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What is the power consumed by a resistor of 10Ω when a current of 2A flows throu
What is the power consumed by a resistor of 10Ω when a current of 2A flows through it?
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Practice Questions
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Q1
What is the power consumed by a resistor of 10Ω when a current of 2A flows through it?
20W
40W
10W
5W
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Power (P) can be calculated using P = I^2 * R. Therefore, P = (2A)^2 * 10Ω = 4 * 10 = 40W.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the power consumed by a resistor of 10Ω when a current of 2A flows through it?
Solution:
Power (P) can be calculated using P = I^2 * R. Therefore, P = (2A)^2 * 10Ω = 4 * 10 = 40W.
Steps: 8
Show Steps
Step 1: Identify the values given in the problem. We have a resistor with a resistance (R) of 10 ohms (Ω) and a current (I) of 2 amperes (A).
Step 2: Recall the formula for power (P) consumed by a resistor, which is P = I^2 * R.
Step 3: Substitute the current (I) into the formula. Here, I = 2A, so we calculate (2A)^2.
Step 4: Calculate (2A)^2, which is 2 * 2 = 4.
Step 5: Now, substitute the value of (2A)^2 back into the power formula: P = 4 * R.
Step 6: Substitute the resistance (R = 10Ω) into the equation: P = 4 * 10.
Step 7: Calculate 4 * 10, which equals 40.
Step 8: Therefore, the power consumed by the resistor is 40 watts (W).
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