Prove that the voltage potential at node i due to a unit current source at node j

Question:

Prove that the voltage potential at node i due to a unit current source at node j is the same as the voltage potential at node j due to a unit current source at node i. Can you give a physical explanation of this reciprocity relation?

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

Step by Step Answer:

Related Book For book-img-for-question

Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

See More Books

Question Posted: Jun 17, 2016 08:55 AM

See More Questions

Prove that a) b) c) d) e) L{1}(s) =-, s>0 Lie" }(s) =-a, , S a, a E R Cicos(b))>0, beR L{sin(bt))(s) s > 0, b E R s2+b2.
(a) Find the voltage potentials at all the nodes and the currents along the wires of the following trees if the bottom node is grounded and a unit current source is introduced at the top node. (i)...
The nodes in an electrical network lie on the vertices (1/n, 1/n) for - n i, j n in a square grid centered at the origin: the wires run along the grid lines. The boundary nodes, when x or y = 1,...
State with reasons, whether the following statements are true or false : (i) Overhauling expenses for the engine of motor car to get better fuel efficiency is revenue expenditure. (ii) Depreciation...
Cummings ordered two model X Super Fidelity speakers from Jamestown Wholesale Electronics, Inc. Jamestown shipped the speakers via United Parcel Service, C.O.D. (collect on delivery), although...
Identify and describe the details of payroll reports, records, and procedures
There is an increasing interest in distributed, servant, authentic, ethical and respectful leadership as an appropriate response to leading in turbulent economic times. L01
Holly Renfro contributed a patent, accounts receivable, and $20,000 cash to a partnership. The patent had a book value of $8,000. However, the technology covered by the patent appeared to have...
at 1 100% Tables Columns Show Navigation Gallery Toolbox Zoom Document Elements Quick Tables Help Charts SmartArt Graphics WordArt Harris Systems specializes in servers for workgroup, e-commerce, and...
Do interruptions while you are working reduce your productivity? According to a University of California-Irvine study, businesspeople are interrupted at the rate of approximately 5 times per hour...
(a) Write down the equilibrium equations for a network that contains both batteries and current sources. (b) Formulate a general superposition principle for such situations.
What is the analog of condition (6.33) for a disconnected graph?
7.6 The following information relates to the activities of F. Head, a trader, for the year ended 30 June 20X6. 1. Bad debts written off 1,500. Purchases 482,000. 2. Cash received from customers...
Matthew Kennedy of Urbana, Ohio, is single and has been working as an admissions counselor at a university for five years. Matthew owns a home valued at $250,000 on which he owes $135,000. He has a...
Question: A group of employees of Unique Services will be surveyed about a new pension plan. In-depth interviews with each employee selected in the sample will be conducted. The employees are...
On January 1, 2020, the following accounts appeared in the general ledger of Ace's Repair Shop: Cash P10,500 Accounts receivable 8.400 Furniture 12,600 Repair Equipment 54,000 Accounts Payable 22,000...
Your maths problem x+3x-3 Find solutions on the web Q +1 XII
5. Data for the payroll for the Dos Company for the month of April are shown below: Total gross earnings Social security taxes withheld Phil Health taxes withheld Employees income tax withheld...
Download the article "Culture and Economics" from Raquel Fernandez's website (http:// sites.google.com/site/raquelfernandezsite/ research). What does she mean by the epidemiological approach to...
Compare and contrast licensing and subcontracting.
When a bus service reduces fares, a particular trip from New York City to Albany, New York, is very popular. A small bus can carry four passengers. The time between calls for tickets is exponentially...
The time between arrivals of small aircraft at a county airport is exponentially distributed with a mean of one hour. What is the probability that more than three aircraft arrive within an hour?
Continuation of Exercise 4-88. (a) If 30 separate one-hour intervals are chosen, what is the probability that no interval contains more than three arrivals? (b) Determine the length of an interval of...
Nelo Partnership had three partners, whose capital balances on June 30 were as follows: Jack $50,000, Andy $35,000, Nick $22,000. The profit-sharing ratio is 6:4:2 (Jack, Andy, Nick). On July 1,...
Alex buys a Blu-ray disc costing $14.49. Use the table below to find the sales tax on this item. Amount of Sale ($) Tax ($) 13.70 13.89 0.69 13.90 14.09 0.70 14.10 14.29 0.71 14.30 14.49 0.72 14.50...
Show partial income statements through gross margin for all three methods, assuming both products are further processed into Current Attempt in Progress It's mind - boggling the number of products...

Prove that the voltage potential at node i due to a unit current source at node j

Question:

Step by Step Answer:

The resistivity matrix K is symmetric and so is its inverse The i ...View the full answer

Applied Linear Algebra

Students also viewed these Linear Algebra questions