Parallel Circuit Analysis
Description
This MicroSim demonstrates a parallel circuit with up to four resistors sharing the same two nodes. Adjust each branch resistance with sliders and watch the individual branch currents and total current update in real time. The equivalent parallel resistance is displayed, and KCL is verified by showing that all branch currents sum to the total source current.
Key Concepts
- In a parallel circuit, all branches share the same voltage: \(V_1 = V_2 = \cdots = V_n = V_s\).
- Each branch current is independent: \(I_k = V_s / R_k\).
- Equivalent resistance satisfies \(\frac{1}{R_{eq}} = \sum \frac{1}{R_k}\); always smaller than the smallest branch.
- KCL confirms: \(I_{total} = I_1 + I_2 + \cdots + I_n\).
- Parallel circuits are used in wiring household outlets and distributing power to independent loads.