1)What is the displacement current through a circular loop of radiusr= 3.00 cm centered on the axis of the capacitor?
2)What is the magnitude of the magnetic field between the capacitor plates at a radiusr= 3.00 cm from the axis of the capacitor?
a)
Displacement current:
ID = ε0 ∂φ/∂t
φ = ∫E.dA = E A
E = Q/ε0A >>>>> φ = (Q/ε0A) A = Q/ε0
ID = ε0 ∂φ/∂t = dQ/dt = 4 C/s = 4 A
i = ID (πr2/πR2) = ID (r2/R2) = 4 * (3*3/(26*26)) = 0.0532544 ≈ 0.0533 A
b)
∫B.dA = μ0 ID
>>>> B (2πr) = μ0 i
>>>> B = (μ0 i)/2πr
>>>> B = (4*3.1415e-7)*0.0532544/(2*3.14*0.03) = 3.55 * 10^-7 T
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