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A resistor of 10Ω is connected across a 20V battery. What is the power consumed
A resistor of 10Ω is connected across a 20V battery. What is the power consumed by the resistor? (2021)
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Practice Questions
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Q1
A resistor of 10Ω is connected across a 20V battery. What is the power consumed by the resistor? (2021)
40W
20W
10W
5W
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Power (P) is given by P = V^2/R = 20V^2 / 10Ω = 400W / 10 = 40W.
Questions & Step-by-step Solutions
1 item
Q
Q: A resistor of 10Ω is connected across a 20V battery. What is the power consumed by the resistor? (2021)
Solution:
Power (P) is given by P = V^2/R = 20V^2 / 10Ω = 400W / 10 = 40W.
Steps: 6
Show Steps
Step 1: Identify the values given in the problem. We have a resistor of 10 ohms (Ω) and a battery of 20 volts (V).
Step 2: Recall the formula for power (P) in terms of voltage (V) and resistance (R). The formula is P = V^2 / R.
Step 3: Substitute the values into the formula. Here, V = 20V and R = 10Ω.
Step 4: Calculate V^2. This means 20V * 20V = 400V^2.
Step 5: Now divide 400V^2 by the resistance (10Ω). So, 400V^2 / 10Ω = 40W.
Step 6: The power consumed by the resistor is 40 watts (W).
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