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

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Answer 1 · 2015-03-16T04:42:06

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..... %#