Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Chapter 21, Problem 18P
To determine

The charge during the operation.

Expert Solution & Answer
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Answer to Problem 18P

Solution:

5.23 C charge moves past a point in the coil during operation.

Explanation of Solution

Given info:

Diameter of loop=13.2 cm

Radius of loop = d2

=6.6 cm

= 0.066 m

Magnetic field (B)=0.670 T

Diameter wire =2.25 mm

Radius wire= d2

=1.125×103

Formulas to be used:

By combining the equations

The charge with respect to elapsed time

Q=It …… (1)

By ohm’s law, the induced current

I=ER…… (2)

The resistance is given by,

R=ρlAw[Aw= Area of wire]...... (3)

By Faraday’s law, the induced emf is given by,

|E|=Aϕ|ΔB|Δt [Aϕ=Area of loop]……(4)

Combining the equations (2), (3)and (4)

I=Aϕ|ΔB|ΔtρlAw

I=AϕAw|ΔB|ρlΔt ……(5)

Calculation:

Substituting I value from equation in equation (1)

Q=IΔt

=AϕAw|ΔB|ρl

=(πrϕ2)(πrw2)|ΔB|ρ2πrϕ[l=2πrA=πr2]

Q =(rϕ)πrw2|ΔB|2ρ

Q =(0.066)(π(1.25×103)2)(0.6707)2(1.68×108)

Q =5.23 C

Chapter 21 Solutions

Physics: Principles with Applications

Ch. 21 - Prob. 11QCh. 21 - Prob. 12QCh. 21 - Prob. 13QCh. 21 - Prob. 14QCh. 21 - Prob. 15QCh. 21 - Prob. 16QCh. 21 - Prob. 17QCh. 21 - Prob. 18QCh. 21 - Prob. 19QCh. 21 - Prob. 20QCh. 21 - Prob. 21QCh. 21 - Prob. 22QCh. 21 - Prob. 23QCh. 21 - Prob. 24QCh. 21 - Prob. 1PCh. 21 - Prob. 2PCh. 21 - The rectangular loop in Fig. 21-5813 is being...Ch. 21 - If the solenoid in Fig. 21-59 |D is being pulled...Ch. 21 - An 18.5-cm-diameter loop of wire is initially...Ch. 21 - A fixed 10.8-cm-diameter wire coil is...Ch. 21 - A 16-cm-diameter circular loop of wire is placed...Ch. 21 - Prob. 8PCh. 21 - Prob. 9PCh. 21 - A circular loop in the plane of the paper lies in...Ch. 21 - Prob. 11PCh. 21 - Prob. 12PCh. 21 - Prob. 13PCh. 21 - Prob. 14PCh. 21 - Prob. 15PCh. 21 - Prob. 16PCh. 21 - Prob. 17PCh. 21 - Prob. 18PCh. 21 - Prob. 19PCh. 21 - Prob. 20PCh. 21 - Prob. 21PCh. 21 - A simple generator has a square armature 6.0 cm on...Ch. 21 - Prob. 23PCh. 21 - Prob. 24PCh. 21 - Prob. 25PCh. 21 - Prob. 26PCh. 21 - Prob. 27PCh. 21 - Prob. 28PCh. 21 - Prob. 29PCh. 21 - Prob. 30PCh. 21 - Prob. 31PCh. 21 - Prob. 32PCh. 21 - Prob. 33PCh. 21 - Prob. 34PCh. 21 - Prob. 35PCh. 21 - Prob. 36PCh. 21 - Prob. 37PCh. 21 - Prob. 38PCh. 21 - Prob. 39PCh. 21 - Prob. 40PCh. 21 - Prob. 41PCh. 21 - Prob. 42PCh. 21 - Prob. 43PCh. 21 - Prob. 44PCh. 21 - Prob. 45PCh. 21 - Prob. 46PCh. 21 - Prob. 47PCh. 21 - Prob. 48PCh. 21 - Prob. 49PCh. 21 - Prob. 50PCh. 21 - Prob. 51PCh. 21 - Prob. 52PCh. 21 - Prob. 53PCh. 21 - Prob. 54PCh. 21 - Prob. 55PCh. 21 - Prob. 56PCh. 21 - (a) What is the reactance of a well-insulated...Ch. 21 - Prob. 58PCh. 21 - Prob. 59PCh. 21 - Prob. 60PCh. 21 - Prob. 61PCh. 21 - Determine the total impedance, phase angle, and...Ch. 21 - Prob. 63PCh. 21 - Prob. 64PCh. 21 - Prob. 65PCh. 21 - Prob. 66PCh. 21 - Prob. 67PCh. 21 - The variable capacitor in the tuner of an AM radio...Ch. 21 - Prob. 69PCh. 21 - A resonant circuit using a 260-nF capacitor is to...Ch. 21 - Prob. 71PCh. 21 - Prob. 72GPCh. 21 - Prob. 73GPCh. 21 - Prob. 74GPCh. 21 - Prob. 75GPCh. 21 - Prob. 76GPCh. 21 - Power is generated at 24 kV at a generating plant...Ch. 21 - Prob. 78GPCh. 21 - Prob. 79GPCh. 21 - Prob. 80GPCh. 21 - Prob. 81GPCh. 21 - Prob. 82GPCh. 21 - Prob. 83GPCh. 21 - Prob. 84GPCh. 21 - Prob. 85GPCh. 21 - Prob. 86GPCh. 21 - Prob. 87GPCh. 21 - Prob. 88GPCh. 21 - Prob. 89GP
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