Every Maxwell's Equations question asked in GPSC DEE Electrical, GPSC AE Electrical — solve, check instantly, then read the formula and exam tip.
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The continuity equation follows by taking the divergence of the Ampère-Maxwell law and using Gauss' law. This yields ∇·J = -∂ρv/∂t.
View answer & solutionMaxwell's equations unify electric and magnetic fields. Maxwell added displacement current to Ampere's law, showing that a time-varying electric field acts as a source of magnetic field. Key relation: ∇×H=J+∂D/∂t; ∇×E=−∂B/∂t.
Exam focus: Changing E produces H; changing B produces E. Common trap: Maxwell's equations are not limited to static fields.
View answer & solutionFaraday's law gives e = -dΦ/dt. For Φ = 3 sin t + 5 cos t, dΦ/dt = 3 cos t - 5 sin t, so e = -3 cos t + 5 sin t.
