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Multiple Choice
Three identical resistors are in parallel, and together they have an equivalent resistance of R. What is the resistance of each resistor?
A
B
R
C
D
E
F
Verified step by step guidance
1
Understand that when resistors are in parallel, the reciprocal of the equivalent resistance (1/R_eq) is the sum of the reciprocals of each individual resistance (1/R_1, 1/R_2, 1/R_3).
Since the resistors are identical, let the resistance of each resistor be R_individual. Therefore, the equation becomes: 1/R = 1/R_individual + 1/R_individual + 1/R_individual.
Simplify the equation: 1/R = 3/R_individual.
To find R_individual, rearrange the equation: R_individual = 3R.
Thus, the resistance of each individual resistor is 3 times the equivalent resistance, which is 3R.