A circuit consists of a resistance R 1 and an inductance L in parallel connected in series with a second resistance R 2 When a voltage V of frequency 2 is applied to the circuit the complex impedance Z is given by Show that if R 1 varies from zero to infinity the locus of Z on the Argand diagram is...

However setting Z x jy 1 1 1 R ZR jl 1 1 R 0 Re 0 Z ...

A circuit consists of a resistance R 1 and an inductance L in parallel connected in series

Question:

A circuit consists of a resistance R₁ and an inductance L in parallel connected in series with a second resistance R₂. When a voltage V of frequency ω/2π is applied to the circuit the complex impedance Z is given by

1 Z-R 1 R -13 jwL

Show that if R₁ varies from zero to infinity the locus of Z on the Argand diagram is part of a circle and find its centre and radius.

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

Step by Step Answer:

Related Book For book-img-for-question

Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

See More Books

Question Posted: Jan 05, 2024 09:13 AM

See More Questions

A circuit consists of a capacitor with capacitance C and a coil with active resistance R and inductance L connected in parallel. Find the impedance of the circuit, at frequency (o of alternating...
A circuit consists of a capacitor with capacitance C and a coil of inductance L connected in series, as well as a switch and a resistance equal to the critical value for this circuit. With the switch...
The portfolio of stock that comprises the ASX200 index is currently worth $5000. The continuously compounded interest rates on Australian government bonds is 1.5% per annum for each of the next five...
Do you agree or disagree with the basic assumptions of Herzbergs dual-structure theory? Why?
Heads Up Company was started several years ago by two hockey instructors. The companys comparative balance sheets and income statement follow, along with additional information. Additional Data: a....
Describe the objectives of tort law.
You are auditing the records of Xiao Yu Corporation. The company took a physical inventory under your observation. However, the valuations have not been completed. The records of the company provide...
A 3.5-kg cannon on wheels is loaded with a 0.0527-kg ball. The cannon and ball are initially moving forward with a speed of 1.27 m/s. The cannon is ignited and launches a 0.0527-kg ball forward with...
Writing ln[(x + jy + a)/(x + jy a)] = u + jv, show that (a) x + y - 2ax coth u + a = 0 (b) x = a sinh ul(cosh u cos v) (c) |x + jy| = a(cosh u + cos v)/(cosh u - cos v)
(a) Express cos 6 as a polynomial in cos . (b) Given z = cos + j sin show, by expanding (z + 1/z) 5 (z 1/z) 5 or otherwise, that sin 0 cos0 = 1 -(sin 100 5 sin 60 2 + 10 sin 20)
Examine the types, development, and uses of teams.
What HR strategies can you implement to retain top talent throughout the talent management lifecycle?
God's relationship with Israel was unique and exclusive, how does theology apply to other people and land today?
For each basic block given below, rewrite it in single- assignment form, and then draw the data flow graph for that form. a) r = a+b-c; s=2*r; t=b-d; r=d+e; (b) w = a-b+c; x=w-d; y = x - z; w= a+b-c;...
For both scenarios what type of ppe could be useful in deterring temperature extremes and what theories of any could be applied to an accident or incident involving temperature extremes? 1. Put...
Duane, a licensed life insurance agent with many years of experience with high net worth individuals, meets a referral for the first time. The referral, named Darya, owns a retail exporting company....
If your entire portfolio is now composed of stock A and you can add some of only one stock to your portfolio, would you choose (explain your choice): a. B. b. C. c. D. d. Need more data. The...
Air pollution generated by a steel mill is an example of a) a positive production externality. b) a negative production externality. c) a public good. d) the free-rider problem. State and local taxes...
The molar heat capacity C P,m of SO 2 (g) is described by the following equation over the range 300 K < T < 1700 K: In this equation, T is the absolute temperature in kelvin. The ratios T/K ensure...
Use the relation (U/V ) T = T(P/T) V P and the cyclic rule to obtain an expression for the internal pressure, (0U/0V )T , in terms of P, , T, and .
A mass of 34.05 g of H 2 O(s) at 273 K is dropped into 185 g of H 2 O(l) at 310.K in an insulated container at 1 bar of pressure. Calculate the temperature of the system once equilibrium has been...
Covington Corporation's comparative balance sheet for current assets and liabilities was as follows: Dec. 31, 20Y2 Dec. 31, 20Y1 Accounts receivable $16,500 $15,800 Inventory 79,000 79,700 Accounts...
Typical consumer's basket: 20 pizzas, 10 compact discs. Find the CPI and Inflation rate below data if the base year is 2002. prices: pizza CDs 2002 $10 $15 2003 $11 $15 2004 $12 $16 2005 $13 $15
3. Suppose that you are interested in choosing a set of investments {1,,7} using 0 1 variables. Model the following constraints using only linear equations (obs: operators such as or or if can not be...

A circuit consists of a resistance R 1 and an inductance L in parallel connected in series

Question:

1 Z-R 1 R -13 jwL

Step by Step Answer:

However setting Z x jy 1 1 1 R ZR jl 1 1 R 0 Re 0 Z...View the full answer

Modern Engineering Mathematics

Students also viewed these Sciences questions