To practice Problem-Solving Strategy 25.1 Resistor Circuits. Find the currents t

Question

To practice Problem-Solving Strategy 25.1 Resistor Circuits. Find the currents through and the potential difference across each resistor in the circuit shown on the diagram (Figure 1) . Use the following values: E = 12.0V , R1 = 15.0 , R2 = 45.0 , R3 = 20.0 , and R4 = 25.0 .

Part A

Step by step, reduce the circuit to the smallest possible number of equivalent resistors in order to find the equivalent resistance Req of the entire circuit.

Express you answer in ohms to three significant figures.

Part B

Find Ieq, the current through the equivalent resistor.

Express your answer in amperes to three significant figures.

Explanation / Answer

R34= 20+25= 45? (20 And 25 series)
R234= 45/2= 22.5? (45 And 45 parallel)
R1234= 15+22.5= 37.5? (15 And 22.5 series)
I1= 12/37.5= 0.32A
I2= 1/2*0.32= 0.16A
I3= 1/2*0.32= 0.16A
I4= I3= 0.16A

V1= 15*0.32= 4.8V
V2= 45*0.16= 7.2V
V3= 20*0.16= 3.2V
V4= 25*0.16= 4.0V

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