Derivation of ohms low ?

Question

Answer

Answer

Ohm's law:- Ohm's law states that 'current flowing in conductor is directly proportion to potential difference between end of conductor if we take physical factor like temperature as constant.'
So,
V is directly proportion to I
V=I×R.

here, V=potential difference, I= current and
R is constant called 'resistance'. The value of r dependent upon nature, length, cross section area and temperature of the conductor.

Answer

Ohm's law and its derivation. Mobility of electron (ue) is defined as the drift velocity of electron per unit electric field applied. Where R is known as resistance of the conductor . It depends upon the length ,shape and the nature of the material of the conductor.....

Answer

In SIMpal way

aCC. to OHMS law

V IS

directly proportion to I (1)

V = IR (2)

WHERE R is a constant n stands for RESISTANCE

Answer

Ohm's Law is a fundamental principle in electrical engineering that describes the relationship between current, voltage, and resistance in an electrical circuit. It was named after the German physicist Georg Simon Ohm, who discovered this relationship in the early 19th century.

Ohm's Law Equation:
The equation that represents Ohm's Law is:
V = I * R

Where:
- V represents voltage (measured in volts, V)
- I represents current (measured in amperes, A)
- R represents resistance (measured in ohms, Ω)

The Relationship:
According to Ohm's Law, the current flowing through a conductor is directly proportional to the voltage applied across it, and inversely proportional to the resistance of the conductor. In other words, the current increases as the voltage increases, and decreases as the resistance increases.

Mathematical Explanation:
To understand the derivation of Ohm's Law, we can start with the basic definition of current. Current (I) is defined as the rate of flow of charge (Q) through a conductor over time (t). Mathematically, it can be expressed as:
I = Q / t

Now, let's consider a conductor with a constant resistance (R). According to Ohm's Law, the voltage (V) across the conductor is directly proportional to the current. So we can write:
V ∝ I

Combining the above two equations, we get:
V ∝ Q / t

To remove the proportionality, we introduce a constant of proportionality (denoted by R):
V = R * (Q / t)

Simplifying the equation, we find:
V = (R * Q) / t

Since Q / t is the definition of current (I), the equation becomes:
V = R * I

Conclusion:
In conclusion, Ohm's Law states that the voltage across a conductor is equal to the product of the current flowing through it and the resistance of the conductor. It provides a fundamental relationship that helps us understand and analyze electrical circuits. Ohm's Law is widely used in various fields of electrical engineering, from designing circuits to troubleshooting and calculating power dissipation.

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