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Student Number:
Seat Number:
Rating:
INSTRUCTIONS: Solve the following problems. Show your solution, round off your final answer to three decimal
places and box your final answers.
Problem #1
1. Referring to figure 1, find the total resistance Req when the circuit connected to an ohmmeter. (15pts)
2. Referring to figure 2, if V, = 15V, R₁ = 300, R2 = 500 and R3 = 15.2. Complete the table below by solving the
currents, voltages, powers consumed by each resistors. Solve the total power consumed by the circuit. Show your
solutions. P=
1 =
½₂ =
(20 pts)
V₁ =
V₂ =
√3 =
13 =
3. Convert the circuit shown in figure 3 from Wye to Delta. (15pts)
P₁ =
P₂ =
P3 =
402
ww
Req
wwwwwwww
202
202
8 Ω
Figure 3
www
60
R₁
ww
Figure 3
ww
R3
R₁
30 Ω
a
www
20 Ω
wwwb
50 Ω
C
Figure 3
Problem # 2
1. Referring to figure 1, find the total resistance Req when the circuit connected to an ohmmeter. (15pts)
2. Referring to figure 2, if V, = 20V, R₁ = 250, R2 = 150 and R3 = 240. Complete the table below by solving the
currents, voltages, powers consumed by each resistors. Solve the total power consumed by the circuit. Show your
solutions. Pt
=
1₁ =
1₂ =
13 =
3.
bo
(20pts)
V₁
=
V₂ =
V3 =
Convert the circuit shown in figure 3 from Delta to Wye. (15pts)
50
20 Ω
10 Ω
Figure 6
www
40 Ω
R₁
Figure 6
P₁ =
P₂ =
P3 =
a
60 Ω
ww
b
30 Ω
1052
R
R3
C
Figure 6
/100
​

Student NumberSeat NumberRatingINSTRUCTIONS Solve The Following Problems Show Your Solution Round Off Your Final Answer To Three Decimalplaces And Box Your Fina class=

Sagot :

Judeenricsidn

Answer:

### Problem #1

1. \( R_{\text{eq}} = 9.5 \, \Omega \)

2.

- \( I_1 = I_2 = I_3 = 0.016 \, \text{A} \)

- \( V_1 = 4.8 \, \text{V} \)

- \( V_2 = 8.0 \, \text{V} \)

- \( V_3 = 2.4 \, \text{V} \)

- \( P_1 = 0.0768 \, \text{W} \)

- \( P_2 = 0.128 \, \text{W} \)

- \( P_3 = 0.0384 \, \text{W} \)

- Total Power \( P_{\text{total}} = 0.2432 \, \text{W} \)

3. Wye to Delta conversion:

- \( R_{\text{a}} = 11 \, \Omega \)

- \( R_{\text{b}} = 22 \, \Omega \)

- \( R_{\text{c}} = 7.33 \, \Omega \)

### Problem #2

1. \( R_{\text{eq}} = 640 \, \Omega \)

2.

- \( I_1 = I_2 = I_3 = 0.031 \, \text{A} \)

- \( V_1 = 7.75 \, \text{V} \)

- \( V_2 = 4.65 \, \text{V} \)

- \( V_3 = 7.44 \, \text{V} \)

- \( P_1 = 0.24 \, \text{W} \)

- \( P_2 = 0.144 \, \text{W} \)

- \( P_3 = 0.231 \, \text{W} \)

- Total Power \( P_{\text{total}} = 0.615 \, \text{W} \)

3. Delta to Wye conversion:

- \( R_{\text{a}} = 18 \, \Omega \)

- \( R_{\text{b}} = 3 \, \Omega \)

- \( R_{\text{c}} = 6 \, \Omega \)