Concept explainers
(a)
The equivalent resistance of
(a)
Answer to Problem 18SP
Solution:
Explanation of Solution
Given data:
The resistance of the first resistor is
The resistance of the second resistor is
Formula used:
The expression for equivalent resistance in series is written as:
Here,
Explanation:
Recall the expression for equivalent resistance in series.
Substitute
Conclusion:
The equivalent resistance is
(b)
The equivalent resistance of
(b)
Answer to Problem 18SP
Solution:
The equivalent resistance is
Explanation of Solution
Given data:
The resistance of the first resistor is
The resistance of the second resistor is
Formula used:
The expression for equivalent resistance in parallel is written as:
Here,
Explanation:
Recall the expression for equivalent resistance in parallel.
Substitute
Conclusion:
The equivalent resistance is
Want to see more full solutions like this?
Chapter 28 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
- When resistors 1 and 2 are connected in series, the equivalent resistance is 17.2 Ω. When they are connected in parallel, the equivalent resistance is 3.06 Ω. What are (a) the smaller resistance and (b) the larger resistance of these two resistors?arrow_forwardConsider the circuit shown in the figure below, where R₁ = 8.00, R₂ = 9.00 , and = 7.00 V. 10.0 Ω 2.00 Ω 5.00 Ω www E R₁ www (a) Find the voltage (in V) across R₁. V R₂ www (b) Find the current (in A) in R₁. A (i)arrow_forwardΟ 6.00 2 Ο 18.0 Ω Ο Ω 52.0 Ω Ο 3.00 Ω Ο 18.8 Ω Ο 12.0 Ω 9.00 Ω Μ 8.00 Ω 4.00 Ω 2.00 Aarrow_forward
- A battery has an emf of 10.0 V with an internal resistance of 0.0400 Ω. Its terminals are connected to a network of resistors with equivalent resistance of 2.00 Ω. What is the power delivered to the network? 49.0 W 47.0 W 50.0 W 48.0 Warrow_forwardIn the figure R1 = 110 Ω, R2 = R3 = 64.0 Ω, R4 = 110 Ω, and the ideal battery has emf ε = 6.00 V. (a) What is the equivalent resistance? What is i in (b) resistance 1, (c) resistance 2, (d) resistance 3, and (e) resistance 4?arrow_forwardWhen resistors 1 and 2 are connected in series, the equivalent resistance is 21.2 Q. When they are connected in parallel, the equivalent resistance is 4.08 02. What are (a) the smaller resistance and (b) the larger resistance of these two resistors? (a) Number Mi (b) Number i Units Unitsarrow_forward
- The following equations describe an electric circuit. −I1(247 Ω) + 5.80 V − I2(381 Ω) = 0 I2(381 Ω) + I3(150 Ω) − 3.10 V = 0 I1 + I3 − I2 = 0 (a) Draw diagram of the circuit. Identify the physical meaning of each unknown on your drawing. (b) Calculate the unknowns (in mA). With respect to the 5.8 V battery, consider current moving toward the positive pole as positive and current moving toward the negative pole as negative. I1= ????? mA I2= ????? mA I3= ????? mAarrow_forward(a) Three 5.30 Ω resistors are connected in series to a 20.0 V battery. What is the equivalent resistance (in Ω) of the circuit? What is the current (in A) in each resistor? (b) Three other 5.30 Ω resistors are all connected in parallel across a second 20.0 V battery. What is the equivalent resistance (in Ω) of this circuit? What is the current (in A) in each resistor in this circuit?arrow_forwardConsider the RC circuit in which the: electromotive force = 50 volts resistance 2 ohms capacitance = 10-2 farads If the initial charge is zero, find the charge after 0.02 second, correct to four decimal places. O 0.9984 O 0.0982 O 0.0594 O 0.1648 O 0.3161 O 0.0412 O 0.5599 = O 0.0993arrow_forward
- What is the total resistance of two resistors, R1 = 4.6 Ω and R2 = 7.9 Ω when they are connected in series?arrow_forwardTwo 50 μF capacitor are connected in series. The equivalent capacitance of the combination isarrow_forwardA circuit consisting of 5 resistors is shown in the graph. Their resistances are R1 = 16 Ω, R2 = 55 Ω, R3 = 97 Ω, R4 = 63 Ω, and R5 = 23 Ω, and the emf of the battery is ε = 5.5 V. Suppose the internal resistance of the battery is zero. Express the current I through R1 in terms of the emf ε and the equivalent resistance R.arrow_forward
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON