# Series circuits practical problems

The equivalent resistance of a circuit is the amount of resistance that a single resistor would need in order to equal the overall effect of the collection of resistors that are present in the circuit.

Since there is only one pathway through the circuit, every charge encounters the resistance of every device; so adding more devices results in more overall resistance. In passing through the battery, the charge gains 12 volts of electric potential.

Consider the following diagrams below.

### Series circuit problems with solutions

By applying one's understanding of the equivalent resistance of parallel branches to a combination circuit, the combination circuit can be transformed into a series circuit. You can easily drag voltage sources, resistors and wires onto the workspace and arrange and connect them anyway you wish. If done slowly, the result is a varying car speed. Developing a Strategy The two examples above illustrate an effective concept-centered strategy for analyzing combination circuits. If the transistor is pulsed on and off fast enough, power to the light bulb may be varied as smoothly as if controlled by a variable resistor. The charges can be thought of as marching together through the wires of an electric circuit, everywhere marching at the same rate. Mathematically analyze the circuit, solving for all values of voltage, current, etc.

Hide answer When the transistor is on, is acts like a closed switch: passing full load current, but dropping little voltage. At locations G and H, the charge is out of energy and needs an energy boost in order to traverse the external circuit again.

Yet, resistors R1 and R4 are in series and the current in series-connected resistors is everywhere the same. Another time-saving technique is to re-use the same components in a variety of different circuit configurations.

### Complex resistor circuit problems

Example 1: The first example is the easiest case - the resistors placed in parallel have the same resistance. In this example, the unequal current in the two resistors complicates the analysis. Such analyses are often conducted in order to solve a physics problem for a specified unknown. There is a voltage drop for each resistor, but the sum of these voltage drops is 1. Math does not lie, though. There are an infinite number of possible values of I2 and I3 that satisfy this equation. If the two or more resistors found in the parallel branches do not have equal resistance, then the above formula must be used. This technique is very popular in industrial power control, and is gaining popularity as an audio amplification technique known as Class D. In another problem, the current in the battery and a few resistor values may be stated and the unknown quantity becomes the resistance of one of the resistors. All we can say is that theoretically there will be no effect from closing the switch, but that in real life there will be some degree of dimming when the switch is closed. In such situations, the unknown typically varies from problem to problem. Charge does NOT become used up by resistors such that there is less of it at one location compared to another. Carefully build this circuit on a breadboard or other convenient medium. In the previous example, the two resistors in parallel had the identical resistance; thus the current was distributed equally among the two branches.

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