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Heating Effect, Electrical Power and Maximum Power Transfer

conceptmedium~35 min study9 MCQ

Power dissipated is P = VI = I2 R = V2/R; a source of internal resistance r delivers maximum power when the load equals r.

What is Heating Effect, Electrical Power and Maximum Power Transfer?

Power dissipated is P = VI = I2 R = V2/R; a source of internal resistance r delivers maximum power when the load equals r.

Key formula / rule: P = VI = I2 R = V2/R; energy in kWh for billing.

Key points

  • Compute power dissipation in circuit elements.
  • Derive the maximum power transfer condition.

Common exam trap

Using V2/R for a series element whose voltage was not computed.

Definitions

Term

Heating Effect, Electrical Power and Maximum Power Transfer

Meaning

Power dissipated is P = VI = I2 R = V2/R; a source of internal resistance r delivers maximum power when the load equals r.

Term

Heating Effect, Electrical Power and Maximum Power Transfer — explanation

Meaning

Which power expression to use depends on what is held constant: I2R for series elements and V2/R for parallel ones.

Learning objectives

  • Compute power dissipation in circuit elements.

  • Derive the maximum power transfer condition.

Formulae

Key point

P = VI = I2 R = V2/R; energy in kWh for billing.

Key point

Terminal voltage V = E - Ir.

Key point

Maximum power transfer at R = r, with 50 percent efficiency.

Prerequisites

  • PHY-U5-CUR-T1-S1-C2

  • PHY-U1-WEP-T2-S1-C1

Common mistakes

  • Using V2/R for a series element whose voltage was not computed.

  • Confusing maximum power transfer with maximum efficiency.

Keywords

  • Heating

  • Effect

  • Electrical

  • Power

  • Maximum

  • Power

Practice preview

  • If a current of 3 A flows through a 5 ohm resistor for 10 seconds, how much heat energy is produced?

    easy

  • Which of the following expressions correctly represents the electrical power P dissipated in a resistor with resistance R and voltage V across it?

    easy

  • A battery has an EMF of 10 V and an internal resistance of 2 ohm. For what value of external load resistance will the power delivered to the load be maximum?

    medium