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

Practice Questions

Q1
If a 10Ω resistor is connected to a 20V battery, what is the power dissipated by the resistor?
  1. 20W
  2. 40W
  3. 100W
  4. 200W

Questions & Step-by-Step Solutions

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.
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