You need a 45 Ω resistor, but the stockroom has only 20 Ω and 50 Ω resistors. How can the desired resistance be achieved under these circumstances? Put two 50 Ω resistors in series and then put that combination in parallel with a 20 Ω resistor. Put one 50 and one 20 Ω resistor in parallel and then put that combination in series with a 20 Ω resistor. Put one 50 and one 20 Ω resistor in series and then put that combination in parallel with a 20 Ω resistor. Put two 50 Ω resistors in parallel and then put that combination in series with a 20 Ω resistor.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter21: Current And Direct Current Circuits
Section: Chapter Questions
Problem 68P
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(a) You need a 45 Ω resistor, but the stockroom has only 20 Ω and 50 Ω resistors. How can the desired resistance be achieved under these circumstances?

Put two 50 Ω resistors in series and then put that combination in parallel with a 20 Ω resistor.
Put one 50 and one 20 Ω resistor in parallel and then put that combination in series with a 20 Ω resistor.
Put one 50 and one 20 Ω resistor in series and then put that combination in parallel with a 20 Ω resistor.
Put two 50 Ω resistors in parallel and then put that combination in series with a 20 Ω resistor.
 
(b) What can you do if you need a 35 Ω resistor?
Put two 50 Ω resistors in parallel and two 20 Ω resistors in parallel. Then put these two combinations in series.
Put one 50 and one 20 Ω resistor in parallel and two 20 Ω resistors in parallel. Then put these two combinations in series.
Put one 50 and one 20 Ω resistor in series and two 20 Ω resistors in series. Then put these two combinations in parallel.
Put two 50 Ω resistors in series and two 20 Ω resistors in series. Then put these two combinations in parallel.
 
Check mar which ever one applies
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