If a 10Ω resistor is connected to a 20V source, what is the energy consumed in 5

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Question: If a 10Ω resistor is connected to a 20V source, what is the energy consumed in 5 seconds?

Options:

Correct Answer: 40J

Solution:

Power P = V^2 / R = 20V^2 / 10Ω = 40W. Energy = Power * time = 40W * 5s = 200J.

If a 10Ω resistor is connected to a 20V source, what is the energy consumed in 5 seconds?

If a 10Ω resistor is connected to a 20V source, what is the energy consumed in 5 seconds?

Step 1: Identify the values given in the problem. We have a resistor of 10Ω and a voltage source of 20V.
Step 2: Use the formula for power (P) which is P = V^2 / R. Here, V is the voltage (20V) and R is the resistance (10Ω).
Step 3: Calculate the power: P = (20V)^2 / (10Ω) = 400V^2 / 10Ω = 40W.
Step 4: Now, we need to find the energy consumed. Use the formula for energy which is Energy = Power * time.
Step 5: Substitute the values: Energy = 40W * 5s.
Step 6: Calculate the energy: Energy = 200J.

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 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.