Consider the circuit shown in the figure below. (Assume R 1 = 7.00 , R 2 = 1.90

Question

Consider the circuit shown in the figure below. (Assume R1 = 7.00, R2 = 1.90, and V = 12.00 V.)

(a) Calculate the equivalent resistance of the R1 and 5.00-%u03A9 resistors connected in parallel.
%u03A9

(b) Using the result of part (a), calculate the combined resistance of the R1, 5.00-%u03A9, and 4.00-%u03A9 resistors.
%u03A9

(c) Calculate the equivalent resistance of the combined resistance found in part (b) and the parallel 3.00-%u03A9 resistor.
%u03A9

(d) Combine the equivalent resistance found in part (c) with the R2 resistor.
%u03A9

(e) Calculate the total current in the circuit.
A

(f) What is the voltage drop across the R2 resistor?
V

(g) Subtracting the result of part (f) from the battery voltage, find the voltage across the 3.00-%u03A9 resistor.
V

(h) Calculate the current in the 3.00-%u03A9 resistor.

A

Explanation / Answer

1. R1ll5

7*5/(7+5)

35/12=2.91

2.2.91+4=6.91

3.6.91ll3

6.91*3/(6.91+2)

6.91*3/8.91=2.32

4.2.32+1.9=4.21

5.i = V/Req

i=12/4.21=2.85A

6.V across R2=i*R2

2.85*1.9=5.41

7. 12-5.41=6.58

8.i=V/R

i=6.58/3

i=2.19

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