Please show all of you work and answer every question correcly, the first person

Question

Please show all of you work and answer every question correcly, the first person to do so will get rated "best answer".

1.) Consider the circuit in the drawing. (R1 = 5.0 ?, R2 = 24 ?, V1 = 35.0 V.)

(a) Determine the magnitude of the current in the circuit.
A

(b) Determine the magnitude of the voltage between the points labeled A and B.
V

(c) Select which point, A or B, is at the higher potential.

point A point B    

2.) The drawing shows a portion of a larger circuit. Current flows left to right in each resistor. What is the current in the resistor R? (Let R1 = 2.93 ?, R2 = 4.44 ?, and I1 = 3.24 A.)
A

3.) Using Kirchhoff's loop rule, find the value of the current I in part (c) of the drawing, where R = 3.4 ?.
I =

Explanation / Answer

1.) V = V1 - 10 = 35 - 10 = 25 V

Req = R1 + R2 + 8 + 12 = 5 + 24 + 20 = 49 ohms

a.) I = V/Req = 25/49 = 0.51 A

b.) VA + V1 - iR2 = VB

So VA-VB = iR2 - V1 = (25/49)*24 - 35 = -22.755 V

c.) Since VA - VB is negative, Point B is at higher potential

2.) Let the current in R be 'I'

I1 = (R2/(R1+R2)*I

So I = (R1+R2)*I1/R2 = (2.93+4.44)*3.24/4.44 = 5.378 A

3.) 36 - (I)(3) - 12 - (I)(4) - (I)(3.4) = 0

So I(3+4+3.4) = 24

So I = 30/13 = 2.3077 A

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