Ohm’s Law Formula.

Introduction:-

Today I will discuss an important content of physics Ohm’s Law Formula, hope all of you love my discussion.

Explanation:-

Ohm’s Law is a fundamental concept in electrical engineering that describes the relationship between the voltage applied to an electrical circuit and the resulting current flow, which can be describe,At constant, temperature and pressure the flow of current(I) through a metallic conductor is directly proportional to the potential difference(V) of its two ends, which is known as Ohm’s law of electricity.
Mathematically, it can be expressed as,
I ∞ V
=> I = V/ R [ Where, R is a special constant of proportionality, is called resistance of the conductor.]
In its simplest form, Ohm’s Law can be expressed as the following formula:
V = IR

where V is the voltage applied, I is the current flow, and R is the resistance of the circuit. This formula is essential for understanding and designing electrical circuits, and it has a wide range of applications in various industries.
The above Formula is also related with the following formulae:-
P = VI
where, P = Electric Power
V = Potential difference
I = Electric Current.
Again,
P = VI
= I × R× I [ ∵ V = IR ]
= I² × R
where, P = Electric Power
I = Electric Current
R = Resistance
Now, let us,quick know

* What is Electric Power?

Answer:- The rate of electric energy generated in an electric circuit per unit time is termed as Electric Power.It is denoted by P.
Mathematically,
P = W / t
Where,
P = Electric Power
W = Electric Energy
and, t = Time
It’s S.I unit is Joule / sec which is known as watt and its bigger unit is kilo watt.

What is Potential difference?

Answer:- Potential difference of an electric field can be define as the amount of work is done in moving a unit positive charge without acceleration from one point to another.
Mathematically,
V = W/q
where, V = Potential difference
W = Work done
q = Unit positive charge.

* What is Current?

Answer :- The flow charges per unit time though a metallic conductor is termed as current or electric current. It is denoted by (I).
Mathematically, Current can be expressed as ,
I = q / t
Where,
q = Charge
t = Time
In another way we can explain the rate of flow of electrons in a metallic conductor is termed as current.

What is Resistance?

Answer:- Resistance or electric resistance can be defined as the ratio between the potential difference to the current flowing through any conductor. It is denoted by ‘R’
Mathematically,
R = V/I
where,
R = Resistance
V = Potential difference
and I = Current

Some Problems related on Ohm’s Law Formula:-

(1) The resistance of an electric circuit is 10 ohm has a potential difference 20 volt, find the flow of current in the circuit.

Answer:- Here,
Resistance of the circuit(R) = 10 ohm
Potential difference (V) = 20 volt
∴ Flow of current (I) = V/R
= 20/10
= 2 Ampere

(2) An electric motor has a power 2 kwt and current flowing through it 5 amp,find the potential difference across the circuit.

Answer:-
Here,
Electric Power(P) = 2kwt
= 2000 wt [∵1000wt = 1kilo watt]
Current (I) = 5 A
∴ Potential difference (V) = P/I
= 2000/5
= 400 volt

(3) A current of 20 A passing through a circuit has a resistance of 2 ohm, is connected to a electric motor, find the power of the motor.

Answer:-
Current (I) = 20 A
Resistance (R) = 2 ohm
∴ Power of the motor (P) = I² R
= 20 × 20 × 2 watt
= 800 watt
= 800/1000 kw [∵1000 wt = 1kwt]
= .8 kw

History of Ohm’s Law:-

Ohm’s Law is named after Georg Simon Ohm, a German physicist who first observed the relationship between the applied voltage and current flow in a circuit in 1827. Ohm’s experiments demonstrated that at constant temperature and pressure the current flowing through a wire was directly proportional to the voltage applied across it, and inversely proportional to the resistance of the wire. He expressed this relationship using a mathematical formula, which became known as Ohm’s Law.
Over the years, Ohm’s Law became a critical tool for scientists and engineers in various fields, including electrical engineering, physics, and telecommunications. Today, it remains a fundamental concept in electrical engineering and is widely used in design and analysis of electrical circuits.

Understanding the Ohm’s Law Formula:-

The Ohm’s Law formula is a simple equation that describes the relationship between voltage, current, and resistance in an electrical circuit. The formula states that the voltage applied to a circuit is equal to the product of the current flowing through the circuit and the resistance of the circuit.
This formula has significant implications for the design and analysis of electrical circuits. It can be used to calculate the voltage, current, or resistance of a circuit, given the values of the other two variables. For example, if we know the voltage applied and the resistance of a circuit, we can use the Ohm’s Law formula to calculate the current flow through the circuit.

Applications of Ohm’s Law:-

Ohm’s Law has a wide range of applications in various industries, including electrical engineering, physics, and telecommunications. Here are some of the most common applications of Ohm’s Law:

1. Circuit Design and Analysis

Ohm’s Law is a crucial tool for designing and analysing electrical circuits. By applying the Ohm’s Law Formula, designers can calculate the voltages, currents, and resistances of different components in a circuit, which allows them to optimize the design for the desired performance.

2. Electrical Safety

Ohm’s Law is also essential for electrical safety. By understanding the relationship between voltage, current, and resistance, electricians can ensure that electrical equipment and circuits are designed and installed correctly to prevent accidents.

3. Electronic Devices

Ohm’s Law also applies to the design and operation of electronic devices, such as computers, smartphones, and televisions. The principles of Ohm’s Law are used to design and optimize the circuits that power these devices, ensuring they operate efficiently and safely.

4. Telecommunications

Ohm’s Law plays a critical role in the design and operation of telecommunication networks, such as radio and television broadcasting, cellular networks, and satellite communications. By applying the principles of Ohm’s Law, engineers can optimize the design of these networks to ensure that they deliver reliable and efficient performance....

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