Subelement B: Electrical Math— Topic 10: Ohm’s Law-2
Question 3-10B2
Element 3 (GROL)What is the maximum DC or RMS voltage that may be connected across a 20 watt, 2000 ohm resistor?
Explanation
To determine the maximum voltage, we use the power formula relating power (P), voltage (V), and resistance (R): P = V²/R.
We are given:
* Power (P) = 20 watts
* Resistance (R) = 2000 ohms
To find the voltage (V), we rearrange the formula:
V² = P * R
V = √(P * R)
Substitute the given values:
V = √(20 watts * 2000 ohms)
V = √(40000)
V = 200 volts
Therefore, the maximum DC or RMS voltage that can be connected across the resistor without exceeding its power rating is 200 volts. Connecting a higher voltage would dissipate more than 20 watts, potentially damaging the resistor. Lower voltages would dissipate less power, which is safe but not the maximum.
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