Three 1.80-k resistors can be connected together in four different ways, making

Question

Three 1.80-k resistors can be connected together in four different ways, making combinations of series and/or parallel circuits. Part A What are these four ways? Check all that apply. Two resistors in series can be placed in parallel with the third. Two resistors in parallel can be placed in series with the third. Three resistors in parallel can be placed in series with the net resistance. The resistors can all be connected in series. Two resistors in series can be placed in parallel with the net resistance. The resistors can all be connected in parallel.

Explanation / Answer

1 )

two resistors are in series then it is parallel with third

= 1 / ( 1 / ( 1800 + 1800 ) + 1 / 1800 )

= 1200 Ohm

2 )

two in parallel and then both in series with third

= 1 / ( 1 / 1800 + 1 / 1800 ) + 1800

= 1150 Ohm

3 )

all three are in series

1800 + 1800 + 1800

= 5400 Ohm

4 )

all three are in parallel

= 1 / ( 1 / 1800 + 1 / 1800 + 1 / 1800 )

= 600 Ohm

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