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

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Question: If a 5 ohm resistor is connected to a 10V battery, what is the energy consumed in 2 minutes?

Options:

Correct Answer: 120 J

Solution:

Power P = V^2/R = 10^2 / 5 = 20 W. Energy = Power * time = 20 W * 120 s = 2400 J.

If a 5 ohm resistor is connected to a 10V battery, what is the energy consumed in 2 minutes?

If a 5 ohm resistor is connected to a 10V battery, what is the energy consumed in 2 minutes?

Correct Answer: 2400 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: Convert the time from minutes to seconds. Since there are 60 seconds in a minute, 2 minutes is 2 * 60 = 120 seconds.
Step 5: Use the formula for energy (E) which is E = Power * time. We have Power = 20 watts and time = 120 seconds.
Step 6: Calculate the energy: E = 20 W * 120 s = 2400 joules.

Ohm's Law – The relationship between voltage (V), current (I), and resistance (R) in an electrical circuit, where V = I * R.
Power Calculation – The calculation of power (P) in an electrical circuit using the formula P = V^2 / R.
Energy Consumption – The calculation of energy consumed over time using the formula Energy = Power * time.