Resistances of three resistors are in the proportion connected in parallel, their effective resistance is 6 Ω. Then connect on.
36 Ω
84 Ω
66 Ω
18 Ω
Answers
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Answer:
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Explanation:
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Given:
Resistances of three resistors are in the proportion connected in parallel, their effective resistance is 6 Ω.
To find:
Resistances of three resistors are in the proportion connected in parallel, their effective resistance is 6 Ω. Then connect on.
Solution:
From given, we have,
Resistances of three resistors are in the proportion connected in parallel, their effective resistance is 6 Ω.
As it's not given that, 3 resistors have different values, so we consider all the 3 resistors have the same value.
The formula for calculating the resistance of resistors connected in parallel, we get,
1/Rp = 1/R1 + 1/R2 + 1/R3
1/Rp = 1/R + 1/R + 1/R
1/Rp = 3/R
Rp = R/3
6 = R/3
R = 18 Ω
Therefore, option (d) 18 Ω is correct.