(a) Show that the system of differential equations for the charge on the capacitor q(t) and the current i 3 (t) in the electrical network shown in Figure 7 6 9 is (b) Find the charge on the capacitor when L 1 h, R 1 1 , R 2 1 , C 1 f, i 3 (0) 0, and q(0) 0 Figure 7 6 9 d R1 C9 Riz E(t) dt diz L dt ...

The Answer is in the image, click to view ...

(a) Show that the system of differential equations for the charge on the capacitor q(t) and the...

Question:

(a) Show that the system of differential equations for the charge on the capacitor q(t) and the current i₃(t) in the electrical network shown in Figure 7.6.9 is

dą R1 C9 + Riz = E(t) dt diz L dt + Ris - 9 = 0.

(b) Find the charge on the capacitor when L = 1 h, R₁ = 1 Ω, R₂ = 1 Ω, C = 1 f,

i₃(0) = 0, and q(0) = 0.

Figure 7.6.9

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

Step by Step Answer:

Related Book For book-img-for-question

A First Course in Differential Equations with Modeling Applications

ISBN: 978-1111827052

10th edition

Authors: Dennis G. Zill

See More Books

Question Posted: Nov 02, 2020 03:35 AM

See More Questions

Show that a system of differential equations that describes the currents i 2 (t) and i 3 (t) in the electrical network shown in the following figure is L di 2 /dt + L di 3 /dt + R 1 i 2 = E(t) -R 1...
(a) Show that the system of differential equations for the currents i 2 (t) and i 3 (t) in the electrical network shown in Figure 7.6.7 is (b) Solve the system in part (a) if R = 5, L 1 = 0.01 h, L 2...
When E = 100 V, R = 10 , and L = 1 h, the system of differential equations for the currents i 1 (t) and i 3 (t) in the electrical network given in Figure 9.4.3 is where i 1 (0) = 0 and i3(0) [1] 0....
A tank of water of length 2 0 m , 1 0 m , and height 5 m is filled with water of density 1 . 2 g / cm 3 . Find the pressure ( in Pa ) of water on one of the walls at a point 5 9 cm above the bottom.
Prove that if f : A B is bijective and g : B C is bijective, then the composite g f is a bijective map of A onto C.
Corporation N, a calendar year taxpayer, incurred a net operating loss in 2015 that it carried back as a deduction against 2013 income. Corporation Ns treasurer filed a claim for a $712,600 refund of...
Standard atmospheric air $\left(T_{0}=59^{\circ} \mathrm{F}, p_{0}=14.7 \mathrm{psia} ight)$ is drawn steadily through a frictionless and adiabatic converging nozzle into an adiabatic, constant...
DeColores Paint Company owns ten trucks that it uses to deliver paint and decorating supplies to builders. On average, each truck returns to the companys single loading dock at a rate of three times...
Crude oil has a storage cost equivalent to 8 per cent per year for all maturities. The spot price of crude oil is $100 per barrel and the 6 and 12 months prices for futures contracts on crude oil are...
Houston North Hospital is trying to improve its image by providing a positive experience for its patients and their relatives. Part of the image program involves providing tasty, inviting patient...
In problem use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. Theorem 7.2.1 1 [s + s - 20
(a) Use the Laplace transform and the information given in Example 3 to obtain the solution (8) of the system given in (7). (b) Use a graphing utility to graph 1 (t) and 2 (t) in the t-plane. Which...
Combine the data from Exercises 19.5 and 19.6 into a two-way contingency table and run the appropriate test. How does the question that the two-way classification addresses differ from the questions...
The process of obtaining funds from private parties such as investors, venture capital investors, or other companies interested in investing in a business is known as Question 3Answer a. loan...
The bacteria geobacter metallireducens was discovered to acquire a net electric charge by consuming electrons as its energy source. These bacteria often transfer electrons by forming long chains that...
Choose an example from your personal experience and explain the energy transfers and transformations that are taking place. Do the energy transfers obey the law of conservation of energy? Explain...
The electric field 6.0 cm from a small charged object is (1400 N/C, 20 above horizontal). Part A What is the magnitude of the electric field 6.0 cm in the same direction from the object? Express your...
1. What is the magnitude of the momentum of a 9.2-kg eagle flying with a speed of 89.4 m/s? 2. A constant frictional force of 31 N acts on an 87-kg skier for 23 s on level snow. What is the speed...
The balance sheet of Confucius Book Shop at April 30, 2014, is as follows: Chennai Cain, the owner of the book shop, admits that he is not an accountant. In fact, he couldn't get the balance sheet to...
Use the graphs of f and g to graph h(x) = (f + g) (x). To print an enlarged copy of the graph, go to MathGraphs.com. 1. 2. y 24 8. 2. -2 -2 4 6
Suppose that among people randomized to placebo, at a 4-month follow-up mean serum lutein level = 6.4 mg/dL with standard deviation = 3 mg/dL. If we presume a normal distribution for serum lutein,...
Suppose that among people randomized to lutein tablets, at a 4-month follow-up the mean serum lutein level = 21 mg/dL with standard deviation = 8 mg/dL. If we presume a normal distribution for...
What is the expected incidence rate of macular degeneration among lutein-treated participants? Suppose for the sake of simplicity that the incidence of macular degeneration is 1% per year among...
If a dance instructor prices her lessons at $60 per student, she will have three students. If she prices her lessons at $50 per student, she will have four students. How much marginal revenue will...
What is the difference between objectives, strategies, and goals? How do these things improve our planning process?
Whatare basis of the segmentation? How would you improve on this strategy in marketing ? What are the basis of the segmentation? How would you improve on this strategy?

(a) Show that the system of differential equations for the charge on the capacitor q(t) and the...

Question:

dą R1 C9 + Riz = E(t) dt diz L dt + Ris - 9 = 0.

Step by Step Answer:

A First Course in Differential Equations with Modeling Applications

Students also viewed these Mathematics questions