Work through the list without notes. If you cannot do a statement, follow its link, then come back. Guide = study guide; Practice = practice questions.
Understanding
- I can state Ampère’s law, ∮B·dℓ = μ₀I_enc, and explain what an Amperian loop is. (Guide: “From the long-wire field to Ampère’s law”)
- I can use the right-hand sign rule to decide which enclosed currents are positive. (Practice Q1)
- I can explain why ∮B·dℓ = 0 does not mean B = 0 on the loop. (Guide: “Common misconceptions”)
- I can say when Ampère’s law gives B directly and when it is true but not helpful. (Guide: “Choosing an Amperian loop”)
- I can explain that a changing electric field produces a magnetic field (Maxwell’s addition). (Guide: “Maxwell’s addition”; Practice Q7)
Calculation and skills
- I can derive B inside and outside a long uniform solid conductor and evaluate it with numbers. (Guide: Worked example 1)
- I can find B in the hollow, in the metal and outside a thick tube, and outside a coaxial cable. (Practice Q3, Q4)
- I can set up and evaluate I_enc = ∫J(r′)2πr′ dr′ for a non-uniform current density. (Guide: Worked example 2; Practice Q6)
- I can derive B inside and outside a current-carrying slab. (Guide: “Slabs and current sheets”; Practice Q5)
- I can derive B = μ₀nI with a rectangular loop and state the ideal-solenoid assumptions. (Guide: Figure 2; Practice Q7)
- I can add fields from a solenoid, wires and cylinders as vectors. (Guide: Worked example 3)
Reasoning
- I can predict a factor of change in B for a solenoid or a wire. (Practice Q2)
- I can sketch B(r) for a cylinder and label the value at the surface. (Guide: Figure 1)
- I can check a result for continuity at the surface and thin-wire behaviour far away. (Practice Q6)
All ticked? Move on to magnetic flux (Topic 13.1), or return to the course roadmap.