Which one of the following terms cannot represent electrical power in

Which one of the following terms cannot represent electrical power in a circuit?

[amp_mcq option1=”VI” option2=”I^2/R” option3=”I^2R” option4=”V^2/R” correct=”option2″]

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UPSC NDA-2 – 2022

Electrical power (P) in a circuit can be calculated using different formulas derived from the relationship between voltage (V), current (I), and resistance (R), as defined by Ohm’s Law (V = IR). The standard formulas for power are:
1. P = VI (Power = Voltage × Current)
2. P = I²R (Substituting V = IR into P = VI: P = (IR)I = I²R)
3. P = V²/R (Substituting I = V/R into P = VI: P = V(V/R) = V²/R)
Looking at the options:
A) VI – This is a correct formula for power.
B) I²/R – This is incorrect. The correct formula involving I and R is I²R.
C) I²R – This is a correct formula for power.
D) V²/R – This is a correct formula for power.

Understanding the relationships between power, voltage, current, and resistance through Ohm’s Law is fundamental to electrical circuit analysis.

The power dissipated by a resistor represents the rate at which electrical energy is converted into heat energy. These power formulas are applicable to resistive components in both DC and AC circuits (though for AC, power can also involve a power factor).

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