Electrical Circuits and Modified MasteringEngineering - With Access
10th Edition
ISBN: 9780133992793
Author: NILSSON
Publisher: PEARSON
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Chapter 3, Problem 19P
To determine
Design a problem to find the value of resistors R1, R2, and R3 to meet the given design requirement.
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-E1 + VR1 + VR4 – E2 + VR3 = 0 -------> Loop 1 (a)
R1(I1) + R4(I1 – I2) + R3(I1) = E1 + E2 ------> Loop 1 (b)
R1(I1) + R4(I1) - R4(I2) + R3(I1) = E1 + E2 ------> Loop 1 (c)
(R1 + R3 + R4) (I1) - R4(I2) = E1 + E2 ------> Loop 1 (d)
Now that we have loop 1 equation will procced on finding the equation of I2 current loop. However, a reminder that because we are going in a clockwise direction, it goes against the direction of the current. As such we will get an equation for the matrix that will be:
E2 – VR4 – VR2 + E3 = 0 ------> Loop 2 (a)
-R4(I2 – I1) -R2(I2) = -E2 – E3 ------> Loop 2 (b)
-R4(I2) + R4(I1) - R2(I2) = -E2 – E3 -----> Loop 2 (c)
R4(I1) – (R4 + R2)(I2) = -E2 – E3 -----> Loop 2 (d)
These two equations will be implemented to the matrix formula I = inv(A) * b
R11 R12
(R1 + R3 + R4)
-R4
-R4
R4 + R2
10.2 For each of the following groups of sources, determineif the three sources constitute a balanced source, and if it is,determine if it has a positive or negative phase sequence.(a) va(t) = 169.7cos(377t +15◦) Vvb(t) = 169.7cos(377t −105◦) Vvc(t) = 169.7sin(377t −135◦) V(b) va(t) = 311cos(wt −12◦) Vvb(t) = 311cos(wt +108◦) Vvc(t) = 311cos(wt +228◦) V(c) V1 = 140 −140◦ VV2 = 114 −20◦ VV3 = 124 100◦ V
Apply single-phase equivalency to determine the linecurrents in the Y-D network shown in Fig. P10.13. The loadimpedances are Zab = Zbc = Zca = (25+ j5) W
Chapter 3 Solutions
Electrical Circuits and Modified MasteringEngineering - With Access
Ch. 3.2 - For the circuit shown, find (a) the voltage υ, (b)...Ch. 3.3 - Find the no-load value of υo in the circuit...Ch. 3.3 -
Find the value of R that will cause 4 A of...Ch. 3.4 - Use voltage division to determine the voltage υo...Ch. 3.5 - a. Find the current in the circuit shown.
b. If...Ch. 3.5 - Find the voltage υ across the 75 kΩ resistor in...Ch. 3.6 - The bridge circuit shown is balanced when R1 = 100...Ch. 3.7 - Use a Y-to-Δ transformation to find the voltage υ...Ch. 3 - Prob. 1PCh. 3 - Find the power dissipated in each resistor in the...
Ch. 3 - For each of the circuits shown in Fig....Ch. 3 - For each of the circuits shown in Fig....Ch. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Find the equivalent resistance Rab each of the...Ch. 3 - Prob. 9PCh. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - In the voltage-divider circuit shown in Fig. P...Ch. 3 - The no-load voltage in the voltage-divider circuit...Ch. 3 - Assume the voltage divider in Fig. P3.14 has been...Ch. 3 - Find the power dissipated in the resistor in the 5...Ch. 3 - For the current-divider circuit in Fig. P3.19...Ch. 3 - Specify the resistors in the current-divider...Ch. 3 - There is often a need to produce more than one...Ch. 3 - Show that the current in the kth branch of the...Ch. 3 - Prob. 23PCh. 3 - Look at the circuit in Fig. P3.1 (d).
Use current...Ch. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Attach a 6 V voltage source between the terminals...Ch. 3 - Find the voltage x in the circuit in Fig. P3.28...Ch. 3 - Find υo in the circuit in Fig. P3.31 using voltage...Ch. 3 - Find υ1 and υ2 in the circuit in Fig. P3.30 using...Ch. 3 - Prob. 31PCh. 3 - For the circuit in Fig. P3.29, calculate i1 and i2...Ch. 3 - A d'Arsonval ammeter is shown in Fig....Ch. 3 - A shunt resistor and a 50 mV. 1 mA d’Arsonval...Ch. 3 - A d’Arsonval movement is rated at 2 mA and 200 mV....Ch. 3 - Prob. 36PCh. 3 - A d’Arsonval voltmeter is shown in Fig. P3.37....Ch. 3 - Suppose the d’Arsonval voltmeter described in...Ch. 3 - The ammeter in the circuit in Fig. P3. 39 has a...Ch. 3 - The ammeter described in Problem 3.39 is used to...Ch. 3 - The elements in the circuit in Fig2.24. have the...Ch. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - The voltmeter shown in Fig. P3.42 (a) has a...Ch. 3 - The voltage-divider circuit shown in Fig. P3.44 is...Ch. 3 - Assume in designing the multirange voltmeter shown...Ch. 3 - Prob. 47PCh. 3 - Design a d'Arsonval voltmeter that will have the...Ch. 3 - Prob. 49PCh. 3 - Prob. 50PCh. 3 - Prob. 51PCh. 3 - Prob. 52PCh. 3 - Find the detector current id in the unbalanced...Ch. 3 - Find the current and power supplied by the 40 V...Ch. 3 - Find the current and power supplied by the 40 V...Ch. 3 - Find the current and power supplied by the 40 V...Ch. 3 - Find the equivalent resistance Rab in the circuit...Ch. 3 - Use a Δ-to-Y transformation to find the voltages...Ch. 3 - Find the resistance seen by the ideal voltage...Ch. 3 - Prob. 61PCh. 3 - Find io and the power dissipated in the 140Ω...Ch. 3 - Prob. 63PCh. 3 - Show that the expressions for Δ conductances as...Ch. 3 - Prob. 65PCh. 3 - Prob. 66PCh. 3 - Prob. 67PCh. 3 - The design equations for the bridged-tee...Ch. 3 - Prob. 69PCh. 3 - Prob. 70PCh. 3 - Prob. 71PCh. 3 - Prob. 72PCh. 3 - Prob. 73PCh. 3 - Prob. 74PCh. 3 - Prob. 75P
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- 10.8 In the network of Fig. P10.8, Za = Zb = Zc = (25+ j5) W.Determine the line currents.arrow_forwardUsing D flip-flops, design a synchronous counter. The counter counts in the sequence 1,3,5,7, 1,7,5,3,1,3,5,7,.... when its enable input x is equal to 1; otherwise, the counter count 0. Present state Next state x=0 Next state x=1 Output SO 52 S1 1 S1 54 53 3 52 53 S2 56 51 0 $5 5 54 S4 53 0 55 58 57 7 56 56 55 0 57 S10 59 1 58 58 S7 0 59 S12 S11 7 $10 $10 59 0 $11 $14 $13 5 $12 S12 $11 0 513 $15 SO 3 S14 $14 S13 0 $15 515 SO 0 Explain how to get the table step by step with drawing the state diagram and finding the Karnaugh map.arrow_forwardFor the oscillator resonance circuit shown in Fig. (5), derive the oscillation frequency Feedback and open-loop gains. L₁ 5 mH (a) ell +10 V R₁ ww R3 S C2 HH 1 με 1000 pF 100 pF R₂ 1 με RA H (b) +9 V R4 CA 470 pF C₁ R3 HH 1 με R₁ ww L₁ 000 1.5 mH R₂ ww Hi 1 μF L2 m 10 mHarrow_forward
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