BasicB-005-005-009

What is the total resistance of four 68-ohm resistors wired in parallel?

A
Answer
Transmitters, receivers, and measurements
Type
A
17 ohms
B
34 ohms
C
272 ohms
D
12 ohms

Answer Notes

To find the total resistance of identical resistors in parallel, you divide the resistance of a single resistor by the total number of resistors in the circuit. The formula is R_total = R / n. Here, you have four resistors that each have a value of 68 ohms. Dividing 68 by 4 gives a total equivalent resistance of 17 ohms. If you simply multiplied 68 by 4 to get 272 ohms, you would be calculating the value for a series circuit, not a parallel one. Remember that adding resistors in parallel always decreases the total resistance.
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If ten resistors of equal value "R" are wired in parallel, what formula yields the total resistance?
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Two resistors are in parallel. Resistor "A" carries twice the current of resistor "B," which means that: