As an electrical engineer, you have designed a complicated circuit and sent it o

Question

As an electrical engineer, you have designed a complicated circuit and sent it off to be manufactured. When the manufactured circuit boards come back, you realize you made a mistake with one of the resistors. It was supposed to be 150 ?, but the boards were made with a 180 ? resistor. You do not want to take apart the board, or have them re-manufactured. A cheap solution is to add a second resistor.
You can achieve this by putting the second resistor...
a) in parallel, or
b) in series
...with the first one.

What should the resistance of the second resistor be, in order to make the correct equivalent resistance when combined with the first one?

Explanation / Answer

we should decrease to 150 so we should use in parallel series

second resisot br r

then
1/150 = 1/180 +1/r

r = 900 ohms in parallel with first one

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