Solution Found!

Physics / Sears and Zemansky's University Physics with Modern Physics 13 / Chapter 30 / Problem 25E

Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford

Change Question

Solved: A 35.0-V battery with negligible internal

Chapter 30, Problem 25E

(choose chapter or problem)

Get Unlimited Answers

QUESTION:

Problem 25E

A 35.0-V battery with negligible internal resistance, a 50.0-Ω resistor, and a 1.25-mH inductor with negligible resistance are all connected in series with an open switch. The switch is suddenly closed. (a) How long after closing the switch will the current through the inductor reach one-half of its maximum value? (b) How long after closing the switch will the energy stored in the inductor reach one-half of its maximum value?

Questions & Answers

QUESTION:

Problem 25E

A 35.0-V battery with negligible internal resistance, a 50.0-Ω resistor, and a 1.25-mH inductor with negligible resistance are all connected in series with an open switch. The switch is suddenly closed. (a) How long after closing the switch will the current through the inductor reach one-half of its maximum value? (b) How long after closing the switch will the energy stored in the inductor reach one-half of its maximum value?

ANSWER:

Solution 25E

The current in an L-R circuit with emf $E$ is given by,

$I=I{\ }_{0}(1-e{\ }^{-Rt/L})$ …..(1)

Given, $R=50.0\ \Omega{}$

$L=1.25\ mH=1.25\times{}1{0}^{-3}\ H$

Time constant $\tau{}=L/R=1.25\times{}1{0}^{-3}/50.0=0.025\times{}1{0}^{-3}\ s$

(a) If the current reaches 1/2 of maximum value in time $t$ .

$I{\ }_{0}/2=I{\ }_{0}(1-e{\ }^{-t/\tau{}})$

Study Tools You Might Need

Chapter: 14 Problem: 11

College Physics 1
Problem 11CQ In very humid climates where there are numerous bodies of water, such as in Florida, it is unusual for temperatures to rise above about 35C(95F) . In deserts, however, temperatures can rise far above this. Explain how the evaporation of water helps limit high temperatures in humid clim

Chapter: 9 Problem: 98E

Applied Statistics and Probability for Engineers 6
Problem 98E An article in Fortune (September 21, 1992) claimed that nearly one-half of all engineers continue academic studies beyond the B.S. degree, ultimately receiving either an M.S. or a Ph.D. degree. Data from an article in Engineering Horizons (Spring 1990) indicated that 117 of 484 new engine

Chapter: 1 Problem: 1.74

Chemistry: Atoms First 1
Problem 74AP A cylindrical glass tube 12.7 cm in length is filled with mercury (density = 13.6 g/mL). The mass of mercury needed to fill the tube is 105.5 g. Calculate the inner diameter of the tube (volume of a cylinder of radius r and length h is

Chapter: 9 Problem: 6AYU

Fundamentals of Statistics 4
Problem 6AYU True or False : A data set will always have exactly one mode.

Chapter: 2 Problem: 6

Economics: Concepts and Choices: Student Edition 2008 1
What are the advantages and disadvantages of a market economy?

Chapter: 7 Problem: 7.87

Chemistry for today : general, organic, and biochemistry 9
Ethylene glycol is mixed with water and used as an antifreeze in automobile cooling systems. If a 50% (v/v) solution is made using pure ethylene glycol and pure water, it will have a freezing point of about \(-65^{\circ} \mathrm{C}\). What will happen to the freezing point of the mixture if ethylene

Chapter: 6 Problem: 6.101

Chemistry for today : general, organic, and biochemistry 9
In the kinetic molecular theory of gases, which of the following statements concerning average speeds is true? a. Most of the molecules are moving at the average speed. b. Any given molecule moves at the average speed most of the time. c. When the temperature increases, more of the molecules will mov

Chapter: 21 Problem: 19

Biochemistry 9
MATHEMATICAL Calculate the net ATP yield from oleic acid \(\left(18: 1 \quad \Delta^{9}\right)\). Hint: Remember the step that bypasses acyl-CoA dehydrogenase.

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

×

Register

Sign up for access to all content on our site!

Or login if you already have an account