In the circuit shown below,

Question

(a) Find Ra = R7 || R8.

(b) Find Rb = R6 + Ra.

(c) Find Rc = R5 || Rb.

(d) Find Rd = R2 || R3.

(e) Redraw the circuit consisting of Vs, R1, Rd, R4, and Rc. Find the equivalent resistance Req

seen from the voltage source.

(f) Find the current I1 through R1, Rd, R4, and Rc.

(g) Find the voltage across R1, voltage across Rd, voltage across R4, and voltage across Rc.

(h) Find the voltage V1, voltage V2, and voltage V3.

(i) Find the currents I5 and I6.

(j) Find the voltage V4, and currents I7 and I8.

Answer 1

Vs=12;

R1=2000;R2=2000;R3=3000;R4=800;R5=4000;R6=2000;R7=3000;R8=6000;

Ra=P([R7,R8])

Rb=R6+Ra

0

R1

2k

Rc

2k

I1 V1 Rd V3

1.2k

R4

0.8k

V2

Vs

12V

6

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Rc=P([R5,Rb])

Rd=P([R2,R3])

Req=R1+Rd+R4+Rc

I1=Vs/Req

VR1=R1*I1

VRd=Rd*I1

VR4=R4*I1

VRc=Rc*I1

Sum1=VR1+VRd+VR4+VRc

V1=Vs-VR1

V2=Vs-VR1-VRd

V3=V2-VR4

I5=V3/R5

I6=V3/Rb

V4=V3-R6*I6

I7=V4/R7

I8=V4/R8

Answers:

Ra =

2000

Rb =

4000

Rc =

2000

Rd =

1200

Req =

6000

I1 =

0.002000000000000

VR1 =

4

VRd =

2.400000000000000

VR4 =

1.600000000000000

VRc =

4

Sum1 =

12

V1 =

8

V2 =

5.600000000000000

V3 =

4.000000000000000

I5 =

9.999999999999998e-04

I6 =

9.999999999999998e-04

V4 =

2

I7 =

6.666666666666666e-04

I8 =

3.333333333333333e-04