Ham Radio General Class Practice Test

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If three equal value resistors in parallel produce 50 ohms of resistance, what is the value of each resistor?

  1. 1500 ohms

  2. 90 ohms

  3. 150 ohms

  4. 175 ohms

The correct answer is: 150 ohms

When dealing with resistors in parallel, the total resistance (R_total) can be calculated using the formula: 1/R_total = 1/R1 + 1/R2 + 1/R3 In the case of three equal resistors (R1 = R2 = R3 = R), the equation simplifies to: 1/R_total = 3/R Rearranging the equation gives: R_total = R / 3 From the question, we know that R_total is 50 ohms. By substituting this value into the rearranged equation, we have: 50 = R / 3 To find the value of R, we multiply both sides by 3: R = 3 * 50 = 150 ohms Thus, each resistor must have a value of 150 ohms to achieve a total resistance of 50 ohms when connected in parallel. This reasoning confirms that the value of each resistor is 150 ohms.

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