Question

In a parallel circuit with three resistors connected to a power source, what would happen to the equivalent resistance and current if you removed any one of the resistors?

Answer 1

If any of the parallel resistors is cut away, then the equivalent resistance seen by the battery INCREASES, while the current and power delivered by the battery both DECREASE.

Answer 2

current will DECREASE in the circuit while equivalent resistance will INCREASE for the circuit

Step-by-step explanation:

If three resistors are connected in parallel then in that case the equivalent resistance of all three is given by

`(1)/(R_(eq)) = (1)/(R) + (1)/(R) + (1)/(R)`

so here we can say

`R_(eq) = (R)/(3)`

now the current in the circuit is given as

`i = (V)/(R_(eq)) = (3V)/(R)`

now if one of the resistance is removed from it

now the equivalent resistance is given as

`(1)/(R_(eq)) = (1)/(R) + (1)/(R)`

so it is given as

`R_(eq) = (R)/(2)`

now the current in the circuit is given as

`i = (V)/(R_(eq)) = (2V)/(R)`

So current will DECREASE in the circuit while equivalent resistance will INCREASE for the circuit