In the circuit shown below,
(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.
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
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
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