Question

derive the ohms laws

Answer 1

Answer:Ohm's law states that the voltage or potential difference between two points is directly proportional to the current or electricity passing through the resistance, and directly proportional to the resistance of the circuit. The formula for Ohm's law is V=IR.

Explanation:

Answer 2

What is Ohm's Law ?

• Ohm’s law states that the potential difference(V) between any 2 points is directly proportional to the current(I) passing through the resistance !!

• Or simply just remember ,

• Voltage = Current × Resistance

• SI unit of resistance is ohms and is denoted by Ω.

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★ Derivation :

Let us consider any metallic element !!

Then,

If current(I) passes through a metallic element when a potential difference (V) is applied to that element , i. e.,

$\rm \large \ I \propto V$

So, here the proportionality constant(1/R) and the Ohm’s law eqn itself becomes,

$\dashrightarrow \rm \large \ \ \ I = \dfrac{1}{R}V$

$\dashrightarrow \rm \large \ \ \ I = \dfrac{V}{R}$

$\dashrightarrow \rm \large \ \ \ V = IR$

Where,

R is the constant for the metallic element and is called as its resistance.

Thus, Ohm's Law can be expressed with the formula,

$\dashrightarrow \rm \large \ \ \ V = IR$

Where,

V is the Potential difference across the metallic element.

I is the current flowing through the element.

R is the resistance of the element.

Hence derived!!

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