A resistor of 10Ω is connected across a 20V battery. What is the power consumed

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Question: A resistor of 10Ω is connected across a 20V battery. 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 = 400W / 10 = 40W.

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

A resistor of 10Ω is connected across a 20V battery. 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 battery 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. Here, V = 20V and R = 10Ω.
Step 4: Calculate V^2. This means 20V * 20V = 400V^2.
Step 5: Now divide 400V^2 by the resistance (10Ω). So, 400V^2 / 10Ω = 40W.
Step 6: 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.