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- Ohms Law, 3 Formulas in Ohm's Law, Solved Examples

# Ohms Law, 3 Formulas in Ohm's Law, Solved Examples

**Updated **Feb 07, 2023

## Ohms Law

Ohm's Law states that the current flowing through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance between them. Mathematically, it can be represented as I=V/R, where I is the current, V is the voltage and R is the resistance. This law is a fundamental concept in electrical engineering and helps engineers understand and design electrical circuits. It explains the relationship between voltage, current and resistance and is used to calculate the power, resistance, and current in an electrical circuit. Ohm's Law is important for designing and analyzing electrical circuits, troubleshooting problems and determining the appropriate components and power ratings for a given circuit. Overall, Ohm's Law provides a simple yet powerful tool for understanding and controlling electrical circuits.

## Ohms Law Calculator

Ohm's Law Calculator is an online tool that helps to calculate the electrical parameters such as voltage, current, resistance, and power in an electrical circuit. The tool uses Ohm's Law, which states that the current flowing through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance between them. With the Ohm's Law Calculator, you only need to enter two of the four electrical parameters and the calculator will automatically calculate the other two.

For example, if you know the voltage and resistance, the calculator will calculate the current and power. The Ohm's Law Calculator is a useful tool for engineers, electricians, and students to easily and quickly perform electrical calculations without having to manually perform complex mathematical calculations. The Ohm's Law Calculator is also a great tool for learning about Ohm's Law and how it is used in electrical circuits.

## What are the 3 Formulas in Ohm's law?

Ohm's law states that the current flowing through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance of the conductor. This law can be expressed mathematically in three formulas:

- V = IR: This formula states that the voltage (V) across a conductor is equal to the current (I) flowing through it multiplied by its resistance (R). This formula is used to calculate the voltage drop across a resistor when the current and resistance values are known.
- I = V/R: This formula states that the current flowing through a conductor is equal to the voltage across it divided by its resistance. This formula is used to calculate the current flowing through a conductor when the voltage and resistance values are known.
- R = V/I: This formula states that the resistance of a conductor is equal to the voltage across it divided by the current flowing through it. This formula is used to calculate the resistance of a conductor when the voltage and current values are known.

In conclusion, Ohm's law provides a simple and fundamental relationship between current, voltage, and resistance, which is widely used in electrical engineering and physics. These three formulas are essential for understanding electrical circuits and calculating circuit parameters.

## Ohms Law Formula

Ohm's Law states that the current flowing through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance between them. Mathematically, it can be represented as I = V/R, where I is the current in Amperes (A), V is the voltage in Volts (V), and R is the resistance in Ohms (Ω). The formula is widely used in electrical engineering to calculate the current, voltage, and resistance in a circuit. It forms the basis of circuit analysis and design and helps in understanding the behavior of an electrical circuit under different conditions. Understanding Ohm's law is essential for anyone working with electrical circuits, whether in a laboratory or in practical applications.

## Ohm's Law and its SI unit?

Ohm's law is a fundamental principle in electrical engineering that states the relationship between the current flowing through a conductor, the voltage across the two points of the conductor, and the resistance of the conductor. The law states that the current flowing through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance of the conductor.

Ohm's law can be expressed mathematically as V = IR, where V is the voltage, I is the current, and R is the resistance. This formula implies that increasing the voltage across the conductor will increase the current flowing through it, while increasing the resistance of the conductor will reduce the current flowing through it.

The unit of Ohm's law is the International System of Units (SI). The unit of voltage is the volt (V), the unit of current is the ampere (A), and the unit of resistance is the ohm (Ω). This law is widely used in the design and analysis of electrical circuits, and it is essential for understanding the basic principles of electricity. In conclusion, Ohm's law provides a simple and fundamental relationship between current, voltage, and resistance that is widely used in electrical engineering and physics.

## Ohms Law Triangle

Ohm's Law Triangle is a graphical representation of Ohm's Law, which states that the current flowing through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance between them. The triangle is formed by connecting the three components of Ohm's Law: voltage (V), current (I), and resistance (R) at its vertices. The relationship between the three can be easily remembered and understood by studying the Ohm's Law Triangle, as it provides a visual representation of the mathematical formula I = V/R. The Ohm's Law Triangle is widely used by electrical engineers and technicians as a tool for circuit analysis and problem solving, making it a valuable tool in the field of electrical engineering.

## How to use Ohms Law?

Using Ohm's Law to analyze an electrical circuit is a simple process, and can be done in the following steps:

- Determine the known values: Identify the values of voltage (V), current (I), and resistance (R) that are already known in the circuit.
- Choose the formula to use: Based on the known values, choose the appropriate Ohm's Law formula to use. For example, if voltage and current are known, use the formula R = V/I.
- Plug in the values: Substitute the known values into the chosen formula and perform the calculation.
- Check the units: Ensure that the units of the calculated value match the units of the desired quantity.
- Repeat for other unknowns: Repeat the process for any other unknown values in the circuit.
- Consider the power: Ohm's Law can also be used to calculate power (P) in a circuit, using the formula P = IV.

By following these steps, Ohm's Law can be used to analyze and understand the behavior of an electrical circuit, helping to predict and control the flow of electricity in the circuit.

## How to Calculate Ohms Law?

Ohm's Law can be used to calculate the current (I), voltage (V), resistance (R), and power (P) in an electrical circuit. The formula used depends on the known values in the circuit.

- To calculate current (I), use the formula I = V/R, where V is the voltage in volts and R is the resistance in ohms.
- To calculate voltage (V), use the formula V = IR, where I is the current in amperes and R is the resistance in ohms.
- To calculate resistance (R), use the formula R = V/I, where V is the voltage in volts and I is the current in amperes.
- To calculate power (P), use the formula P = IV, where I is the current in amperes and V is the voltage in volts.

For example, if the voltage across a circuit is 12V and the resistance is 4Ω, the current flowing in the circuit can be calculated as I = V/R = 12V/4Ω = 3A. Similarly, the power can be calculated as P = IV = 12V * 3A = 36W.

It is important to note that Ohm's Law is based on linear relationships and only applies to resistive circuits. For more complex circuits, more advanced analysis techniques may be necessary.

## Ohms Law Solved Questions

Example 1: A resistor with resistance R = 4Ω is connected to a voltage source of V = 12V. Calculate the current flowing through the resistor.

Solution: I = V/R = 12V/4Ω = 3A

Example 2: A current of I = 2A flows through a resistor with resistance R = 6Ω. Calculate the voltage across the resistor.

Solution: V = IR = 2A * 6Ω = 12V

Example 3: A voltage of V = 10V is applied across a resistor with resistance R = 5Ω. Calculate the current flowing through the resistor.

Solution: I = V/R = 10V/5Ω = 2A

Example 4: A current of I = 1A flows through a resistor, and the voltage across the resistor is V = 10V. Calculate the resistance of the resistor.

Solution: R = V/I = 10V/1A = 10Ω

In conclusion, these examples demonstrate how Ohm's law can be used to calculate current, voltage, and resistance in electrical circuits. The relationship between these three parameters can be easily derived using Ohm's law, making it a useful tool in electrical engineering and physics.

## What does Ohms Law State?

Ohm's Law states that the current flowing through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance between them. This relationship can be expressed mathematically as I = V/R, where I is the current in amperes, V is the voltage in volts, and R is the resistance in ohms. Ohm's Law is a fundamental principle in electrical engineering and forms the basis for the analysis and design of electrical circuits. It is used to predict and control the flow of electricity in a circuit, and is widely applied in fields such as electronics, power systems, and telecommunications. Understanding Ohm's Law is essential for anyone working with electrical circuits and electrical engineering.

## What is Ohms Law?

Ohm's Law is a basic principle in electricity that describes the relationship between the current flowing in a conductor, the voltage across it, and the resistance of the conductor. In simple terms, it states that the amount of current flowing through a conductor is directly proportional to the voltage applied across it, and inversely proportional to its resistance. This relationship is expressed mathematically as I = V/R, where I is the current in amperes, V is the voltage in volts, and R is the resistance in ohms. Ohm's Law is widely used in electrical engineering to predict and control the flow of electricity in a circuit and forms the foundation for understanding the behavior of electrical systems.

## What is the Formula for Ohms Law?

Ohm's Law is expressed mathematically as I = V/R, where I is the current flowing in a conductor, V is the voltage across the conductor, and R is the resistance of the conductor. This formula states that the current (I) in a circuit is directly proportional to the voltage (V) across the circuit, and inversely proportional to the resistance (R) of the circuit. In other words, if the voltage increases, the current will also increase, and if the resistance increases, the current will decrease. The formula is used in electrical engineering to predict and control the flow of electricity in a circuit, and forms the foundation for understanding the behavior of electrical systems. It is important to note that Ohm's Law only applies to linear, resistive circuits and may not be valid for non-linear or reactive circuits. However, it remains a powerful tool for circuit analysis and is widely used in electrical engineering and related fields.

## Ohms Law - FAQs

**1. What is Ohm's Law?**

Ohm's Law states that the current flowing through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance between them.

**2. What is the formula for Ohm's Law?**

The formula for Ohm's Law is I = V/R, where I is the current in amperes, V is the voltage in volts, and R is the resistance in ohms.

**3. How is Ohm's Law used in electrical engineering?**

Ohm's Law is used in electrical engineering to predict and control the flow of electricity in a circuit. It forms the foundation for understanding the behavior of electrical systems and is widely used for circuit analysis and design.

**4. Does Ohm's Law apply to all types of circuits?**

Ohm's Law is based on linear relationships and only applies to resistive circuits. For more complex circuits, more advanced analysis techniques may be necessary.

**5. How can I use Ohm's Law to calculate current, voltage, resistance, or power in a circuit?**

Ohm's Law can be used to calculate any one of the four quantities in a circuit if the other three are known. The formula used depends on the known values.

**6. Is Ohm's Law still applicable in modern electrical engineering?**

Yes, Ohm's Law remains a fundamental principle in electrical engineering and is still widely used today. Despite advances in technology and the development of more advanced analysis techniques, Ohm's Law remains a crucial tool for anyone working with electrical circuits and systems.

**7. Can Ohm's Law be used for AC circuits?**

Yes, Ohm's Law can be applied to AC circuits with some modifications. The resistance, voltage, and current values may vary with time and with the frequency of the AC waveform, so a more complex analysis may be necessary to fully understand the behavior of an AC circuit.

**8. Is Ohm's Law always accurate?**

Ohm's Law is based on the assumption that the resistance of a conductor remains constant. In practice, the resistance may change due to factors such as temperature, current level, or material properties. Additionally, the relationship described by Ohm's Law only applies to linear systems, so more complex circuits may require more advanced analysis techniques. Despite these limitations, Ohm's Law remains a powerful tool for understanding and predicting the behavior of electrical circuits.

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