Determination of the Equivalent Resistance of Two Resistors When Connected in Parallel
Question
Determination of the Equivalent Resistance of Two Resistors When Connected in Parallel
Solution 1
To determine the equivalent resistance of two resistors when connected in parallel, follow these steps:
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Identify the resistance values of the two resistors. Let's call them R1 and R2.
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Use the formula for calculating the equivalent resistance of resistors in parallel, which is given by:
1/Req = 1/R1 + 1/R2
Here, Req represents the equivalent resistance.
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Substitute the values of R1 and R2 into the formula and calculate the sum of the reciprocals:
1/Req = 1/R1 + 1/R2
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Take the reciprocal of both sides of the equation to find the equivalent resistance:
Req = 1 / (1/R1 + 1/R2)
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Simplify the expression if necessary.
For example, if R1 = 4 ohms and R2 = 6 ohms, the calculation would be:
Req = 1 / (1/4 + 1/6) = 1 / (3/12 + 2/12) = 1 / (5/12) = 12/5 = 2.4 ohms
Therefore, the equivalent resistance of the two resistors when connected in parallel is 2.4 ohms.
Solution 2
To determine the equivalent resistance of two resistors when connected in parallel, follow these steps:
-
Identify the resistance values of the two resistors. Let's call them R1 and R2.
-
Use the formula for calculating the equivalent resistance of resistors in parallel, which is given by:
1/Req = 1/R1 + 1/R2
Here, Req represents the equivalent resistance.
-
Substitute the values of R1 and R2 into the formula and calculate the sum of the reciprocals:
1/Req = 1/R1 + 1/R2
-
Take the reciprocal of both sides of the equation to find the value of Req:
Req = 1 / (1/R1 + 1/R2)
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Simplify the expression to obtain the final value of the equivalent resistance.
Req = (R1 * R2) / (R1 + R2)
By following these steps, you can determine the equivalent resistance of two resistors when connected in parallel.
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