Consider the circuit shown in the figure below. (Assume R1 = 7.00 ?, R2 = 1.80 ?

Question

Consider the circuit shown in the figure below. (Assume R1 = 7.00 ?, R2 = 1.80 ?, and V = 12.00 V.)

(a) Calculate the equivalent resistance of theR1and 5.00-?resistors connected in parallel.
?

(b) Using the result of part (a), calculate the combined resistance of theR1, 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 theR2resistor.
?

(e) Calculate the total current in the circuit.
A

(f) What is the voltage drop across theR2resistor?
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)7*5/(7+5)=2.92

b)2.92+4=6.92

c)3*6.92/(3+6.92)=2.1
d)1.8+2.1=3.9
e)v=ri

i=12/3.9=3.1 amp

f)v=1.8*3.1=5.6 v

g)v=12-5.6=6.42 v

h)i=6.42/3=2.14 amp

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