The resistance of parallel circuit consisting of two branches is 12 ohms. If the resistance of one branch is 18 ohms, what is the resistance of the other?Answer area36 ohm18 ohm48 ohm64 ohm
Question
The resistance of parallel circuit consisting of two branches is 12 ohms. If the resistance of one branch is 18 ohms, what is the resistance of the other?Answer area36 ohm18 ohm48 ohm64 ohm
Solution
The resistance (R) of two resistors in parallel can be calculated using the formula:
1/R = 1/R1 + 1/R2
Where R1 and R2 are the resistances of the two branches.
Given that R = 12 ohms and R1 = 18 ohms, we can substitute these values into the formula to find R2:
1/12 = 1/18 + 1/R2
To solve for R2, first subtract 1/18 from both sides:
1/12 - 1/18 = 1/R2
This simplifies to:
1/36 = 1/R2
Therefore, R2 = 36 ohms.
So, the resistance of the other branch is 36 ohms.
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