Question

DERIVATION OF PARALLEL RESISTANCE!!​

Answer 1

Answer:

Hello ✌️✌️

$\: \: \: \: \: \: \:$

✷_________

Current through R1 is I1 =

$= \frac{V}{R1}$

$Current \: through R2 is I2$

$= \frac{V}{R2}$

$Current \: through R3 is I3$

$= \frac{V}{R3}$

And current through the circuit is

$I= \frac{V}{R}$

where R is equivalent resistance

Using above equations, we get

$I=I1+I2+I3$

or,

$I=v( \frac{1}{R1} + \frac{1}{R2} + \frac{1}{R3} )$

this means that,

$\frac{1}{ R} = \frac{1}{ R1} + \frac{1}{ R2} + \frac{1}{ R3}$