The power dissipated in a 10Ω resistor carrying 2A is:
A10 W
B20 W
C40 WCORRECT
D200 W
AI
Toasta AI Explanation
Why the answer is C, and why the others tempt you.
## The reasoning
Power dissipation in a resistor follows the formula **P = I²R** (Power equals current squared times resistance).
Here's the working:
- Current I = 2A
- Resistance R = 10Ω
- P = I²R = (2)² × 10 = 4 × 10 = **40 W**
You could also use P = V²/R or P = VI, but you'd first need to find voltage using Ohm's law (V = IR = 2 × 10 = 20V). Then P = 2A × 20V = 40W. Same answer!
## Why the wrong options tempt you
**A) 10W** — You just multiplied I × R (2 × 10), forgetting to *square* the current first.
**B) 20W** — You calculated V = IR = 20V correctly, but then mistook voltage for power. Voltage and power are different quantities!
**D) 200W** — You might have done (I × R)² = (20)² = 400, then divided randomly, or mixed up your formulas entirely.
## Quick takeaway
For power in resistors, always remember: **"I-squared-R"** — square the current first, then multiply by resistance. It's the most direct route when current is given!
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