Engineering Electromagnetics

Use this for “A cable has 250 nH/m and 100 pF/m. Find Z₀ and the speed of a signal on it.”

Use this for “Match a 200 Ω load to a 50 Ω line at 1 GHz with a quarter-wave section. Find its impedance and length.”

Use this for “A 50 Ω shorted stub is λ/8 long. Find its input reactance.”

Use this for “A 50 Ω line λ/8 long ends in a 100 + j50 Ω load. Find its input impedance.”

Use this for “Find E 0.1 m from a long line charge of 1 nC/m.”

Use this for “A 100-turn coil of area 0.01 m² sees B rise by 0.2 T in 0.1 s. Find the emf.”

Use this for “A 1 μF capacitor’s voltage rises at 1000 V/s. Find the displacement current between its plates.”

Use this for “A changing current in one coil drives a voltage in another. Which of Maxwell’s equations describes it?”

Use this for “Find the skin depth of copper (σ = 5.8 × 10⁷ S/m) at 1 MHz.”

Use this for “A plane wave in air hits a dielectric with εᵣ = 4 head-on. Find Γ, τ and the power passed.”

Use this for “How long should a half-wave dipole for 100 MHz be cut?”

Use this for “A 1 m dish at 12 GHz has an aperture efficiency of 0.6. Find its gain, beamwidth and far-field distance.”