If r1 is in series with parallel connected to r2 and r3, what happens to total current if r2 opens?

1 Answer
Jun 16, 2015

If r1 is in series with parallel connected to r2 and r3, the total current decreases if r2 opens.

Explanation:

Before opening of r_2

R_(eq1)=r_1+(r_2r_3)/(r_2+r_3)

R_(eq1)=r_1+(r_3)/(1+r_3/r_2)" "color(green)((1))

After opening of r_2:

hence r_2=infinity" "color(green)((2))

write down" "color(green)((1)) after substitution of" "color(green)((2))

R_(eq2)=r_1+r_3[sincer_3/r_2=0 if r_2=infinity]

R_(eq2)=r_1+r_3" "color(green)((3))

from " "color(green)((1))&color(green)((3))

R_(eq2)>R_(eq1)

If resistance value is increased under constant application voltage and constant temperature ,then the rate of change of charge with respect to time decreases according to ohm's law.
Iprop1/R at constant voltage.

Therefore,the total current color(blue)(decreases) if r2 opens.