P 2.4-5 A voltage source and two resistors are connected in parallel in the circuit shown in Figure P 2.4-5. Elements connected in parallel have the same voltage, so v1 = vs and v2 = vs in this circuit. Suppose that vs = 150 V, R1 = 50 Ω, and R2 = 25 Ω. Calculate the current in each resistor and the power absorbed by each resistor.

 

Hint: Notice the reference directions of the resistor currents.

 

Answer: i1 = 3 A and i2 = –6 A. R1 absorbs 450 W and R2 absorbs 900 W.

 

Figure P 2.4-5

For Resistor 1

Ohm’s Law provides

Note this current is positive as the drawn current direction is the way the current would flow through R1.

 

Power is obtained by

 

For Resistor 2

Ohm’s Law provides

Note this current is negative as the drawn current direction is the opposite way the current would flow through R2.

 

Power is obtained by

 

 

 

Please send any comments or questions about this page to ddonovan@nmu.edu

This page last updated on December 28, 2018