Which of the following is NOT the correct relation between electric power (P), electric current(I), electric potential difference (V) and resistance(R): 

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RRB Technician Grade III Official Paper (Held On: 29 Dec, 2024 Shift 2)
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  1. P = I2R
  2. P = IR
  3. P = VI

Answer (Detailed Solution Below)

Option 2 : P = IR
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Detailed Solution

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The correct answer is Option 2: P = IR.

Key Points

  • Electric Power (P) is the rate at which electrical energy is consumed or generated.
  • P = I2R is derived from Ohm's Law (V = IR) and the definition of power (P = IV).
  • P = (V2/R) comes from the substitution of V = IR into the definition of power.
  • P = VI is the direct formula for power, where V is the potential difference and I is the current.
  • The formula P = IR is incorrect because it does not align with the proper relationships between power, voltage, current, and resistance.

Additional Information

  • Ohm's Law:
    • States that the current through a conductor between two points is directly proportional to the voltage across the two points.
    • Expressed as V = IR, where V is voltage, I is current, and R is resistance.
  • Electric Power:
    • Power (P) in an electrical circuit is the rate at which energy is used or produced.
    • It is measured in watts (W).
  • Resistance (R):
    • The opposition to the flow of electric current in a conductor.
    • Measured in ohms (Ω).
  • Current (I):
    • The flow of electric charge through a conductor.
    • Measured in amperes (A).
  • Voltage (V):
    • The electric potential difference between two points in a circuit.
    • Measured in volts (V).

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