You need a 45-ohm resistor, but the stockroom has only 20-ohm and 50-ohm resisto

Question

You need a 45-ohm resistor, but the stockroom has only 20-ohm and 50-ohm resistors. How can the desired resistance be achieved under these circumstances? Put two 50 ohm resistors in parallel and then put that combination in series with a 20 ohm resistor. Put two 50 ohm resistors in series and then put that combination in parallel with a 20 ohm resistor. Put one 50 and one 20 ohm resistor in series and then put that combination in parallel with a 20 ohm resistor. Put one 50 and one 20 ohm resistor in parallel and then put that combination in series with a 20 ohm resistor. What can you do if you need a 35-ohm resistor? Put one 50 and one 20 ohm resistor in parallel and two 20 ohm resistors in parallel. Then put these two combinations in series. Put two 50 ohm resistors in series and two 20 ohm resistors in series. Then put these two combinations in parallel. Put one 50 and one 20 ohm resistor in series and two 20 ohm resistors in series. Then put these two combinations in parallel. Put two 50 ohm resistors in parallel and two 20 ohm resistors in parallel. Then put these two combinations in series.

Explanation / Answer

two 50ohms in parallel

equivalent resistance of two 50ohms R1 = 50/2 = 25 ohs

connect R1 in series to 20 ohms

Rtot = R1 + 20 = 45 ohms

put two ohms in parallel and then put htat combination in parallel with 20 ohm resistor

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(b)

two 50 ohms in parallel

equivalent R1 = 50/2 = 25

two 20 ohms in parallel

equivqlent R2 = 20/2 = 10

R1 & R2 are in series

total resistacne = R1 + R2 = 35 ohms

option (4)

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