Скачать или смотреть Resistor network circuit: parallel and series resistors, current, power dissipated by a resistor.

In this resistor network circuit, we are given a circuit with both parallel and series resistors, and our goal is to find current and the power dissipated by a resistor in the circuit.

We start by using the parallel resistor formula to simplify a parallel combination of resistors, then we redraw the circuit with equivalent resistance replacing the parallel combination.

Next, we see that all remaining resistors are in series, so we apply the series resistor formula and compute the total resistance. We redraw the circuit with a single power source and resistor.

Now that the circuit is simplified, we use Ohm's Law I=V/R to obtain the total current in the circuit.

Finally, we realize that this total current is passing through the 5 ohm resistor, so we can immediately compute the power dissipated by the resistor using the power formula P=I^2*R, and we're done!