If the switch is thrown open after the current in an RL circuit has built up to

Question:

If the switch is thrown open after the current in an RL circuit has built up to its steady-state value I = V/R, the decaying current obeys the equation

which is Equation (5) with V = 0.

a. Solve the equation to express i as a function of t.

b. How long after the switch is thrown will it take the current to fall to half its original value?

c. Show that the value of the current when t = L/R is I/e.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

See More Books

Question Posted: May 02, 2023 02:50 AM

See More Questions

1. Dickens, a citizen and resident of the United Kingdom, occasionally purchases and sells securities on the New York and American Stock Exchanges. He effects his transactions through a stockbroker...
Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...
A 140-mH inductor and a 4.90-Ω resistor are connected with a switch to a 6.00-V battery as shown in Figure P32.27. (a) If the switch is thrown to the left (connecting the battery), how much...
A Ltd acquired a 60% shareholding interest in B Ltd in 20x4. B Ltd acquired a 30% shareholding interest in C Ltd in 20x5. A Ltd acquired a 30% shareholding interest in C Ltd in 20x6. For the year...
Explain two views that you might take relating risk to time. Which is the more appropriate if you are a long-term (over 10 years) investor?
What factors might lead a persons mental model to be inaccurate with respect to how radio transmissions lead people to be able to hear music on a radio?
HVAC energy consumption. A control chart to monitor the installation of a new heating, ventilation, and air conditioning (HVAC) system for a clothing store in Panama City, FL, was presented in...
1: Using variable elimination (by hand!), compute the probability that a student who did well on the test actually understood the material, that is, compute P(+u| + e). 2: For the above Bayesian...
Discuss the Limitations of Internal Controls.
Talbot Industries is evaluating its service level policy for a product that is considered critical to customers. Demand for item average 100 units per day and the lead time form the supplier of the...
A sailboat is running along a straight course with the wind providing a constant forward force of 50 lb. The only other force acting on the boat is resistance as the boat moves through the water. The...
Use Eulers method with dx = 0.05 to estimate y(c) where y is the solution to the given initial value problem. c = 3; dy dx = x - 2y x + 1' y(0) = 1
Most countries effectively impose an infinite tax on organ sales. Indicate whether each statement is true or false, and justify your answer.
Absorption linewidth for an absorbing atomic transition. Consider the curves of power transmission T(w) = exp[-2am(w)L] through an atomic medium with a lorentzian resonant transition, plotted versus...
EXAMPLE 05.04 Z Write the force and the couple in the vector form (with rectangular/Cartesian components). Use C = 180 N-m and P = 500 N O INDIVIDUAL Submission (IS12) D x 400 mm B C 300 mm A 400 mm...
1.XYZ Corporation budgets factory overhead cost of P500,000 for the coming year. Compute for the overhead cost applied to the job. The following data are available: Budgeted annual overhead for...
OP Technologies Manufacturing manufactures small parts and uses an activity-based costing system. Activity Materials Assembling Packaging Est. Indirect Activity Costs $65,000 $242,000 $90,000...
3. Solve Example 3.7 (Bergman, Lavine, Incropera, and DeWitt, 6th Ed., pp. 129-132, or 7th Ed., pp. 145-149, or 8th Ed., pp. 134-138), but use the finite difference method. T T = 30C Insulation-...
Compare results from the two methods and comment on whether the large sample method is appropriate for these nutrients?
Calculate the electrical conductivity of a fiber-reinforced polyethylene part that is reinforced with 20 vol % of continuous, aligned nickel fibers.
Determine whether each integral is convergent or divergent. Evaluate those that are convergent. e/x .3 -1 X |-1
Determine whether each integral is convergent or divergent. Evaluate those that are convergent.
Sketch the region and find its area (if the area is finite). S = {(x, y) | x> 1, 0 < y
Your firm is planning to invest in an automated packaging plant. Harburtin Industries is an all - equity firm that specializes in this business. Suppose Harburtin ' s equity beta is 0 . 8 7 , the...
Ned Allen opened a medical practice in Los Angeles, California, and had the following transactions during the month of January. (Click the icon to view the January transactions.) Journalize the...
do you need more information or are you working on this? Irene Watts and John Lyon are forming a partnership to which Watts will devote one- half time and Lyon will devote full time. They have...

If the switch is thrown open after the current in an RL circuit has built up to

Question:

L + Ri = 0, dt

Step by Step Answer:

a The differential equation is L didt R i 0 Divide both sides by L didt RL i 0 This ...View the full answer

Thomas Calculus Early Transcendentals

Students also viewed these Mathematics questions