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

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NDA 02/2022 General Ability Test Official Paper (Held On 4 Sep 2022)
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  1. VI
  2. I2 / R
  3. I2R
  4. V2 / R

Answer (Detailed Solution Below)

Option 2 : I2 / R
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Detailed Solution

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Concept:

Ohm’s law states that the current through a conductor between two points is directly proportional to the voltage across the two points.

  • V = IR -- (1)

Electric power is the rate at which electrical energy is transferred by an electric circuit. 

  • The SI unit of Power is the Watt or One Joule per second.
  • P = V × I -- (2)
  • where, p = power, I = current, V = voltage, R = resistance

Calculation:

From equation (2), P = VI -- (3)

Now, from equation (1) and (2), P = (IR) × I = I2R -- (4)

Also, from equation (1), \(I = \frac{V}R\)

Now put the value in equation (2) then, \(P = V \times \frac{V}R\)

⇒ \(P= \frac{V{^2}}{R}\) -- (5)

From equation (3), (4), (5) P = VI = I2R = ​​\(P= \frac{V{^2}}{R}\)

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