DC Circuits: Comprehensive Study Guide on Series and Parallel Systems

,Formulas of Electric Circuits

• Voltage in Series Circuits:
    $V = V_1 + V_2$

• Ohm's Law:
    $V = I \times R$

• Total Resistance in Series:
    $R_{total} = R_1 + R_2$

• Total Current in Parallel Circuits:
    $I = I_1 + I_2$

• Voltage in Parallel Circuits:
    $V_{total} = V_1 = V_2$

• Total Resistance in Parallel:
    $\frac{1}{R_{total}} = \frac{1}{R_1} + \frac{1}{R_2}$
    - For two resistors:
      $R = \frac{R_1 \times R_2}{R_1 + R_2}$

Definitions of Electric Circuits

• Series Circuit: A circuit configuration where components are arranged in a single path, and the current flows through each component sequentially.

• Parallel Circuit: A circuit configuration where components are connected across common points, providing multiple paths for the current to flow.

• Voltage (Potential Difference): The work done to drive a unit charge through a component, measured in volts (V).

• Current: The flow of electric charge in a circuit, measured in amperes (A).

• Resistance: The opposition to current flow in a circuit, measured in ohms (Ω).