If a 10Ω resistor is connected to a 20V battery, what is the power dissipated by

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Question: If a 10Ω resistor is connected to a 20V battery, what is the power dissipated by the resistor?

Options:

Correct Answer: 40W

Solution:

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

If a 10Ω resistor is connected to a 20V battery, what is the power dissipated by the resistor?

If a 10Ω resistor is connected to a 20V battery, what is the power dissipated by the resistor?

Correct Answer: 40W

Step 1: Identify the values given in the problem. We have a resistor of 10Ω and a battery 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. Here, V = 20V and R = 10Ω.
Step 4: Calculate V^2. This means 20V * 20V = 400V^2.
Step 5: Divide the result by the resistance. So, 400V^2 / 10Ω = 40W.
Step 6: Conclude that the power dissipated by the resistor is 40W.

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