EBK PHYSICS FOR SCIENTISTS AND ENGINEER
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
6th Edition
ISBN: 9781319321710
Author: Mosca
Publisher: VST
Question
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Chapter 30, Problem 1P

(a)

To determine

Whether the given statement is true or false.

(a)

Expert Solution
Check Mark

Answer to Problem 1P

The given statement is False.

Explanation of Solution

Introduction:

Conduction current developed in conductors due to movement of electrons in it, while displacement current developed when atime-varying electric field sets upin a dielectric orcapacitor.

According to Maxwell's Ampere circuital Law, the line integral of magnetic field along a closed path is equal to μo times of the total current is given by,

  Bdl=μo(ic+id)

Here, ic is conduction current and id is displacement current.

So, both conduction current and displacement current have same unit.

Conclusion:

Thus, the given statement is False.

(b)

To determine

Whether the given statement is true or false.

(b)

Expert Solution
Check Mark

Answer to Problem 1P

The given statement is True.

Explanation of Solution

Introduction:

Displacement current developed when atime-varying electric field sets upin a dielectric or capacitor. It was discovered by Maxwell.

According to Maxwell's the expression for displacement current id is given by,

  id=εodϕedt

Here, ϕe is the flux of the electric field.

So, when ϕe is constant then id is zero.

Hence, displacement current only exists if the electric field in the region changing with time.

Conclusion:

Therefore, the given statement is True.

(c)

To determine

Whether the given statement is true or false.

(c)

Expert Solution
Check Mark

Answer to Problem 1P

The given statement is True.

Explanation of Solution

Introduction:

Displacement current developed when atime-varying electric field sets upin a dielectric or capacitor. It was discovered by Maxwell.

In an oscillating circuit, when the capacitor is momentarily fully charged the value of electric flux is maximum and constant. So, there is no displacement current.

Conclusion:

Therefore, the given statement is True.

(d)

To determine

Whether the given statement is true or false.

(d)

Expert Solution
Check Mark

Answer to Problem 1P

The given statement is False.

Explanation of Solution

Introduction:

Displacement current developed when atime-varying electric field sets upin a dielectric or capacitor. It was discovered by Maxwell.

In an oscillating LC circuit, when the capacitor is momentarily uncharged the rate of change of electric field is given by,

  dEdt0

So, rate of change of electric flux is given by,

  dϕedt0

Hence, displacement current is given by,

  id=εodϕedtid0

Conclusion:

Therefore, the given statement is False.

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