# Equivalent Resistance Formula

## Equivalent Resistance Formula

The Equivalent Resistance Formula is the calculation of the aggregate resistance connected in parallel or series. The circuit is essentially built in either series or parallel. Electrical resistance demonstrates how much power is required to pass charges or currents through electrical gadgets. When one requires a lot of energy, a lot of resistance is also necessary. The one resistor that could replace the complete network and produce the same amount of current I for a given applied voltage V is known as the equivalent resistance of a network. A circuit with more resistance will have less current flowing through it. Finding the total resistance value of all the connected resistances in an electrical circuit is necessary. As a result, another method of expressing total resistance is the Equivalent Resistance Formula. The calculations for parallel and series circuits will be different. Any such network’s Equivalent Resistance Formula is a single resistor that, when used in place of the entire network, produces the same result.

### What is the Equivalent Resistance?

The equivalent resistance is the point in a parallel or series circuit where the total resistance is measured (in either the whole circuit or in a part of the circuit). The Equivalent Resistance Formula is defined as the distance between two network terminals, or nodes. Although the term “equivalent resistance” may sound difficult, it is simply another way of saying “total resistance.” In order to get an equivalent current and/or voltage for a particular applied voltage while using a network, a single resistor can replace the entire network in its Equivalent Resistance Formula.

### The Formula for Equivalent Resistance

When a circuit contains many circuit components, it should be possible to determine the overall effective resistance of the circuit as a whole or for a single component.  The ability of a material or piece of equipment to resist the flow of electricity through it is measured as resistance. Resistance and current flow are inversely correlated. More resistance results in lower current flow, whereas lower resistance results in higher current flow.

### 1] Equivalent resistance formula for series resistance:

A set of resistors in an electrical circuit can be swapped out for a single equivalent resistor. The total of the individual resistances in a series of resistors will equal their equivalent resistance. The Ohm is the unit of resistance. Practical capacitors and inductors are not ideal components because they only have capacitance or inductance. To a very good approximation, they can be thought of as ideal inductors and capacitors connected in series with a resistance, which is known as the equivalent series resistance (ESR). If not stated otherwise, the ESR is always an AC resistance, which means that it is measured at specific frequencies.

### 2] Equivalent resistance formula for parallel resistance:

It is sometimes possible to replace a collection of resistors in electrical circuits with a single, equivalent resistor. The reciprocal of the resistance can be used to calculate the Equivalent Resistance Formula of a number of resistors linked in parallel. The reciprocals of each resistance added together will equal the reciprocal of the Equivalent Resistance Formula. The Ohm is the unit of resistance.

### Solved Examples for Equivalent Resistance Formula

Solved examples of the Equivalent Resistance Formula are available on the Extramarks website.