Question

deduce an expression for the equivalent resistance of three resistor connected in series.

Answer 1

Let the resistance of three conductors be respectively R1, R2 and R3.

When resistors are connected in series, the current across each resistor remains the same .

So,

Using Ohm's law

V eq = I R eq

V1 + V2 + V3 = I Req

Using ohm's law across each resistor

I R 1 + I R2 + I R3 = I R eq

I (R1 +R2+R3) =I Req

R1 +R2 +R3 = Req

This is the required answer.

Ohm's law states that the voltage across a conductor is directly proportional to the current flowing in the conductor.

V directly proportional to I

Or V=IR

where R is constant called resistance.

$\bf{Hope\:it\:helps}$

Answer 2

$\textbf{Answer is in Attachment !}$