Consider the circuit shown in the figure below. (Assume R1 = 10.5 ?, R2 = 1.65 ?
ID: 1491200 • Letter: C
Question
Consider the circuit shown in the figure below. (Assume R1 = 10.5 ?, R2 = 1.65 ?, and V = 6.50 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)
the equivalent resistance of the R1 and 5.00 ohm = 10.5*5/(10.5 +5) = 3.387 ohm
b)
the combined resistance of the R1, 5.00 ohm and 4.00 ohm resistors = 3.387 + 4 = 7.387 ohm
c)
the required resistance = 7.387*3/(7.387 + 3) = 2.13 ohm
d)
the equivalent resistance = 2.13 + 1.65 = 3.78 ohm
e)
current = V/Req = 6.5/3.78 = 1.72 amp
f)
the voltage drop across the R2 resistor = 6.5*1.65/(2.13 + 1.65) = 2.84 volt
g)
the voltage across the 3.00 ohm = 6.5 - 2.84 = 3.66 volt
h)
current in 3 ohm = 1.72*7.387/(7.387 + 3) = 1.22 amp