Part of JMAG-04 — Electromagnetic Waves & Spectrum

Key Formulas and JEE Strategy

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Essential formulas: c = 1/sqrt(mu0mu_0epsilon0epsilon_0) = 3 x 10^8 m/s. IdI_d = epsilon0epsilon_0dPhiEdt\frac{Phi_E}{dt}. E0E_0/B0B_0 = c. u = epsilon0epsilon_0E2E^2 = B2B^2/mu0mu_0 (uEu_E = uBu_B). I = 12\frac{1}{2}cepsilon0epsilon_0E02E_0^2. S = 1mu0\frac{1}{mu_0}(E x B). Pressure: I/c (absorb), 2I/c (reflect). v = cn\frac{c}{n}, n = sqrt(murmu_repsilonrepsilon_r). lambdaf = c.

JEE strategy by question type: (1) Displacement current: use IdI_d = epsilon0epsilon_0AdE/dt or equivalently IdI_d = CdV/dt. (2) E-B relationship: B0B_0 = E0c\frac{E_0}{c} (B is always much smaller numerically in SI). (3) Direction: use E x B for propagation direction. (4) Intensity: I = 12\frac{1}{2}cepsilon0epsilon_0E02E_0^2 — memorize this one formula and derive the rest. (5) Radiation pressure: remember the factor of 2 for reflection. (6) Spectrum questions: know the order, sources, and one key application per region. (7) Speed in medium: v = cn\frac{c}{n} = csqrt\frac{c}{sqrt}(epsilonrepsilon_r) for non-magnetic materials. Common traps: confusing absorption and reflection pressure, forgetting that E and B are in phase (not 90 degrees out of phase), and mixing up E0E_0 with ErmsE_{rms}.

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