Consider the circuit shown in the figure below. (Assume R 1 = 6.00 ? , R 2 = 1.9

Question

Consider the circuit shown in the figure below. (Assume R1 = 6.00 ?, R2 = 1.90 ?, and V = 12.00 V.)

Consider the circuit shown in the figure below. (Assume R1 = 6.00 ?, R2 = 1.90 ?, and V = 12.00 V.) Calculate the equivalent resistance of the R1 and 5.00-? resistors connected in parallel. Using the result of part (a), calculate the combined resistance of the R1, 5.00-?, and 4.00-? resistors. Calculate the equivalent resistance of the combined resistance found in part (b) and the parallel 3.00-? resistor. Combine the equivalent resistance found in part (c) with the R2 resistor. Calculate the total current in the circuit. What is the voltage drop across the R2 resistor? Subtracting the result of part (f) from the battery voltage, find the voltage across the 3.00-? resistor. Calculate the current in the 3.00-? resistor.

Explanation / Answer

(a)

R1=6 and 5 ohm resistors are in parallel

6*5/[6+5]=2.7272 ohm

(b)2.7272+4=6.7272 ohm

(c)6.7272*3/[6.7272+3]=2.075 ohm

(d)1.9+2.075=3.975 ohm

(e)12/3.975=3.02 A

(f)3.02*1.9=5.736 volts

(g)12-5.736=6.264 volts

(h)6.264/3=2.088 A

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