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As more resistors are added in parallel across a constant voltage source, the power supplied by the source as more resistors are added in parallel across a constant voltage source, the power supplied by the source increases for a time and then starts to decrease. increases. decreases. does not change.

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skyluke89

Answer:

increases

Explanation:

In a circuit, the power supplied by the source is given by:

[tex]P=VI[/tex] (1)

where V is the voltage of the source and I is the current in the circuit.

Using Ohm's law, we can rewrite the current as:

[tex]I=\frac{V}{R}[/tex]

where R is the equivalent resistance of the circuit. Substituting into (1), we can rewrite the power as

[tex]P= \frac{V^2}{R}[/tex] (2)

so we see that the power is inversely proportional to the resistance.

For resistors added in parallel, the equivalent resistance is given by the formula

[tex]\frac{1}{R}=\frac{1}{R_1}+\frac{1}{R_2}+...+\frac{1}{R_n}[/tex]

so we see that when adding new resistors in parallel, the term [tex]\frac{1}{R}[/tex] increases, so the equivalent resistance R will decreases. As a result, the power supplied by the source (given by eq.(2)) wil increase.

As more resistors are added in parallel across a constant voltage source the power will; increase

Formula for Poweer across a circuit with constant voltage is;

P = I²R

Where;

  • P is Power
  • I is current
  • R is resistance

  • Now, when resistors are connected in parallel, the total resistance is usually;

1/R = 1/R1 + 1/R2 + 1/R3....

Where R is total resistance.

This means that the more resistors you add in parallel, the greater the value of R.

  • Thus, from the Power equation, when R increases, then P will also increase.

Read more about Power - Resistance relationship at; https://brainly.com/question/1637533