Question

Define ohm's law and write the mathematical derivation

Answer 1

Please mark it as the brainliest answer if you have understood.   OHM'S LAW- The potential difference across a conductor is directly proportional to the current flowing through it, provided the temperature and other physical conditions remain unchanged.  V ∝ I   V= IR, where R is a constant.

Answer 2

Step-by-step explanation:

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

$\bf \pink{OHM'S \: LAW}$

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.

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

I = neAVd

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

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

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

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

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

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

$\bf\huge{v = iR}$