# Total Resistance of Series and Parallel Circuit Calculator

Series and Parallel Circuit Total Resistance Calculator is a tool designed to calculate the sum of resistances in electrical circuits.

Series and Parallel Circuit Total Resistance Calculator is a tool designed to calculate the sum of resistances in electrical circuits. This calculator accurately calculates the total resistance taking into account the series or parallel connections of resistors in electrical circuits. Important for the design and analysis of electrical circuits, this calculator is a useful tool for electrical engineers, students and hobbyists.

When using Online Series and Parallel Circuit Total Resistance Calculator: You can calculate by entering Total Voltage, Total Current and Total Power.

R_1 = \frac{V_t}{I_t} R_2 = \frac{V_{t2}}{P_t} R_3 = \frac{P_t}{I_{t2}}

Where:

R1: Total Resistance by Vt and It

R2: Total Resistance by Vt and Pt

R3: Total Resistance by Pt and It

Vt: Total Voltage

It: Total Current

Pt: Total Power

Table of contents:

## How to Calculate the Total Resistance of Series and Parallel Circuits?

Total resistance in series and parallel circuits is calculated as follows:

**1. Total Resistance in Series Circuits:**

In series connected circuits, resistors are connected consecutively to each other. The total resistance is the sum of the sum of these resistors. That is, the resistance of each resistor is added sequentially.

For example, in a circuit where two resistors (R1 and R2) are connected in series, the total resistance (R_total) is calculated as follows:

R_{total} = R1 + R2**2. Total Resistance in Parallel Connected Circuits:**

In parallel connected circuits, resistors are connected in parallel. Total resistance is calculated by taking the inverse of the sum of the reversible (reciprocal) resistors. That is, the reversible value of each resistor (1/R) is summed and the inverse of this sum is taken.

For example, in a circuit where two resistors (R1 and R2) are connected in parallel, the total resistance (R_total) is calculated as follows:

\frac{1}{R_{total}} = \frac{1}{R1} + \frac{1}{R2}These formulas are used to calculate the total resistance in series and parallel connected circuits.

### What is a Series Circuit?

A series circuit is a type of circuit in electrical circuits in which components are connected to each other sequentially. The components connected in series are arranged in such a way that electric current must flow along a single path. That is, the current flowing through one component passes directly to the next component and no circuit loop is formed.

In series circuits, there is the same current value between the components, while their voltage values are equal to the total voltage. Therefore, the total resistance in series circuits is equal to the sum of the resistances of the components. Series circuits are often used in simple electrical circuits where components such as lamps, switches and resistors are connected sequentially.

### What is a Parallel Circuit?

A parallel circuit is a type of circuit in electrical circuits in which components are connected in parallel. The components connected in parallel are arranged in such a way that electric current flows along different paths. That is, the components parallel to each other in the circuit have the same voltage, but different currents flow through the circuit.

In parallel circuits, each component completes the circuit loop to which it is connected. Thus, in parallel circuits, the voltage between the components remains the same, while the currents equal the total current. Parallel circuits are commonly used when devices with different voltage or current requirements need to be connected to the same power supply. For example, the outlets of a house are connected to the same electrical panel through parallel circuits so that each outlet can receive an independent current.

### Basic Properties of Series and Parallel Circuits

The basic properties of series and parallel circuits are as follows:

**Series Circuits:**

- Current Constancy: In series circuits, the current is the same in each component. That is, the same current value is found throughout the circuit.
- Voltage Division: In series circuits, the voltage is divided between the components. The total voltage is equal to the sum of the voltages of the components connected in series.
- Total Resistance: In series circuits, the sum of resistances is equal to the sum of the resistances of the components.
- Circuit Breakability: When one component fails, the circuit is broken and the other components become ineffective.

**Parallel Circuits:**

- Voltage Constancy: In parallel circuits, each component has the same voltage. That is, the same voltage value is found throughout the circuit.
- Current Division: In parallel circuits, the current is divided between the components. The total current is equal to the sum of the currents of the components connected in parallel.
- Total Resistance: In parallel circuits, the total resistance is calculated by taking the inverse of the sum of the reversible (reciprocal) resistances.
- Circuit Breakdown: When one component fails, the circuit is not broken and the other components continue to function normally.

Series and parallel circuits are used in the design and analysis of different electrical circuits and each has advantages and disadvantages.

### Uses and Applications of Series and Parallel Circuits

**Uses and Applications of Series Circuits:**

- Sequence Lamps: Interconnected lamps are used in series circuits, forming a successive row.
- Battery packs: Multiple batteries are connected in series to increase the total voltage.
- Array resistors: Resistors can be connected in series to achieve the desired total resistance.
- Array switches: Switches connected in series are used in situations where they need to be controlled one after the other.

**Uses and Applications of Parallel Circuits:**

- Sockets: Sockets in the home are connected in parallel, each to power an independent appliance.
- Parallel lamps: Multiple lamps can be connected in parallel to light a room.
- Automotive circuits: In automobiles, headlights, horns and other electrical components are often used in parallel circuits.
- Circuit protection: Parallel circuits ensure that if one component fails, the others will work, thus ensuring continuity of the system.

These basic features and uses show how series and parallel circuits are used for different purposes in electrical applications.