EMF, Terminal Voltage, and Resistance Insights

Aug 19, 2024

Understanding EMF, Terminal Voltage, and Internal Resistance

Key Concepts

  • EMF (Electromotive Force)

    • It's a number like 1.5V or 9V written on a battery.
    • Represents the energy transferred by the battery per coulomb (not an actual force).
  • Terminal Voltage

    • The actual voltage across the battery terminals when a circuit is in use.
    • It can be less than the EMF due to internal resistance causing heat loss.
  • Internal Resistance

    • The inherent resistance within the battery limiting the flow of charge.
    • Causes energy to be dissipated as heat.

Battery and Circuit Example

  • When a battery is connected to a bulb, it lights up.
  • Adding more bulbs in parallel makes each bulb dimmer due to increased current draw.
    • More current drawn = higher heat loss = lower terminal voltage.

Explanation

  • Batteries have electrons (or positive charges for simplicity) which are pushed against electrical repulsion inside the battery, transferring energy to them.
  • With resistance inside (internal resistance), not all energy transferred to charges becomes useful work (light up a bulb), some is lost as heat.

EMF vs. Terminal Voltage

  • EMF: Total energy transferred per coulomb by the battery.
  • Terminal Voltage: Actual energy gained by 1 coulomb after accounting for energy lost as heat.
    • Terminal Voltage = EMF - (Heat loss per coulomb)

Heat Loss and Current

  • When there’s more current (moving charges faster), more heat is generated due to internal resistance, reducing terminal voltage.
    • Example: Space shuttles heat up more than airplanes due to speed.
  • If current = 0, terminal voltage ≈ EMF (no heat loss).

Equation Connecting EMF, Terminal Voltage, and Internal Resistance

  • Equation: ( V_T = E - I \times R )
    • V_T: Terminal Voltage
    • E: EMF
    • I: Current
    • R: Internal Resistance
  • Terminal voltage is the net energy per coulomb when accounting for internal resistance.

Conclusion

  • Understanding the relationship between EMF, terminal voltage, and internal resistance explains why devices behave differently under varying current loads.