Consider the circuit shown in the figure below. Use the following as necessary:
ID: 2185504 • Letter: C
Question
Consider the circuit shown in the figure below. Use the following as necessary: R1 = 7.00 ?, R2 = 2.30 ?, and V = 9.00 V.
(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)1/r(eq)=1/R1+1/5 r(eq)=2.91 o b)r(combined)=2.91+4=6.91 o c)1/r=1/6.91+1/3 r=2.09 o d)re=2.09+2.3=4.39 o e)i=v/re=2.05A f)v drop=i*R2=4.715 v g)v(3)=9-4.715=4.285 v h)i3=v3/3=1.42 A