Question

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Describe Ohm's Law.

Class 10th Science.



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Answer 1

Answer :-

Step-by-step explanation :-

Ohm's law .

→ Ohm's law gives a relationship between current and potential difference .

→ According to Ohm's law : At constant temperature , the current flowing through a conductor is directly proportional to the potential difference across its end .

→ If I is the current flowing through a conductor and V is the potential difference ( or voltage ) across its ends , then according to Ohm's law :

$I \propto V$ ( At constant temperature ) .

This can also be written as : $V \propto I$

Or V = R × I .

Where R is a constant called “resistance” of the conductor .

★ Resistance of a conductor : The property of a conductor due to which it opposes the flow of current through it is called resistance .

→ The resistance of a conductor depends on length, thickness, nature of material and temperature of the conductor.

→ The SI unit of resistance is ohm( Ω ) .

Answer 2

$\huge \bf \red{ \mid{ \overline{ \underline{ANSWER}}} \mid}$

$\bf \pink{ohms \: law}$

At the constant temperature and pressure the current flowing in any circuit is directly propotional to the potential difference.

→ potential difference is directly proportional to the current.

hence

v = I × R

Here

v is voltage

I is current

and

R is constant called resistance.

Now ,

Proof :-

Let any conductor having length l.

$\bf{E \: = \frac{v}{l} ......(1)}$

I = neAVd

$\bf \implies \: neA \frac{eE}{m}$

$\bf \implies \: i \: = \frac{ {ne}^{2} AE}{m}$

$\bf \implies \frac{ {ne}^{2} Av}{lm}$

$\bf \implies \: \frac{ {ne}^{2} A \times t}{lm}$

$\bf \implies \frac{v}{i} = \frac{ml}{ne ^{2} A \times t} = constant$

$\bf \implies \frac{v}{i} = R$

$\huge{v = iR}$

$\huge \green{\boxed{ \boxed{PROVED}}}$