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Parallel Circuits - Technical MCQs

Q1:

What are the individual values of two parallel resistors whose RT is 8 ohms, when one has double the resistance of the other?

A 2.7 ohms and 5.3 ohms

B 8 ohms and 16 ohms

C 10 ohms and 20 ohms

D 12 ohms and 24 ohms

ANS:D - 12 ohms and 24 ohms

Remember, the total Resistance for a Parallel Network is always lesser than the smallest value of the resistance in the network.

Then just reverse Engineer the values from options C & D, applying the product over sum since there are only two resistors in the network to get the total Resistance.

For C (8 & 10).
R = (8*10)/(8+10) = 4.444.

for D (12 & 24),
R = (12*24)/(12+24) = 8.

Option D, has R total of 8 ohms, so the answer is correct, D.