If a 5 ohm resistor is connected to a 10V battery, what is the energy consumed i

Practice Questions

Q1
If a 5 ohm resistor is connected to a 10V battery, what is the energy consumed in 2 seconds?
  1. 10 J
  2. 20 J
  3. 5 J
  4. 15 J

Questions & Step-by-Step Solutions

If a 5 ohm resistor is connected to a 10V battery, what is the energy consumed in 2 seconds?
Correct Answer: 40 J
  • Step 1: Identify the values given in the problem. We have a resistor of 5 ohms and a battery of 10 volts.
  • Step 2: Use the formula for power (P) which is P = V^2 / R. Here, V is the voltage (10V) and R is the resistance (5 ohms).
  • Step 3: Calculate the power: P = 10^2 / 5 = 100 / 5 = 20 watts.
  • Step 4: Now, we need to find the energy consumed. Use the formula for energy which is Energy = Power * time.
  • Step 5: We know the power is 20 watts and the time is 2 seconds. So, Energy = 20 W * 2 s = 40 joules.
  • Ohm's Law – The relationship between voltage (V), current (I), and resistance (R) in an electrical circuit, typically expressed as V = I * R.
  • Power Calculation – The calculation of electrical power using the formula P = V^2 / R, which relates voltage, resistance, and power.
  • Energy Consumption – The calculation of energy consumed over time using the formula Energy = Power * time.
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