To verify experimentally the Superposition theorem which is an analytical technique of determining currents in a...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
To verify experimentally the Superposition theorem which is an analytical technique of determining currents in a circuit with more than one emf source. THEOREM: In a linear circuit containing multiple independent sources and linear elements (e.g. resistors, inductors, capacitors) the voltage across (or the current through) any element when all the sources are acting simultaneously may be obtained by adding algebraically all the individual voltages (or the currents) caused by each independent source acting alone, with all other sources deactivated. An independent voltage source is deactivated (made zero) by shorting it and an independent current source is deactivated (made zero) by open circuiting it. However, if a dependent source is present it must remain active during the superposition process. APPARATUS : ➤Two DC power supplies. One multimeter. PROCEDURES : 1) Set up the circuit as in Fig. 1. 5V +1E E1 R1 120 R3 330 R2 470 TV E2 When E2 active: W E1 120 No. of Obs. 1. 2. Ri (ohms) R3 10092 1.2ΚΩ 230 470 N 2) Apply 5 volts from E₁ and 7 volts from E2. 3) Measure the current I and record it in the given table. 4) Render E2 inactive (keeping E1 active) & measure the current I in the branch R3. 5) Render E1 inactive (keeping E2 active) & Measure the current I" in the branch R3. 6) Verify if I= 1 + 1" which would validate the superposition theorem for this particular circuit. TABLE: R₂ R3 12 with both (ohms) (ohms) E1 and E2 active (amps) 22092 47092 2.2ΚΩ | 3.3ΚΩ When El active: E1 120 3/4 Superposition Principle 3/4 Mesh Current Method 24 Node Voltage Method 470 12 with only E1 active (amps) 12" with only E2 active (amps) REPORT: 1. Show results in tabular form. 2. Comment on the obtained results and discrepancies (if any). CAUTIONS: 1. Don't switch on the supply until the circuit has been checked by your teacher. 2. Take care of the reading of the apparatus. 3. Take care of any bare circuit element in energized condition. QUESTION: 12/+ 1. Define linear element, nonlinear element, linear circuit & nonlinear circuit. 2. "Although Superposition Principle can be used to determine voltage and current in a linear circuit, it cannot be used to determine power." --- Elucidate the statement. 3. Why an independent voltage source is deactivated by short circuiting it and an independent current source is deactivated by open circuiting it? 4. Find analytically the current I using for E1 = 5 volts, E2= 7 volts and R1, R2, R3 at their values recorded in the observation of the Table shown. To verify experimentally the Superposition theorem which is an analytical technique of determining currents in a circuit with more than one emf source. THEOREM: In a linear circuit containing multiple independent sources and linear elements (e.g. resistors, inductors, capacitors) the voltage across (or the current through) any element when all the sources are acting simultaneously may be obtained by adding algebraically all the individual voltages (or the currents) caused by each independent source acting alone, with all other sources deactivated. An independent voltage source is deactivated (made zero) by shorting it and an independent current source is deactivated (made zero) by open circuiting it. However, if a dependent source is present it must remain active during the superposition process. APPARATUS : ➤Two DC power supplies. One multimeter. PROCEDURES : 1) Set up the circuit as in Fig. 1. 5V +1E E1 R1 120 R3 330 R2 470 TV E2 When E2 active: W E1 120 No. of Obs. 1. 2. Ri (ohms) R3 10092 1.2ΚΩ 230 470 N 2) Apply 5 volts from E₁ and 7 volts from E2. 3) Measure the current I and record it in the given table. 4) Render E2 inactive (keeping E1 active) & measure the current I in the branch R3. 5) Render E1 inactive (keeping E2 active) & Measure the current I" in the branch R3. 6) Verify if I= 1 + 1" which would validate the superposition theorem for this particular circuit. TABLE: R₂ R3 12 with both (ohms) (ohms) E1 and E2 active (amps) 22092 47092 2.2ΚΩ | 3.3ΚΩ When El active: E1 120 3/4 Superposition Principle 3/4 Mesh Current Method 24 Node Voltage Method 470 12 with only E1 active (amps) 12" with only E2 active (amps) REPORT: 1. Show results in tabular form. 2. Comment on the obtained results and discrepancies (if any). CAUTIONS: 1. Don't switch on the supply until the circuit has been checked by your teacher. 2. Take care of the reading of the apparatus. 3. Take care of any bare circuit element in energized condition. QUESTION: 12/+ 1. Define linear element, nonlinear element, linear circuit & nonlinear circuit. 2. "Although Superposition Principle can be used to determine voltage and current in a linear circuit, it cannot be used to determine power." --- Elucidate the statement. 3. Why an independent voltage source is deactivated by short circuiting it and an independent current source is deactivated by open circuiting it? 4. Find analytically the current I using for E1 = 5 volts, E2= 7 volts and R1, R2, R3 at their values recorded in the observation of the Table shown.
Expert Answer:
Answer rating: 100% (QA)
Define linear element nonlinear element linear circuit nonlinear circuit Ans A linear element is a circuit element whose currentvoltage characteristics can be described by a straight line A nonlinear ... View the full answer
Posted Date:
Students also viewed these electrical engineering questions
-
A variable capacitor in a circuit with a 120-V, 60-Hz source initially has a capacitance of 0.25 f. The capacitance is then increased to 0.40 F. (a) What is the percentage change in the capacitive...
-
With a single 150-mH inductor in a circuit with a 60-Hz voltage source, a current of 1.6 A is measured on an ac ammeter. (a) What is the rms voltage of the source? (b) What is the phase angle between...
-
In a circuit with impressed voltage E having resistance R, inductance L, and capacitance C in parallel, the current i satisfies the differential equation Suppose C = 0.3 farads, R = 1.4 ohms, L = 1.7...
-
Solve each system using the substitution method. If a system is inconsistent or has dependent equations, say so. -5x + 2y = -2 x + 6y = 26
-
What are subsequent events and why are they reported in financial statements? Describe the subsequent event Canadian Tire reported in its 2011 statements. What is the relevance of this event to...
-
A sled is given a push at the top of a hill. Is it possible for the sled to cross a hump in the hill that is higher than its starting point under these circumstances? Explain.
-
Based upon your reading of the chapter, specifically a review of the financial statements of Amazon.com, identify five key indicators of performance (KPIs) for Amazon.com. Explain why you selected...
-
Cuevas Co. is in the process of developing a revolutionary new product. A new division of the company was formed to develop, manufacture, and market this new product. As of year-end (December 31,...
-
ic had 800 million shares of common stock authorized, 700 million in issue, and 650 million outstanding. Its equity account was as follows: (figures rounded to the nearest million) ITEM Value Common...
-
Using OLAP Query 1 shown in Figure 9.11 (based on data from Figure 9.7) as a starting point, give an example that illustrates a slice and dice operation.
-
8 (3 pts.) Doughnut. A Krispy Kreme cream-filled donut has 280 Food Calories. There are about 4200 Joules / Food Calorie. Suppose you eat this doughnut and want to "burn" this energy by climbing...
-
Grace bought 500 shares of WeedBHere at $35 per share. Over the next two years, she received $5 per share in dividend payments. At the end of the two years, Grace sold these shares for $50 each. What...
-
Imagine that you are Leila Velez, the CEO of Beleza Natural, and you have to decide how to grow the company to reach your goal. What would you do ? If you decided to make Beleza\'s products available...
-
Recommend and justify the practical steps and initiatives the CEO of McDonalds can undertake to ensure all staff are involved in the process of their strategic plan and corporate objectives.
-
a) You and a friend are on opposite sides of a river, and you want to measure the width of the river using string and a tape measure. Unfortunately, there are obstacles in the way, so you aren't able...
-
An organization leader that has influenced me was an old supervisor of mines, Diane. She always had a great attitude towards the clients and the staff. Diane knew how to work well with everyone, even...
-
Difference in NPV $ 36,281.81 X
-
When you weigh yourself on good old terra firma (solid ground), your weight is 142 lb. In an elevator your apparent weight is 121 lb. What are the direction and magnitude of the elevator's...
-
The amounts of time (in months) that 16 stars of The Bachelorette and their chosen partner stayed together as of April 2021 are listed. 208 12 3 12 18 94 3 75 8 36 75 20 24 045
-
The six top-earning states in 2019 by median household income are listed. 1. Maryland 2. New Jersey 3. Hawaii 4. Massachusetts 5. Connecticut 6. Alaska
-
The ages of the Supreme Court justices as of April 7, 2021 In Exercises 25 and 26, find the range, mean, variance, and standard deviation of the population data set. 66 56 72 49 82 71 66 60 53
Study smarter with the SolutionInn App