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Displacement Current: Problem with Solution, Exercises of Electrical Engineering

This is solution to problems related Electrical Engineering course. It was suggested by Prof. Bhooshan Sawhney at Shree Ram Swarup College of Engineering and Management. It includes: Displacement, Current, Sense, Induced, Magnetic, Field, Result, Electric, Lines

Typology: Exercises

2011/2012

Uploaded on 07/20/2012

apurva
apurva 🇮🇳

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54. (a) Since the field is decreasing, the displacement current (by Eq. 32-38) is downward, which produces
(by the right-hand rule) a clockwise sense for the induced magnetic field.
(b) See the solution for part (a).
(c) and (d) We write
E=Ezˆ
k=(E0−ξt)ˆ
kwhereξ= 60000(V/m)/s. From Eq. 32-36 (treated in
absolute value)
id=ε0A
dEz
dt
=ε0Aξ
which yields id=2.1×10−8A for all values of t.
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  1. (a) Since the field is decreasing, the displacement current (by Eq. 32-38) is downward, which produces

(by the right-hand rule) a clockwise sense for the induced magnetic field.

(b) See the solution for part (a).

(c) and (d) We write

E = Ez

k = (E 0 − ξt)

k where ξ = 60000(V/m)/s. From Eq. 32-36 (treated in

absolute value)

id = ε 0 A

dEz

dt

= ε 0 A ξ

which yields id = 2. 1 × 10 − 8 A for all values of t.

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