Parallel Circuit Physics Example 2

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Example 2

hard
Three identical 30 Ω30 \text{ } \Omega resistors are connected in parallel. What is the total resistance?

Solution

  1. 1
    For nn identical resistors in parallel, use the shortcut RT=RnR_T = \frac{R}{n}.
  2. 2
    Here R=30 ΩR = 30 \text{ } \Omega and n=3n = 3.
  3. 3
    RT=303=10 ΩR_T = \frac{30}{3} = 10 \text{ } \Omega

Answer

RT=10 ΩR_T = 10 \text{ } \Omega
Identical resistors in parallel have a total resistance equal to one resistor's value divided by the number of resistors. This is a useful shortcut for symmetric parallel circuits.

About Parallel Circuit

A parallel circuit connects components in separate branches between two common nodes, so each component gets the full source voltage.

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