Part of JMAG-04 — Electromagnetic Waves & Spectrum

EM Wave Equations and Calculations

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Standard form: E = E0E_0 sin(kz - omegat) x-hat, B = B0B_0 sin(kz - omegat) y-hat. Here k = 2pi/lambda (wave number), omega = 2pif (angular frequency), v = omegak\frac{omega}{k} = c. The propagation direction is along E x B (use right-hand rule). Given E direction and propagation direction, find B: B = khatxEc\frac{k-hat x E}{c}, where k-hat is the unit propagation vector. Key relationships: E0E_0 = cB0B_0, lambdaf = c, omega = ck. To identify the wave type: check lambda against the spectrum table. JEE problems typically give E (or B) and ask you to write B (or E), identify propagation direction, calculate intensity, or find the radiation pressure. Strategy: (1) Extract E0E_0, k, omega from the given expression. (2) Compute lambda = 2pi/k, f = omega2pi\frac{omega}{2*pi}. (3) Verify c = omegak\frac{omega}{k}. (4) B0B_0 = E0c\frac{E_0}{c}. (5) Use right-hand rule for direction.

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