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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?

Respuesta :

AL2006

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:

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

Explanation:

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

[tex]\frac{1}{R_{eq}} = \frac{1}{R} + \frac{1}{R} + \frac{1}{R}[/tex]

so here we can say

[tex]R_{eq} = \frac{R}{3}[/tex]

now the current in the circuit is given as

[tex]i = \frac{V}{R_{eq}} = \frac{3V}{R}[/tex]

now if one of the resistance is removed from it

now the equivalent resistance is given as

[tex]\frac{1}{R_{eq}} = \frac{1}{R} + \frac{1}{R}[/tex]

so it is given as

[tex]R_{eq} = \frac{R}{2}[/tex]

now the current in the circuit is given as

[tex]i = \frac{V}{R_{eq}} = \frac{2V}{R}[/tex]

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