SME
College · Science
University Physics II: Electricity & Magnetism
5 topics
Physics
Before this course
Topics
Electric fields and Gauss's law
Main lesson
Gauss’s law: the field of a long line of charge
Use this for “A long wire carries 3 nC/m. Find the field 0.15 m from it, and how far out the field drops to 100 N/C.”
Gauss’s law: the field of a charged sheet
Use this for “A large flat sheet carries 4 nC/m². Find the field beside it, and between two sheets carrying +4 and −4 nC/m².”
Superposition: the field of two charges on a line
Use this for “A +3 μC charge sits at the origin and a −2 μC charge at x = 0.4 m. Find the field at x = 0.6 m, beyond both.”
Potential and capacitance
Main lesson
The capacitance of a coaxial cable
Use this for “A coaxial cable has a 0.8 mm inner wire inside a 3 mm shield. Find the capacitance of 10 m of it.”
Potential near a charged sphere, and the work to move a charge
Use this for “A metal sphere holds +5 μC. How much work does it take to bring a 3 nC charge from 0.5 m to 0.2 m from its centre?”
A dielectric slid into a charged capacitor
Use this for “A 25 pF capacitor is charged to 60 V and disconnected, then a slab with κ = 3 is slid in. Find the new voltage and energy.”
DC circuits
Main lesson
Charging a capacitor through a resistor
Use this for “A 2 μF capacitor charges through 50 kΩ from a 12 V battery. How much charge does it hold after 0.1 s, and what current flows then?”
A battery’s internal resistance
Use this for “A 9 V battery with 0.3 Ω inside lights a 2.7 Ω bulb. Find the current, the terminal voltage and the bulb’s power.”
Magnetic fields and induction
Main lesson
A rod sliding on rails in a magnetic field
Use this for “A 0.6 m rod is pulled at 3 m/s along rails in a 0.8 T field, closed by a 4 Ω resistor. Find the emf, the current and the force needed.”
Two parallel wires: the field and the force between them
Use this for “Two long parallel wires 8 cm apart carry 12 A and 6 A in opposite directions. Find the field of the first at the second and the force per meter.”
A solenoid: its field, inductance and stored energy
Use this for “A 400-turn solenoid 20 cm long, with a 2 cm² cross-section, carries 1.5 A. Find the field inside, its inductance and the energy it stores.”
A charged particle circling in a magnetic field
Use this for “An alpha particle (charge 2e, mass 6.645 × 10⁻²⁷ kg) moves at 1.5 × 10⁶ m/s square to a 0.8 T field. Find the radius of its circle and its cyclotron frequency.”
Current rising in an RL circuit
Use this for “A 24 V battery is switched into a 4 Ω resistor and a 2 H coil. What is the current after 0.25 s, and how much energy does the coil hold at the end?”
AC circuits
Main lesson
Resonance in a series RLC circuit
Use this for “A radio tuner has a 0.5 mH coil, a 200 pF capacitor and 10 Ω of resistance. At what frequency does it resonate, and how wide is its band?”
Average power and the power factor
Use this for “A coil of 40 Ω resistance and 30 Ω reactance runs on 230 V rms. Find the current, the power factor and the average power it takes.”
Course test
See what you know: 10 questions on this course
New questions each time. Pass to mark it complete.