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 seconds?

Options:

Correct Answer: 20 J

Solution:

Power P = V^2 / R = 10^2 / 5 = 20 W. Energy = Power * time = 20 W * 2 s = 40 J.

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

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.