Question

What happens to the total resistance when a fourth resistor is connected in a series with three resistors?

Answer 1

Well we know that when a resistor is connected in series

`R_n =R_1 + R_2 + R_3....`

So i am taking that the forth resistor has the same resistance as the first 3

`i.e. R_1=R_2=R_3=R_4`

Okay so lets say the increase `% =`Increase `/`original `* 100`

`= R_4/ (R_1 + R_2 + R_3) *1 00`

given that

`R_1=R_2=R_3=R_4`

We can rewrite as
`= R_4/ (3R_4) *100`
`=1/3 *100`

`therefore`Resistance increases by `30.333..... %`