If a 10 ohm resistor is connected to a 20V battery, what is the energy consumed

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

Options:

Correct Answer: 40 J

Solution:

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

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

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

Correct Answer: 200 J

Step 1: Identify the values given in the problem. We have a resistor of 10 ohms and a battery of 20 volts.
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 (10 ohms).
Step 3: Calculate V^2, which is 20^2 = 400.
Step 4: Divide the result by the resistance: 400 / 10 = 40. So, the power consumed is 40 watts (W).
Step 5: Now, to find the energy consumed, use the formula: Energy = Power * time. We have Power = 40 W and time = 5 seconds.
Step 6: Multiply the power by the time: 40 W * 5 s = 200 joules (J).
Step 7: The final answer is that the energy consumed in 5 seconds is 200 J.

Ohm's Law – The relationship between voltage (V), current (I), and resistance (R) in an electrical circuit, 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.