-4 points YF14 My Notes O Ask Your Teacher 15.- 29 P.042. A parallel-plate air-f
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Question
-4 points YF14 My Notes O Ask Your Teacher 15.- 29 P.042. A parallel-plate air-filled capacitor is being charged as in the figure below. The circular plates have radius 4.40 cm, and at a particular instant the conduction current in the wires is 0.250 A (a) What is the displacement current density jo in the air space between the plates? A/m2 (b) What is the rate at which the electric field between the plates is changing? V/m-s (c) What is the induced magnetic field between the plates at a distance of 2.20 cm from the axis? (d) What is the induced magnetic field between the plates at 1.10 cm from the axis?Explanation / Answer
a) displacement = I2 / pi r2
= (0.250) / (pi * 0.0442)
= 41.1 A/m2
b) rate = J / e0 = 41.1 / (8.85 * 10-12)
= 4.64 * 1012 V/m.s
c) B = mu0 I / 2 pi * r/R2
= (4 pi * 10-7 * 0.250 * 0.022 / 2 pi) / (0.0442)
= 5.68 * 10-7 T
d) B = mu0 I / 2 pi * r/R2
= (4 pi * 10-7 * 0.250 * 0.011 / 2 pi) / (0.0442)
= 2.84 * 10-7 T
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