What Is The Equivalent Resistance For A Parallel Circuit That Has Two Resistors

By | July 18, 2022



If you’ve ever dabbled in electronics, you know that one of the most important concepts is resistance. Resistance is the opposition to current in a circuit, and it can be measured in ohms. But what if you’re dealing with a parallel circuit? That is, a circuit with two or more resistors connected in parallel. In this case, the equivalent resistance is not the sum of resistors, but something else. So what is the equivalent resistance for a parallel circuit that has two resistors?

The answer lies in understanding how current behaves in a parallel circuit. In a parallel circuit, the current is split among the individual resistors. The more resistors you have in parallel, the lower the equivalent resistance of the overall circuit will be. This means that if you have two resistors in a circuit connected in parallel, the equivalent resistance of the circuit will be less than the resistance of either resistor alone.

So how do you calculate the equivalent resistance of a circuit with two resistors in parallel? The formula is actually quite simple:

Equivalent resistance (R) = 1/ (1/R1 + 1/R2)

Where R1 and R2 are the resistances of each resistor.

To get a better understanding of this equation, let’s look at an example. Suppose you have two resistors, each with a resistance of 4 ohms. To calculate their equivalent resistance, you would use this formula:

Equivalent resistance (R) = 1/ (1/4 + 1/4)

Which simplifies to:

R = 1/ (1/2)

Which equals 2 ohms. This means that the combined resistance of the two resistors is 2 ohms, instead of 8 ohms.

As you can see, calculating the equivalent resistance of a parallel circuit that has two resistors is relatively simple. By understanding the formula and the concept behind it, you can easily figure out the equivalent resistance in any two-resistor parallel circuit. In addition to being useful in day-to-day circuits, this knowledge can also help you understand more complicated concepts such as voltage dividers, multiplexers, and active components.


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