*71. ssm The circuit in the drawing contains five identical resistors. The 45-V battery delivers 58 W of power to the circuit. What is the resistance R of each resistor?

 

w1029

 

Start by adding the two resistors R3 and R4 in series.  Since they are both R we get one resistor valued 2R as shown in new drawing of circuit

Now we have three resistors in parallel so we can find the effective resistance from

 

 

The new circuit is

So our total resistance is found from the last two in series,

 

 

We know the power to the whole circuit is 58 W, so using power equation we get

 

Solve for R

 

 

 

 

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This page last updated on June 18, 2018