Electrical Engineering: Principles and Applications 5th - Solutions

By Allan R. Hambley

<P style="MARGIN: 0px"> For undergraduate introductory or survey classes in electric engineering.
<P style="MARGIN: 0px"> 
<P style="MARGIN: 0px"> ELECTRICAL ENGINEERING: rules AND purposes, 5/e is helping scholars study electrical-engineering basics with minimum frustration. Its targets are to provide easy thoughts in a basic environment, to teach scholars how the rules of electric engineering practice to express difficulties of their personal fields, and to reinforce the final studying approach. Circuit research, electronic structures, electronics, and electromechanics are coated. a wide selection of pedagogical positive aspects stimulate scholar curiosity and engender information of the material’s relevance to their selected profession.

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P2. forty six 50 = five. fixing, 50 + R we now have P = 25 × 10 −3 = I L2RL = I L2 a thousand. fixing, we discover that the present in the course of the load is I L = five mA. hence, we needs to position a resistor in parallel with the present resource and the weight. Then, we have now 20 P2. forty seven R R + RL = five from which we discover R = 333. three Ω. in a similar way to the answer for challenge P2. 12, we will write the next expression for the resistance visible through the 16-V resource. 1 Req = 2 + okayω 1 / Req + a quarter The strategies to this equation are Req = four okayω and Req = −2 okayω . despite the fact that, we cause that the resistance has to be optimistic and discard the detrimental fifty one root. Then, we've i1 = i3 = i18 = P2. forty eight* i1 2 i1 sixteen V Req = 2 mA. equally, i4 = 29 = four mA, i2 = i1 i3 2 = i1 22 Req i = 1 = 2 mA, and four + Req 2 = 1 mA. basically, in + 2 = in / 2. therefore, = 7. 8125 µA. At node 1 we've got: v1 v1 − v2 =1 10 v v − v1 =2 At node 2 we now have: 2 + 2 five 10 In common shape, the equations develop into zero. 15v 1 − zero. 1v 2 = 1 − zero. 1v 1 + zero. 3v 2 = 2 20 + fixing, we discover v 1 = 14. 29 V and v 2 = eleven. forty three V . v − v2 Then now we have i1 = 1 = zero. 2857 A. 10 P2. forty nine* Writing a KVL equation, we've got v 1 − v 2 = 10 . on the reference node, we write a KCL equation: v1 fixing, we discover v 1 = 6. 667 and v 2 = −3. 333 . Then, writing KCL at node 1, we have now is = P2. 50 v2 − v1 five − five v1 five + v2 10 =1. = −3. 333 A . Writing KCL equations, we've v1 v1 − v2 v1 − v3 + + =0 21 6 nine v2 − v1 v2 + =3 6 28 v3 v3 − v1 + + = −3 6 nine In commonplace shape, we have now: zero. 3254v 1 − zero. 1667v 2 − zero. 1111v three = zero − zero. 1667v 1 + zero. 2024v 2 = three − zero. 1111v 1 + zero. 2778v three = −3 G = [0. 3254 -0. 1667 -0. 1111; -0. 1667 zero. 2024 zero; -0. 1111 zero zero. 2778] I = [0; three; -3] V = G\I fifty two Solving, we discover v 1 = eight. 847 V, v 2 = 22. eleven V , and v three = −7. 261 V. If the resource is reversed, the algebraic symptoms are reversed within the I matrix and accordingly, the node voltages are reversed in signal. P2. fifty one Writing KCL equations at nodes 1, 2, and three, now we have v1 v1 − v2 v1 − v3 + + =0 R4 R2 R1 v2 − v1 v2 − v3 + = Is R2 R3 v3 v3 − v2 v3 − v1 + + =0 R5 R3 R1 In regular shape, we have now: zero. 55v 1 − zero. 20v 2 − zero. 25v three = zero − zero. 20v 1 + zero. 325v 2 − zero. 125v three = 2 − zero. 25v 1 − zero. 125v 2 + zero. 875v three = zero utilizing Matlab, we've >> G = [0. fifty five -0. 20 -0. 25; -0. 20 zero. 325 -0. a hundred twenty five; -0. 25 -0. a hundred twenty five zero. 875]; >> I = [0; 2; 0]; >> V = G\I V= five. 1563 10. 4688 2. 9688 P2. fifty two to lessen the variety of unknowns, we pick out the reference node at one finish of the voltage resource. Then, we outline the node voltages and write a KCL equation at every one node. fifty three v 1 − 15 + v1 − v2 five 2 In Matlab, now we have =1 v2 − v1 2 + v 2 − 15 10 = −3 G = [0. 7 -0. five; -0. five zero. 6] I = [4; -1. five] V = G\I I1 = (15 - V(1))/5 Then, we've i1 = 1. 0588 A . The 20-Ω resistance doesn't seem within the community equations and has no influence at the solution. The voltage on the best finish of the 10-Ω resistance is 15 V whatever the worth of the 20-Ω resistance. therefore, any nonzero worth may be substituted for the 20-Ω resistance with out affecting the reply. P2. fifty three Writing KCL equations at nodes 1, 2, and three, now we have v1 v1 − v2 + + Is = zero R3 R4 v2 − v1 v2 − v3 v2 + + =0 R4 R6 R5 v3 v − v2 + three = Is R1 + R2 R6 In regular shape, we've: zero.

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