Practice question
Question
A capacitor in a circuit has a conduction current of \( 2.5 \, \text{A} \) in the wires. What is the
displacement current between the plates?
Explanation
**Displacement current** I_d = ε₀ dΦ_E/dt, Φ_E = ∫ E·dA electric flux (V·m), ε₀=8.85×10⁻¹² F/m, ensures continuity of current in charging capacitor where conduction current stops between plates, I_d equals conduction current in wires, 3 A conduction ⇒ 3 A displacement, maintaining Ampere's law ∮ B·dl = μ₀(I_c+I_d). The document states that in a charging capacitor, the displacement current between the plates equals the conduction current in the wires, so i_d = 2.5 A . Using c = fλ, E₀/B₀ = c, I_d = ε₀ dΦ_E/dt, and spectrum classification λ = c/f, evaluation yields 2.5 A, illustrating EM wave transverse nature and Maxwell's displacement current concept.
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