A resistor of 10Ω is connected to a 20V power supply. What is the power consumed

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Question: A resistor of 10Ω is connected to a 20V power supply. What is the power consumed by the resistor? (2021)

Options:

Correct Answer: 40W

Exam Year: 2021

Solution:

Power (P) is given by P = V^2/R = (20V)^2 / 10Ω = 400/10 = 40W.

A resistor of 10Ω is connected to a 20V power supply. What is the power consumed by the resistor? (2021)

A resistor of 10Ω is connected to a 20V power supply. What is the power consumed by the resistor? (2021)

Step 1: Identify the values given in the problem. We have a resistor of 10 ohms (Ω) and a power supply of 20 volts (V).
Step 2: Recall the formula for power (P) in terms of voltage (V) and resistance (R). The formula is P = V^2 / R.
Step 3: Substitute the values into the formula. Replace V with 20V and R with 10Ω: P = (20V)^2 / 10Ω.
Step 4: Calculate (20V)^2. This equals 400V^2.
Step 5: Now divide 400V^2 by 10Ω: 400 / 10 = 40.
Step 6: The result is 40. Therefore, the power consumed by the resistor is 40 watts (W).

Ohm's Law and Power Calculation – Understanding the relationship between voltage, resistance, and power in electrical circuits.