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Consider the circuit shown in the figure below. (Assume R1 = 11.5 , R2 = 2.05 ,

ID: 1590115 • Letter: C

Question

Consider the circuit shown in the figure below. (Assume R1 = 11.5 , R2 = 2.05 , and V = 7.40 V.)

18-p-008-alt.gif  ( image of picture)

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


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


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


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


(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- resistor.
V

(h) Calculate the current in the 3.00- resistor.
A

Explanation / Answer

a) or parallel : Req = (1/11.5 + 1/5.00)^-1
Req = 0.2869
b) for series :0.2869 + 4 = 4.2869

c) Req = (1/4.2869 + 1/3)^-1 =1.766

d) 1.766 + 1.80 = 3.566

e) V=IR .. I = V/R = 6.00/3.566 = 1.68 A

f) V2 = I x R2 = 1.68 A x 1.8 =3.033

g) V3 = 6 -V2 =6-3.033=2.966V

h) I3 = V3/3 =2.966/3=0.988 A

calculation may be diff concept is right