The relation between power (P), voltage (V) and resistance (R) is given by ______.

The correct answer is P = (V^2)/R.

Key Points

• The relation P = (V^2)/R is derived from Ohm's Law and the power formula in electrical circuits.
• Ohm's Law states that V = IR, where V is voltage, I is current, and R is resistance.
• Power (P) in an electrical circuit is given by P = VI, where V is voltage and I is current.
• Substituting I from Ohm's Law into the power formula, we get P = V(V/R) which simplifies to P = (V^2)/R.
• This formula is particularly useful in calculating power dissipation in resistive elements of electrical circuits.

Additional Information

• Ohm's Law
  • Formulated by Georg Simon Ohm, it defines the relationship between voltage, current, and resistance in an electrical circuit.
  • Expressed as V = IR, it is a fundamental principle in the study of electrical engineering and physics.
• Power in Electrical Circuits
  • Power (P) is the rate at which electrical energy is transferred by an electric circuit.
  • Measured in watts (W), it is calculated as P = VI, where V is voltage and I is current.
• Resistance (R)
  • Resistance is a measure of the opposition to current flow in an electrical circuit.
  • Measured in ohms (Ω), it determines how much current will flow for a given voltage.
• Voltage (V)
  • Voltage, also known as electric potential difference, is the force that pushes electric current through a conductor.
  • Measured in volts (V), it is a key parameter in designing and analyzing electrical circuits.