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Circuit Analysis
The Analysis and Design of Linear Circuits
318 SOLVED PROBLEMS
Question: 16.17
A balanced three-phase source with VL = 200 V(rms) feeds a Δ-connected load with ZΔ = 12 + j6 Ω per phase through a three-wire line with ZW = 0.1 + j0.55 Ω per phase. Find the line current and phase current phasors using ∠IA = 0° as the phase reference. ...
Verified Answer:
The phase impedance of the equivalent Y-connected ...
Question: 16.16
The line voltage at a Δ-connected load (see Figure 16–22(a)) with ZΔ = 40 + j30 Ω per phase is VL = 2.4 kV(rms). Find the line and phase current phasors using ∠VAN = 0° as the phase reference. Verify your results using Multisim. Assume 60 Hz. ...
Verified Answer:
We first calculate the line current IA in the equi...
Question: 16.14
In a balanced Y-Y circuit, the line voltage is VL = 480 V(rms) and the phase impedance is ZY = 24 + j9 Ω per phase. Using ∠VAN = 0° as the phase reference, find the line current and line voltage phasors for a positive phase sequence. ...
Verified Answer:
The magnitude of the phase voltage is
V_{P}...
Question: 16.13
Figure 16–17 shows a balanced Δ-connected load in parallel with a balanced Y-connected load. The two-phase impedances are ZΔ = 120 + j40 Ω and ZY = 50 + j30 Ω. Find the phase impedance of an equivalent Y-connected load. ...
Verified Answer:
S T E P 1 We first convert the Y-connected load i...
Question: 16.12
In a balanced three-phase circuit, the line voltages have an rms value of VL = 480 V(rms). Using ∠VAB as the phase reference, find all of the line and phase voltages for a positive phase sequence. ...
Verified Answer:
The specified phase reference means that we arbitr...
Question: 16.DE.11
The inductive load ZL in Figure 16–10 draws an apparent power of 2 kVA at a lagging power factor of 0.8 when the rms load voltage is 880 V(rms) at 60 Hz. Find the value of the capacitance C needed to raise the power factor of the combination to 0.95 lagging. ...
Verified Answer:
For |SL| = 2 kVA at a lagging power factor of 0.8,...
Question: 16.10
The inductive load ZL in Figure 16–10 draws an apparent power of 5 kVA at a lagging power factor of 0.75 when the load voltage is 1.2 kV (rms) at 60 Hz. Find the power factor of the parallel combination when C = 5 μF. ...
Verified Answer:
For |SL| = 5 kVA at a lagging power factor of 0.75...
Question: 9.16
Use MATLAB to find the inverse transform f(t) of the following function: F(s) = (s + 100)²/(s + 50)²(s + 200) ...
Verified Answer:
The following MATLAB code using the ilaplace funct...
Question: 16.6
In Figure 16–6 the load ZL is a 100-Ω resistor in series with a capacitor whose reactance is −60 Ω. The source voltage is 880 V(rms). Find the complex power delivered to the load and the load power factor. ...
Verified Answer:
By inspection the node-voltage equation at node A ...
Question: 16.15
In Figure 16–21(a), the load impedance and line impedances are ZY = 10 + j5 Ω per phase and ZW = 0.15 + j0.85 Ω per phase, respectively. The magnitude of the line voltage at the source is VL = 208 V(rms). Using ∠VA = 0° as the phase reference, find the line current phasors and the line voltage ...
Verified Answer:
In this example, the line voltage at the source is...
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