If a 10Ω resistor is connected across a 20V battery, what is the power dissipate

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Question: If a 10Ω resistor is connected across a 20V battery, what is the power dissipated in the resistor? (2023)

Options:

Correct Answer: 40W

Exam Year: 2023

Solution:

Power (P) can be calculated using the formula P = V^2 / R. Here, P = 20^2 / 10 = 400 / 10 = 40W.

If a 10Ω resistor is connected across a 20V battery, what is the power dissipated in the resistor? (2023)

If a 10Ω resistor is connected across a 20V battery, what is the power dissipated in the resistor? (2023)

Step 1: Identify the values given in the problem. We have a resistor with a resistance of 10Ω and a battery with a voltage of 20V.
Step 2: Write down 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 20 and R with 10: P = 20^2 / 10.
Step 4: Calculate 20^2, which is 400.
Step 5: Divide 400 by 10 to find P: 400 / 10 = 40.
Step 6: Conclude that the power dissipated in the resistor is 40W.

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