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Current Simplified Revision Notes

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Resistors in Series: Current

Circuit Diagram

Current in Series Circuit

  • When resistors are connected in series, the current through each resistor is the same.
  • In a series circuit, the current is consistent at all points.

Formula for Total Resistance (R_total) in Series

  • To calculate the total resistance (R_total) in a series circuit, add the individual resistances together.
  • R_total = R₁ + R₂ + R₃ + ...

Ohm's Law for Current (I)

  • Ohm's Law relates current (I), voltage (V), and resistance (R).
  • The formula is: I = V / R
    • I represents current in amperes (A).
    • V is voltage in volts (V).
    • R is resistance in ohms (Ω).

Calculating Current in a Series Circuit

  • To calculate current in a series circuit, you can use Ohm's Law.
  • I = V / R_total
    • I is the current in the circuit.
    • V is the total voltage supplied.
    • R_total is the total resistance in the series circuit.

Example Calculation

lightbulbExample

If a series circuit has three resistors with values R₁ = 10 Ω, R₂ = 15 Ω, and R₃ = 20 Ω, and a total voltage supply of V = 30 V, calculate the current:

  • R_total = R₁ + R₂ + R₃ = 10 Ω + 15 Ω + 20 Ω = 45 Ω
  • I = V / R_total = 30 V / 45 Ω = 0.67 A (approximately)

Resistors in Series: Current

Diagram

In Summary

  • In a series circuit, resistors have the same current passing through them.
  • Total resistance in a series circuit is the sum of individual resistances.
  • Ohm's Law (I=V/RI = V / R) can be used to calculate current in a series circuit.
  • Current in a series circuit is inversely proportional to the total resistance; higher resistance results in lower current.

Circuit Diagram

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