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Q.

The diagram shows a 40 Ω resistor and a 60 Ω resistor connected in parallel.
What is the total resistance between points P and Q?
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a

100 Ω

b

Less than 40 Ω

c

between 50 Ω and 100 Ω

d

50 Ω

answer is A.

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Detailed Solution

The diagram shows a 40 Ω resistor and a 60 Ω resistor connected in parallel.

Question Image

Equivalent resistance for the parallel combination of resistance is given by,

1Req=1R1+1R2

Hence,

Req=R1×R2R1+R2

Given, R1=40 Ω

          R2=60 Ω 

  Req=40×6040+60

  Req=24 Ω

So, it is less than 40 Ω.

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The diagram shows a 40 Ω resistor and a 60 Ω resistor connected in parallel.What is the total resistance between points P and Q?