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If a 5 ohm resistor is connected to a 10V battery, what is the energy consumed i
If a 5 ohm resistor is connected to a 10V battery, what is the energy consumed in 2 minutes?
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Practice Questions
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Q1
If a 5 ohm resistor is connected to a 10V battery, what is the energy consumed in 2 minutes?
60 J
120 J
240 J
30 J
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Power P = V^2/R = 10^2 / 5 = 20 W. Energy = Power * time = 20 W * 120 s = 2400 J.
Questions & Step-by-step Solutions
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Q
Q: If a 5 ohm resistor is connected to a 10V battery, what is the energy consumed in 2 minutes?
Solution:
Power P = V^2/R = 10^2 / 5 = 20 W. Energy = Power * time = 20 W * 120 s = 2400 J.
Steps: 6
Show Steps
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.
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