitance for series and parallel combinations.

Derive the energy stored in a capacitor in three forms and calculate energy lost when two charged capacitors are connected.

Describe the standard capacitor and potentiometer-type experiments in the practical syllabus, listing apparatus, circuit connection, observations, and the source of each precaution.

Derive drift velocity and the relation between current density and electric field, and state the limits of Ohm's law.

Compute equivalent resistance for mixed series-parallel networks and apply Kirchhoff's junction and loop rules to two-loop circuits.

Derive the balance condition of a Wheatstone bridge and explain how a metre bridge is used to measure an unknown resistance.

Calculate internal resistance, terminal voltage, and power dissipated using a cell with emf and internal resistance in a circuit.

Explain the principle of a potentiometer and use it to compare emfs of two cells, then write out the metre bridge experiment procedure with error-reduction precautions.

Apply the Biot-Savart law to compute the magnetic field on the axis of a circular loop and at the centre of a circular arc.

Derive and apply Ampere's circuital law to a straight wire, a solenoid, and a toroid.

Compute the force on a current-carrying conductor and on a moving charge in a magnetic field, and derive the radius and period of circular motion.

Derive the torque on a current loop and define the magnetic dipole moment, then compute the field of a bar magnet on axial and equatorial lines.

State the properties of dia-, para-, and ferromagnetic materials and explain hysteresis with a labelled sketch of the B-H loop.

State Faraday's and Lenz's laws, and compute induced emf and current for a rod moving on rails and for a coil in a changing field.

Derive self-inductance of a solenoid and mutual inductance of two coaxial coils, and compute energy stored in an inductor.

Derive the expression for current in a series LCR circuit and define resonance, quality factor, and power factor.

Compute rms and average values for sinusoidal quantities and solve transformer and AC power numericals.

Identify the source, wavelength range, and one practical application of each region of the electromagnetic spectrum, and state the displacement-current argument that leads to electromagnetic waves.

Apply the mirror and thin-lens formulas with the sign convention to compute image position, magnification, and power for single and two-lens systems.

Derive the lens maker's formula and explain total internal reflection with the critical angle and one application.

Derive fringe width in Young's double-slit experiment and calculate fringe width, wavelength, and fringe shift when a slab is introduced.

Explain diffraction at a single slit and derive the condition for secondary maxima and minima, and state the resolving power of a telescope and microscope.

Write the procedure, observation table, and precautions for the focal length of a convex lens and for a refractive index experiment using a travelling microscope.

Explain the photoelectric effect and derive Einstein's photoelectric equation, then compute threshold frequency, stopping potential, and maximum kinetic energy.

Calculate de Broglie wavelength for electrons and macroscopic objects and compare with the photon momentum relation.

Apply Bohr's postulates to derive the radius and energy of the nth orbit of hydrogen, and compute wavelengths of spectral series.

State the composition of the nucleus, define mass defect and binding energy, and compute binding energy per nucleon for given isotopes.

Write the laws of radioactive decay, derive the relation between half-life and decay constant, and balance nuclear reaction equations for alpha and beta decay.

Distinguish conductors, semiconductors, and insulators using band theory, and explain the effect of temperature and doping on conductivity.

Explain the formation of a p-n junction, depletion region, and barrier potential, and describe forward and reverse bias behaviour with I-V curves.

Analyse half-wave and full-wave rectifier circuits and explain the role of a filter, and describe the Zener diode as a voltage regulator.

Explain the working of a transistor as an amplifier and as a switch, and state the current gain relations in CE configuration.

Run a full-length timed mock covering all ten domains, and tabulate the score per domain to identify the two weakest areas for final revision.