Question

In: Physics

Two resistors when connected in series to a 120-VV line use one-fourth the power that is...

Two resistors when connected in series to a 120-VV line use one-fourth the power that is used when they are connected in parallel.

Part A

If one resistor is 2.6 kΩkΩ , what is the resistance of the other?

Solutions

Expert Solution

Let the other resistance is X.

Let the equivalent resistance for series connection is Rs.

Let the equivalent resistance for the parallel connection is Rp.

Let the power for series connection is Ps.

Let the power for the parallel connection is Pp.

The value of equivalent resistance for series is

The value of equivalent resistance for parallel is

We know the power is inversely proportional to the equivalent resistance when the supply voltage is constant.

  

  

  

  

  

The value of other resistance is 2600 or 2.6 k.


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