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6 Mar 2020: Cambridge is keen to encourage able Scottish applicants, and indeed some of Cambridge’s greatestmathematicians, such as Kelvin, Maxwell and (more recently) Hodge, have come from Scotland.

4 Nov 2020: Write down the Maxwell equations obeyed by the fields D, H, B and E in thismedium in the absence of free charges or currents. ... i) Starting from Maxwell’s equations, derive the appropriate boundary conditions at x = 0for a time-independent electric

4 Nov 2020: Part II, Paper 3 [TURN OVER]. 18. 36D ElectrodynamicsThe Maxwell stress tensor σ of the electromagnetic fields is a two-index Cartesian tensor. ... Using Maxwell’s equations and the Lorentz force law, show thatthe components of σ obey the equation.

4 Nov 2020: Part II, Paper 2. 17. 36A Statistical PhysicsUsing the Gibbs free energy G(T,P) = E TS PV , derive the Maxwell relation.

4 Nov 2020: mduµ. dτ= qFµνuν , (). where uµ = dxµ/dτ is the particle’s four-velocity and Fµν = µAν νAµ is the Maxwell field-strength tensor.