Ace Electricity & Magnetism in 11 Hrs (The Complete Course)

Explore how charge is quantized in integer multiples of e and conserved in isolated systems, then distinguish insulators from conductors, noting rubbing, direct contact, and surface charge redistribution.

Apply Coulomb's law to the Bohr hydrogen model to find electron speed in a circular orbit, 2.8×10^6 m/s, with the electric force as the centripetal force and gravity negligible.

Explore the superposition of electric forces by summing vector forces from multiple charges to find the net force on a charge, using Coulomb's law in three examples.

Explore how multiple source charges produce a net electric field by vector sum of individual fields, using the superposition principle and E equals k q over r squared.

Learn how a charged body's electric field arises from distributed charge by integrating infinitesimal elements dq. Apply the integral dq over r squared in the direction r-hat via superposition.

Compute the net electric field at point P for a uniformly charged ring by symmetry and integration, yielding the x-component E_x = k Q x /(x^2+R^2)^(3/2).

Apply Gauss's law to compute the net electric flux through any closed surface using the total charge enclosed, via the relation flux equals the enclosed charge divided by epsilon naught.

Learn how a hollow conductor with zero net charge forms a Faraday cage that makes the electric field vanish inside the hollow region, with everyday examples like microwaves and elevators.

Explore how capacitors store charge and connect in parallel or series, deriving the equivalent capacitance: Ceq = C1 + C2 in parallel, and 1/Ceq = 1/C1 + 1/C2 in series.

Charge an 8 µF capacitor to 120 V; connecting to a 4 µF capacitor yields final 80 V with redistributed charge, and energy drops to 0.039 J due to heat.

Explore dielectrics in capacitors, showing how water (kappa 80) raises capacitance from 5 nF to 400 nF and voltage from 160 V to 20 V, with energy lost as heat.

Learn how resistance arises from material resistivity, length, and area, derive ohm's law ΔV = IR, and compare conductors, insulators, and ideal cases using a water flow analogy.

Explore resistors in series and parallel, applying Kirchhoff's loop rule and Ohm's law to define equivalent resistances. Discuss real batteries with internal resistance and currents along parallel paths.

Demonstrate resistors in series and parallel by measuring current and voltage with emf and a voltmeter, compute internal resistance, and apply Kirchhoff’s loop rule to find equivalent resistances and currents.

Explore RC circuits with a resistor and capacitor, analyze charging dynamics, derive time dependent current and charge using loop rule and differential equations, and understand the time constant RC.

Explore how a moving charge and a steady current produce magnetic fields using the cross product and the right-hand rule, via v × r̂ / r² and current integration.

Examine how atomic magnetism arises from electrons orbiting the nucleus and spin. Ferromagnetic materials such as nickel, iron, and cobalt show domain alignment under external fields, producing persistent magnetization.

Learn how magnetic fields act on current-carrying wires, determine the force with the right-hand rule, and see how parallel wires attract or repel.

examine two wires connected by springs to find the current for a 5–6 cm stretch, applying the right-hand rule, magnetic field, and Hooke’s law.

Apply the right-hand rule to magnetic torques on a uniform-field rectangular loop and rank loops A, B, and C; compute a circular coil’s magnetic moment and torque.

Define magnetic flux as surface integral of B dot dA and dependence; note zero flux for closed surfaces, shown by a loop near a current-carrying wire with μ0 I/(2π) ln((C+A)/C).

Apply Faraday's law to differentiate the time-dependent magnetic flux through a loop inside a uniform field solenoid. Determine the induced current via Ohm's law from the resulting emf.

Eddy currents are circular currents that oppose changing magnetic flux when a magnet moves near metal, producing clockwise or counterclockwise fields, as shown by the pipe demo and metal detectors.