Question

Electric power is inversely proportional to
(1) Current
(2) Voltage
(3) Resistance
(4) Temperature

Answer 1

Hint: Electric power is that the rate, per unit time, at which electricity is transferred by an electrical circuit. The SI unit of power is that the watt, one joule per second. electrical power is typically produced by electric generators, but also can be supplied by sources like electric batteries. A given value of power is often produced by any combination of current and voltage values. If the present is direct, electronic charge progresses always within the same direction through the device receiving power

Complete answer:
From Ohm’s law
V = IR ……… (1)
The relationship between the power and resistance can be expressed as
$P={{I}^{2}}R$ ……… (2)
Where, “P” is the Power measured in watt
“R” is the resistance measured in ohms
“I” is the electric current measured in coulombs
Equation (1) can also be written as
$P=\dfrac{{{V}^{2}}}{R}$ ……….. (3)
Where, V is the electric potential measured in volts
By Ohm’s Law, if resistance (R) and temperature remain constant, then current (I) is directly proportional to the voltage (V). As per the power formula, if the power stays the same then current is inversely proportional to the voltage.
Hence, Power is inversely proportional to Resistance (R)

Therefore, we can conclude that option (3) Resistance is the correct answer.

Note:
The wide-scale production and distribution of electrical power was made possible by the event of the electrical generator, a tool that operates on the idea of the induction principle formulated in 1831 by English scientist Michael Faraday and independently by the American scientist Joseph Henry. The first public power plant employing an electrical generator began operation in London in January 1882, using DC systems, which proved inefficient for long-distance power transmission.