Question

Electric power is inversely proportional to

• A. Current
• B. Voltage
• C. Resistance
• D. Temperature

Answer 1

The correct option is C

Resistance

Electric power:

1. Electric power is the measurement of how much energy is consumed in a certain period of time.
2. Electric power is denoted by $\mathrm{P}$.
3. The SI unit is $\mathrm{Watt}\left(\mathrm{W}\right),\mathrm{joule}\mathrm{per}\mathrm{second}(\mathrm{J}/\mathrm{s})$.

Mathematically, electric power can be represented as:

$\mathrm{P}=\mathrm{VI}$

Here,

$V$ is the electric potential.

$I$ is the current.

Ohm's law: Ohm's Law states that if resistance (R) and temperature are constant, current (I) is directly proportional to voltage (V). If somehow the power remains constant, the current is inversely proportional to voltage, according to the power formula.

$\mathrm{V}=\mathrm{IR}...\left(1\right)$

The relationship between power and resistance can be expressed as:

$\mathrm{P}={\mathrm{I}}^2\mathrm{R}...\left(2\right)$

Here,

“P” is the power.

“R” is the resistance.

“I” is the electric current.

The first equation can also be written as:

$\mathrm{P}=\frac{{\mathrm{V}}^2}{\mathrm{R}}...\left(3\right)$

Therefore, electric power is inversely proportional to resistance, or option C is the correct choice.