Answer:
The total resistance decreases
Explanation:
The total resistance of a parallel circuit is given by:
[tex]\frac{1}{R_T}=\frac{1}{R_1}+\frac{1}{R_2}+...[/tex]
where R1, R2, etc. are the individual resistances.
We notice that if we add one more resistor in parallel, we add another positive term [tex]\frac{1}{R}[/tex] to the sum, therefore the term [tex]\frac{1}{R_T}[/tex] increases. However, this term is the reciprocal of the total resistance: therefore, this means that the total resistance will decrease.
