Question

In the circuit shown in figure, ? = 10.0 V, R? = 5.00 ?, R? = 10.0 ?, and L = 5.00 H. a) Switch S is closed at t = 0. Just after the switch is closed, what is the potential difference across R? and across the inductor L? b) At some time t after the switch S is closed, the current in the inductor is increasing at a rate of di?/dt = 1.00 A/s. At this instant, what are the current i? through R? and the current i? through R?? c) After the switch has been closed a long time, it is opened again. Just after it is opened, what is the potential difference across R? and across L? d) In part c, how much time elapses before the current drops to 1/2 of its initial value? 

          In the circuit shown in figure, ? = 10.0 V, R? = 5.00 ?, R? = 10.0 ?, and L = 5.00 H. a) Switch S is closed at t = 0. Just after the switch is closed, what is the potential difference across R? and across the inductor L? b) At some time t after the switch S is closed, the current in the inductor is increasing at a rate of di?/dt = 1.00 A/s. At this instant, what are the current i? through R? and the current i? through R?? c) After the switch has been closed a long time, it is opened again. Just after it is opened, what is the potential difference across R? and across L? d) In part c, how much time elapses before the current drops to 1/2 of its initial value?
Show moreā€¦
In the circuit shown in figure, ? = 10.0 V, R? = 5.00 ?, R? = 10.0 ?, and L = 5.00 H. a) Switch S is closed at t = 0. Just after the switch is closed, what is the potential difference across R? and across the inductor L? b) At some time t after the switch S is closed, the current in the inductor is increasing at a rate of di?/dt = 1.00 A/s. At this instant, what are the current i? through R? and the current i? through R?? c) After the switch has been closed a long time, it is opened again. Just after it is opened, what is the potential difference across R? and across L? d) In part c, how much time elapses before the current drops to 1/2 of its initial value?

Added by Thomas C.

Close

University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
In the circuit shown in figure, Īµ = 10.0 V, Rā‚ = 5.00 Ī©, Rā‚‚ = 10.0 Ī©, and L = 5.00 H. a) Switch S is closed at t = 0. Just after the switch is closed, what is the potential difference across Rā‚ and across the inductor L? b) At some time t after the switch S is closed, the current in the inductor is increasing at a rate of diā‚‚/dt = 1.00 A/s. At this instant, what are the current iā‚ through Rā‚ and the current iā‚‚ through Rā‚‚? c) After the switch has been closed a long time, it is opened again. Just after it is opened, what is the potential difference across Rā‚ and across L? d) In part c, how much time elapses before the current drops to 1/2 of its initial value?
Close icon
Play audio
Feedback
Powered by NumerAI
Jennifer Stoner David Collins
Ivan Kochetkov verified

Madhur L and 82 other subject Physics 101 Mechanics educators are ready to help you.

Ask a new question
*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs
*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.
*

Recommended Videos

-
in-the-circuit-shown-in-fig-3027-quad-mathcale600-mathrmv-r_1-400-omega-r_2250-omega-and-l-0300-math

In the circuit shown in Fig. $30.27, \quad \mathcal{E}=60.0 \mathrm{V}, R_{1}=$ $40.0 \Omega, R_{2}=25.0 \Omega,$ and $L=$ $0.300 \mathrm{H} .$ Switch $\mathrm{S}$ is closed at $t=0 .$ Just after the switch is closed, (a) what is the potential difference $v_{a b}$ across the resistor $R_{1} ;(b)$ which point, $a$ or $b,$ is at a higher potential; (c) what is the potential difference $v_{c d}$ across the inductor $L ;$ (d) which point, $c$ or $d,$ is at a higher potential? The switch is left closed a long time and then opened. Just after the switch is opened, (e) what is the potential difference $v_{a b}$ across the resistor $R_{1} ;(f)$ which point, $a$ or $b,$ is at a higher potential; (g) what is the potential difference $v_{c d}$ across the inductor $L_{i}$ (h) which point, $c$ or $d,$ is at a higher potential?

University Physics with Modern Physics

in-the-circuit-diagrammed-in-figure-p3221-assume-the-switch-has-been-closed-for-a-long-time-interval-71034

In the circuit diagrammed in Figure P32.21, assume the switch has been closed for a long time interval and is opened at $t=0 .$ Also assume $R=4.00 \Omega, L=1.00 \mathrm{H},$ and $\mathcal{E}=10.0 \mathrm{V}$ . (a) Before the switch is opened, does the inductor behave as an open circuit, a short circuit, a resistor of some particular resistance, or none of those choices? (b) What current does the inductor carry? (c) How much energy is stored in the inductor for $t < 0$ ? (d) After the switch is opened, what happens to the energy previously stored in the inductor? (e) Sketch a graph of the current in the inductor for $t \geq 0$ . Label the initial and final values and the time constant.

Penny R.
in-the-circuit-shown-in-fig-mathrmp-3069-mathcale600-mathrmv-r_1400-omega-r_2250-omega-and-l0300-mat

In the circuit shown in Fig. $\mathrm{P} 30.69, \mathcal{E}=60.0 \mathrm{V}$ $R_{1}=40.0 \Omega, R_{2}=25.0 \Omega,$ and $L=0.300 \mathrm{H}$ . (a) Switch $\mathrm{S}$ is closed. At some time $t$ afterward, the current in the inductor is increasing at a rate of $d i / d t=50.0 \mathrm{A} / \mathrm{s} .$ At this instant, what are the current $i_{1}$ through $R_{1}$ and the current $i_{2}$ through $R_{2} ?$ (Hint: Analyze two separate loops: one containing $\mathcal{E}$ and $R_{1}$ and the other containing $\mathcal{E}, R_{2},$ and $L$ ) (b) After the switch has been closed a long time, it is opened again. Just after it is opened, what is the current through $R_{1} ?$

University Physics with Modern Physics

*

Recommended Textbooks

-
University Physics with Modern Physics

University Physics with Modern Physics

Hugh D. Young 14th Edition
achievement 1,430 solutions
Physics: Principles with Applications

Physics: Principles with Applications

Douglas C. Giancoli 7th Edition
achievement 1,306 solutions
Fundamentals of Physics

Fundamentals of Physics

David Halliday, Robert Resnick , Jearl Walker 10th Edition
achievement 1,938 solutions
*

Transcript

-
00:01 Hi, let's see potential difference across r1 equal to 10 .0 v.
00:08 Just after the switch is closed, the inductor acts as a open circuit and potential difference across inductor is 10 .0 v.
00:32 Next, the current through r1 that is i1 equal to 10 by 5 that is equal to 2 .00 ampere.
00:40 So, current through r that is i2 equal to 10 minus l into di by dt divided by r2 that is equal to 10 minus 5 into 1 divided by 10 that is equal to 0 .500 ampere.
01:02 Next, after the switch is opened, current in the circuit that is i equal to vb by r2 that is equal to 10 by 10 which is 1 ampere.
01:19 So, potential drop across r1 that is v1 equal to i into r1 which is 1 into 5 that is equal to 5v.
01:29 Now, potential drop across that is l equal to potential across r1 plus r2 that is 1 into 5 plus 1 into 10 that is equal to 15 .0 v...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Join the community

18,000,000+

Students on Numerade

Trusted by students at 8,000+ universities

Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever