CAS PY 212 Study Guide - Arab Bank For Economic Development In Africa, Net Force, Cross Product

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Consider the circuit shown in the figure, where all resistors have the same resistance r. Solution: (i) at t = 0, the capacitor is uncharged and so there is no voltage difference across it. The capacitor is a short, and so a simpler circuit can be drawn just by eliminating the capacitor. In this simpler circuit, the two resistors on the right are in parallel with each other, and then in series with the resistor by the switch. The current through the resistor by the switch splits equally when it reaches the junction of the parallel resistors. 3 t = the capacitor will be fully charged and there will be no current in the branch containing the capacitor, and so a simpler circuit can be drawn by eliminating that branch. In this simpler circuit, the two resistors are in series, and they both have the same current.

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