Problem-Solving Strategies for Series and Parallel Resistors 1. Draw a clear circuit diagram, labeling all resistors and voltage sources. This step includes a list of the knowns for the problem, since they are labeled in your circuit diagram. 2. Identify exactly what needs to be determined in the problem (identify the unknowns). A written list is useful. 3. Determine whether resistors are in series, parallel, or a combination of both series and parallel. Examine the circuit diagram to make this assessment. Resistors are in series if the same current must pass sequentially through them. 4. Use the appropriate list of major features for series or parallel connections to solve for the unknowns. There is one list for series and another for parallel. If your problem has a combination of series and parallel, reduce it in steps by considering individual groups of series or parallel connections, as done in this module and the examples. Special note: When finding Rp, the reciprocal must be taken with care. 5. Check to see whether the answers are reasonable and consistent. Units and numerical results must be reasonable. Total series resistance should be greater, whereas total parallel resistance should be smaller, for example. Power should be greater for the same devices in parallel compared with series, and so on. V, = ? 1.00 Ω R, I = ? 12 = ? 12.0 V R3 I3 R2 6.00 Ω V, = V – V, = ? 13.0 Ω

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter24: Magnetic Fields

Section: Chapter Questions

Problem 75A

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Question

Referring to the example combining series and parallel circuits and Figure, calculate I₃ in the following two different ways:

(a) from the known values of I and I₂ ; (b) using Ohm’s law for R₃.

In both parts explicitly show how you follow the steps in the Problem-Solving Strategies for Series and Parallel Resistors.

Problem-Solving Strategies for Series and Parallel Resistors
1. Draw a clear circuit diagram, labeling all resistors and voltage sources. This step includes a list of the knowns for the
problem, since they are labeled in your circuit diagram.
2. Identify exactly what needs to be determined in the problem (identify the unknowns). A written list is useful.
3. Determine whether resistors are in series, parallel, or a combination of both series and parallel. Examine the circuit
diagram to make this assessment. Resistors are in series if the same current must pass sequentially through them.
4. Use the appropriate list of major features for series or parallel connections to solve for the unknowns. There is one list
for series and another for parallel. If your problem has a combination of series and parallel, reduce it in steps by
considering individual groups of series or parallel connections, as done in this module and the examples. Special note:
When finding Rp, the reciprocal must be taken with care.
5. Check to see whether the answers are reasonable and consistent. Units and numerical results must be reasonable. Total
series resistance should be greater, whereas total parallel resistance should be smaller, for example. Power should be
greater for the same devices in parallel compared with series, and so on.

V, = ?
1.00 Ω
R,
I = ?
12 = ?
12.0 V
R3
I3
R2
6.00 Ω
V, = V – V, = ?
13.0 Ω

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