Assume the resistance values are R1-2,500 , R2-1,500 . R3-4,800 n, and the batte

Question

Assume the resistance values are R1-2,500 , R2-1,500 . R3-4,800 n, and the battery emf is -13 Analyze the circuit in the figure below. R2 RI R3 (a) Express the resistors in parallel as a single equivalent resistor. What is the value of this resistor? (b) Combine this equivalent resistor with R1 to get the total equivalent resistance of the circuit. What is the value of this resistor? (c) The circuit is now "reduced" to a battery in series with a single equivalent resistance. Use your result from part (b) to find the current through the battery and resistor R1

Explanation / Answer

a)

R2 and R3 are in parallel combination, their equivalent is R23

1/R23=1/R2+1/R3

1/R23 = 1/1500 + 1/4800

R23 = 1142.86

b)

R1 and R23 are in parallel combination, their equivalent is R123

R123+R1+R23 = 2500+1142.86 = 3642.86

c)

I = E1/R123 = 1.3/3642.86 = 3.6*10^-4 A

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