BasicB-005-005-008

If ten resistors of equal value "R" are wired in parallel, what formula yields the total resistance?

D
Answer
Transmitters, receivers, and measurements
Type
A
10 x R
B
10 + R
C
10 / R
D
R / 10

Answer Notes

When multiple resistors of the exact same value are connected in a parallel circuit, there is a shortcut to find the total resistance. You simply divide the value of one resistor by the total number of resistors. In this scenario, the uniform resistance value is 'R' and there are ten of them. Applying the shortcut formula (R_total = R / n), the total resistance is R divided by 10, or R / 10. Options like '10 x R' would only be correct if the resistors were placed in series. The '10 / R' option is a common algebra error that flips the numerator and denominator.
Previous · B-005-005-007
Which of these series combination of resistors would replace a single 120-ohm resistor?
Next · B-005-005-009
What is the total resistance of four 68-ohm resistors wired in parallel?