Question

In: Physics

Consider the combination of capacitors shown in the diagram, where C1 = 3.00uF , C2 = 11.0uF , C3 = 3.00uF , and C4 = 5.00uF .

Consider the combination of capacitors shown in the diagram, where C1 = 3.00uF , C2 = 11.0uF , C3 = 3.00uF , and C4 = 5.00uF .

Find the equivalent capacitance CA of the network of capacitors.

Express your answer in microfarads.

Solutions

Expert Solution

in series \(\frac{1}{C_{\mathrm{eq}}}=\frac{1}{C_{1}}+\frac{1}{C_{2}}\)

and in parallel \(C_{\mathrm{eq}}=C_{1}+C_{2}\)

equivalent capacitance = here \(\mathrm{c} 3\) and \(\mathrm{c} 4\) are parallel and combined parallel to \(\mathrm{C} 2\),

\((\mathrm{C} 2+\mathrm{C} 3+\mathrm{C} 4)\) in series with \(\mathrm{C} 1\)

\(=19\) in series with \(3=19^{*} 3 /(19+3)\)

\(=57 / 22\)

Related Solutions

U(C1, C2, C3, C4, C5) = C1∙C2∙C3∙C4∙C5 As a mathematical function, does U have a maximum...
U(C1, C2, C3, C4, C5) = C1∙C2∙C3∙C4∙C5 As a mathematical function, does U have a maximum or minimum value? What values of Ci correspond to the minimum value of U? What values of Ci correspond to the maximum value of U? Do these values of Ci make sense from an economic standpoint? Now let us connect the idea of economic utility to actual dollar values. To keep the values more manageable, we will use household income rather than the entire...
U(C1, C2, C3, C4, C5) = C1∙C2∙C3∙C4∙C5 As a mathematical function, does U have a maximum...
U(C1, C2, C3, C4, C5) = C1∙C2∙C3∙C4∙C5 As a mathematical function, does U have a maximum or minimum value? What values of Ci correspond to the minimum value of U? What values of Ci correspond to the maximum value of U? Do these values of Ci make sense from an economic standpoint? Now let us connect the idea of economic utility to actual dollar values. To keep the values more manageable, we will use household income rather than the entire...
Consider the following cash flows: C0 / C1/ C2 /C3 /C4 ? $ 27 / +...
Consider the following cash flows: C0 / C1/ C2 /C3 /C4 ? $ 27 / + $ 24 / + $ 24 / + $ 24 / ? $ 46 a. Which two of the following rates are the IRRs of this project? (You may select more than one answer. Single click the box with the question mark to produce a check mark for a correct answer and double click the box with the question mark to empty the box...
Calculate the values "c1, c2, c3, c4, c5" with superposition 6(c1) – (c3)=50 -3(c1) + 3(c2)=0...
Calculate the values "c1, c2, c3, c4, c5" with superposition 6(c1) – (c3)=50 -3(c1) + 3(c2)=0 9(c3) – (c2)= 160 -(c2) – 8(c3) – 2(c5) + 11(c4)=60 -3(c1) – (c2) + 4(c5)=10
Consider the following information: Cash Flows ($) Project C0 C1 C2 C3 C4 A –6,300 2,300...
Consider the following information: Cash Flows ($) Project C0 C1 C2 C3 C4 A –6,300 2,300 2,300 2,000 0 B –1,600 0 1,000 3,300 4,300 C –3,700 2,300 1,000 1,800 1,300 a. What is the payback period on each of the above projects? (Round your answers to 2 decimal places.) Project Payback Period A year(s) B year(s) C year(s) b. Given that you wish to use the payback rule with a cutoff period of two years, which projects would you...
Consider the following projects: Cash Flows ($) Project C0 C1 C2 C3 C4 C5 A −2,000...
Consider the following projects: Cash Flows ($) Project C0 C1 C2 C3 C4 C5 A −2,000 2,000 0 0 0 0 B −4,000 2,000 2,000 5,000 2,000 2,000 C −5,000 2,000 1,300 0 2,000 2,000 a. If the opportunity cost of capital is 12%, which project(s) have a positive NPV? Positive NPV project(s) Project A Project B Project C Projects A and B Projects A and C Projects B and C Projects A, B, and C No project b. Calculate...
Consider the following projects: Cash Flows ($) Project C0 C1 C2 C3 C4 C5 A −2,500...
Consider the following projects: Cash Flows ($) Project C0 C1 C2 C3 C4 C5 A −2,500 2,500 0 0 0 0 B −5,000 2,500 2,500 5,500 2,500 2,500 C −6,250 2,500 2,500 0 2,500 2,500 a. If the opportunity cost of capital is 9%, which project(s) have a positive NPV? Positive NPV project(s) Project A Project B Project C Projects A and B Projects A and C Projects B and C Projects A, B, and C No project b. Calculate...
Consider the following information: Cash Flows ($) Project C0 C1 C2 C3 C4 A –6,200 2,200...
Consider the following information: Cash Flows ($) Project C0 C1 C2 C3 C4 A –6,200 2,200 2,200 2,900 0 B –1,500 0 1,000 3,200 4,200 C –3,800 2,200 1,300 1,700 1,200 a. What is the payback period on each of the above projects? (Round your answers to 2 decimal places.) Project Payback Period A year(s) B year(s) C year(s) b. Given that you wish to use the payback rule with a cutoff period of two years, which projects would you...
Consider the following projects: Cash Flows ($) Project C0 C1 C2 C3 C4 C5 A −2,800...
Consider the following projects: Cash Flows ($) Project C0 C1 C2 C3 C4 C5 A −2,800 2,800 0 0 0 0 B −5,600 2,800 2,800 5,800 2,800 2,800 C −7,000 2,800 2,500 0 2,800 2,800 If the opportunity cost of capital is 12%, which project(s) have a positive NPV? Positive NPV Projects Calculate the payback period for each project. Project A years Project B    years Project C    years Which project(s) would a firm using the payback rule accept...
Cash flows of Project A and B are as following: Project C0 C1 C2 C3 C4...
Cash flows of Project A and B are as following: Project C0 C1 C2 C3 C4 C5 A -9000 2000 3000 4000 5000 6000 B -11000 2000 3000 4000 5000 6000          Compute the payback periods for the following two projects.          Payback period for A = _________ years; for B __________years          If the discount rate is 10%, what is the discounted payback period?          Discounted payback period for A=_________ years; for B __________years
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT