Consider the circuit shown in the figure below. (Assume R 1 = 12.0 ?, R 2 = 3.90
ID: 2289048 • Letter: C
Question
Consider the circuit shown in the figure below. (Assume R1 = 12.0 ?, R2 = 3.90 ?, and V = 6.35 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) (12 x 5)/(12 + 5) = 3.52?.
b) (3.52 + 4) = 7.52?.
c) (7.52 x3)/(7.52 + 3) = 2.144?.
d) (2.144 + 3.9) = 6.044?.
e) Current I = (E/R) =6.35/8.188, =.775A.
f) V across R2 E = (IR) =.775 x 3.9, = 3.0225V.
g) (6.35 - 3.0225) = 3.32V.
h) Current I = (E/R) = 3.32/3, = 1.1066A.