Concept explainers
For the circuit shown in Fig. 29-6, find the current in the 0.96-
Fig. 29-6
The current in the
Answer to Problem 7SP
Solution:
Explanation of Solution
Given data:
Refer to the circuit given in Fig. 29-6.
Formula used:
Kirchhoff’s loop law: The algebraic sum of the potential change in a closed circuit is zero.
In a parallel combination, the voltage remains constant and the current is distributed. In a series combination, the current remains constant and the voltage is distributed.
Write the expression for potential difference from Ohm’s law.
Here,
Explanation:
Consider the following circuit shown in Figure 1.
Apply loop rule to the loop abcda yields, in volts.
Apply loop rule to loop adefa yields, in volts.
Solve further for
Substitute
Thus, this yields that
Therefore, the current in the
Calculate the current
Substitute
Thus, this yields that
Calculate the current flow in the branch ad in Figure 2.
The value of
Calculate the terminal voltage of the battery, whose emf is
Substitute
Thus, the terminal voltage of the battery, whose emf
Calculate the terminal voltage of the battery, whose emf is
Substitute
Thus, the terminal voltage of the battery, whose emf
Conclusion:
Therefore, the current in the
Want to see more full solutions like this?
Chapter 29 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
- Show that if two resistors R1and R2are combined and one is much greater than the other (R 1 >>R 2 ): (a) Their series resistance is very nearly equal to the greater resistance R 1. (b) Their parallel resistance is very nearly equal to smaller resistance R2.arrow_forwardFind the voltage drop across the resistor R2. R1 = 50 Ω, R2 = 5 Ω, R3 = 2.5 Ω, ε1 = 12 v, ε2 = 24 v. a) 23.6 v b) 0.4 v c) 12.4 v d) none of these.arrow_forwardA circuit has resistors R1=R2=R3=R4=5.00Ω and R5= 6.00Ω connected to an ideal battery of emf = 12.0V. Determine the equivalent resistance of the circuit.arrow_forward
- A 12V battery having an internal resistance 6Ω is connected to a load resistor. The current through the circuit is 0.1A. The terminal voltage across the load is _________. a. 12.6V b. 12V c. 0.2V d. 11.4V Clear my choicearrow_forwardA battery has an emf of 30 V and an internal resistance of 4.0 Ω. Find the current ina 20 Ω resistor connected across the battery terminals.(a) 0.25 A (b) 1.25 A(c) 2.25 A(d) 3.25 A(e) None of the abovearrow_forwardFour 20.0 W resistors are connected in parallel and the combination is connected to a 20.0 V ideal battery. The current in any one of the resistors is:arrow_forward
- 18.6 Find the current in the 12-Ω resistor in the figure below. (Assume R1 = R3 = 3.6 Ω, R2 = R4 = 9.0 Ω, ΔV = 17 V.)arrow_forwardthree resistors of resistance 6.00 omega, 8.00 omega, and 12.00 omega, ae connected in parallel. the equivalent resistance of the combination isarrow_forwardGiven a 48.0-V battery and 58.0-Ω and 15.0-Ω resistors, find the net power lost to both resistors when the resistors are connected in series. 19.2 W 16.78 W 14.96 W 31.56 Warrow_forward
- What should be the expected circuit resistance with an ammeter reading as 7.5 A in a circuit having 4-1.5 V (new AA size) batteries connected next to each other? 80 mΩΩ 800 mΩΩ 0.80 mΩΩ 8.0 mΩarrow_forwardWhen you connect a battery with emf 9.00 V to a resistor of resistance 12.0 Ω, energy is dissipated in the resistor at the rate of 6.54 W. Find (a) the current in the circuit, (b) the net power output of the battery, (c) the potential difference across the terminals of the battery, and (d) the internal resistance of the battery.arrow_forwardTwo resistors, R1 = 3.33 Ohms and R2 = 5.69 Ohms, are connected in series to a battery with an EMF of 24.0 V and negligible internal resistance. Find the cuurent I1 through R1 ane the potential difference V2 through R2arrow_forward
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax CollegePrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning