Question

As more resistors are added in parallel across a constant voltage source, the power supplied by the sourcea. decreases.b. does not change.c. increases.

Answer 1

C. increases

Step-by-step explanation:

The total resistance of a parallel circuit is given by:

`(1)/(R_T)=(1)/(R_1)+(1)/(R_2)+...`

where R1, R2, etc. are the individual resistances.

From the formula, we notice that as new resistors are added to the configuration, the total resistance
`R_T` decreases.

According to Ohm's law, the current flowing in the circuit is inversely proportional to the total resistance:

`I=(V)/(R_T)`

where V is the voltage supplied by the source: so, when adding more resistors in parallel, the total resistance decreases and the current increases.

Finally, the power supplied by the source is

`P=VI`

we said that V (voltage) remains constant, while I (the current) increases, so the power supplied increases as well.