(a) Draw the simplest equivalent circuit and label the values of the resistor(s)

Question

(a) Draw the simplest equivalent circuit and label the values of the resistor(s).(b) What current flows from the battery?

_____ A

(c) What is the potential difference between points A and B?
_____V

(d) What current flows through each branch between points A and B?

(e) Determine the power dissipated in the 49.0-? resistor, the 66.0-? resistor, and the 42.0-? resistor.
49.0 ? resistor ________W
66.0 ? resistor _______ W
42.0 ? resistor _______ W

Iupper branch = ______ A Ilower branch = ______A Consider the circuit in the diagram. Let R1 = 49.0 ?, R2 = 42.0 ?, R3 = 66.0 ?, R4 = 10.0 ?, and V = 105 V. Draw the simplest equivalent circuit and label the values of the resistor(s).(b) What current flows from the battery? What is the potential difference between points A and B?

Explanation / Answer

R2 and R4 in series R2+R4=42+10=52

similarly R3+R4=76

52 and 76 in paralle effective R =52*76/(52+76)=30.875

Total of circuit + R4+R1+Reff= 10+49+30.875=89.875

Current flwo from abttery= 105/89.875=1.168 A

Potential difference A nd B= I *R eff =1.168*30/875=36.062

In A to B current 1.168 divides in inverse of their ratio

upper brance =1.168*76/(52+76)=.6935 A

lower branch =.4745 A

Power Diispiate

49 reisis = I^2 *R= 1.168^2 * 49=66.846

66 resis= .4745^2*66=14.85

43 resis = .6935^2*42 =20.199

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