Consider the circuit shown in the figure below. Use the following as necessary:
ID: 2185508 • Letter: C
Question
Consider the circuit shown in the figure below. Use the following as necessary: R1 = 9.00 ?, R2 = 1.30 ?, and V = 11.00 V.http://www.webassign.net/sercp8/18-p-008-alt.gif
(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)R=R1||5O =8*5/(8+5) =3.077O b)R=3.077+4 =7.077O C)R =7.077*3/(7.077+3) =2.1O d)Req =R2+2.1 =1.9+2.1 =4O e)I=V/R =10/4 =2.5 A f)V =10*8/(8+2.1) =7.92V g)V=10-7.92 =2.08V h)I =2.08/3 =0.69A