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Series and parallel: Which resistor has the largest current, voltage and power output

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1. Three resistors have values 5 ohms, 2 ohms, and 1 ohms. The first one is followed by the last two wired in parallel. When this arrangement is connected to a battery, which resistor(s) has

a) the largest current,
b) the largest voltage, and
c) the largest power output?

Please explain using a diagram and equations for this problem.

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With full formulas and narrative explanations, the problem is solved. Which resistors have the largest current, voltage and power outputs are determined.

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1. Three resistors have values 5 ohms, 2 ohms, and 1 ohms. The first one is followed by the last two wired in parallel. When this arrangement is connected to a battery, which resistor(s) has ...

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
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  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
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