Overview

• Ohm’s Law:

  Ohm’s Law states that the current through a conductor is directly proportional to the voltage across it and inversely proportional to the resistance. The formula is:

  V=IR

• Resistance in Series Circuits:

  In a series circuit, the total resistance is the sum of individual resistances. The current is the same throughout, but voltage divides across resistors.

  R_{total =} R₁+R₂+⋯+R_n

• Resistance in Parallel Circuits:

  In a parallel circuit, the total resistance is found by the reciprocal of the sum of the reciprocals of individual resistances. Voltage across each resistor is the same, and current divides among branches.

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Significance

• Ohm’s Law helps understand electrical behavior and is essential for designing circuits and electrical devices.

• Resistance in Series Circuits is key to controlling current flow by adding resistances together.

• Resistance in Parallel Circuits reduces total resistance, allowing more current to flow, useful in power distribution systems.