With reference to current and power, consider the following statements:
1. The current flowing through the resistor is 2 A.
2. The power dissipated in the resistor is 40 W.
3. If resistance is doubled, current becomes 1 A.
4. Power remains unchanged if resistance is doubled.
Which of the above statements is/are correct?
View answer & solution
At fixed supply voltage, doubling resistance halves current and halves power because P=V²/R. Given V=20 V and R=10 Ω: I=V/R=2 A and P=VI=40 W. If R doubles to 20 Ω at the same 20 V, I=1 A and P=20 W. Key relation: I=V/R; P=VI=I²R=V²/R.
Exam focus: At fixed V, power varies inversely with R. Common trap: Do not assume power stays constant when resistance changes on a fixed-voltage source.
