Electric Circuits, Student Value Edition Format: Unbound (saleable)
Electric Circuits, Student Value Edition Format: Unbound (saleable)
11th Edition
ISBN: 9780134747170
Author: NILSSON, James W.^riedel, Susan
Publisher: Prentice Hall
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Chapter 6, Problem 37P

a.

To determine

Verify the required expression of the inductance Lab=L1+L2+2M.

b.

To determine

Verify the required expression of the inductance Lab=L1+L22M when the coil 2 is reversed.

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For the circuit shown, let V₁ = 12 V, Is1 = 2A, Is2 = 4A, R₁ = 2, R2 = 4, and R3 = 6. Determine the current Io using Mesh method as follows: 1. Choose all meshes that must be included, if any, to construct the supermesh. 11, 13 O 11, 12 O 12, 13, 11 12, 13 O none of the above 2. Consider mesh (loop) iz, write the corresponding expression in terms of mesh currents i₁, 12, 13 as of the form (R11 · i₁ + R₁2 · 2 + R₁3-13 = V₁), then enter the corresponding values: R11 R12 R13 Ω Ω Ω V V₁₂ 3. Solve the above equation to determine then lo : 10 = Ist A R₁ ww ww R₂ + V₁ 1, R3 The relative tolerance for this problem is 7%. ww IS2
Enter the matrix values (numerical) to solve for mesh-currents i₁, iz and 13, for the circuit shown, using Mesh method. In the matrix, row 1, row 2, and row 3 correspond to i₁, 12 and 13, current expressions, respectively. Let Vs=15, R₁ =50, R₂-32, R3-8, R4-17, R5-29, and R=41. [R11 R12 R13 The matrix values are shown here: R21 R22 R23 = V₂ R31 R32 R33 [V3] The relative tolerance for this problem is 5%. R1 Loop i₁ R11 + Vs Ω R12 Ω R13 Ω V V₁= Loop 12 R21 Ω R22 Ω R23 Ω V V₂ Loop 13 Ω R31 R32 Ω R33 Ω V3= V R2 R4 R3 R5 R6
For circuit shown, use Mesh method to find the voltage Vo as follows. Enter, in the matrix format, as below, the loop currents, where row 1, and row 2, correspond to i₁, and i2 loop current expressions, respectively. Let Vs1-5, Vs2-15, R₁=5, R₂=2, and R3=8. The matrix values are shown here: [R11 R12 21 R21 R22 Rx - M - M iz = The relative tolerance for this problem is 5%. Vst (+- R1 ww Loop i₁ R115 G12 V₁ = Loop 12 R21 R22 V₂= Ω C C Ω V Ω 02 C V R₂ ww VS2 + Ry ww + Vo Use Cramer's rule (matrix), substitution, or any other method to calculate the voltages:

Chapter 6 Solutions

Electric Circuits, Student Value Edition Format: Unbound (saleable)

Ch. 6 - The current in a 200 mH inductor is The voltage...Ch. 6 - The current in a 20 mH inductor is known to...Ch. 6 - Assume in Problem 6.5 that the value of the...Ch. 6 - Evaluate the integral for Example 6.2. Comment on...Ch. 6 - Find the inductor current in the circuit in Fig....Ch. 6 - The current in and the voltage across a 5 H...Ch. 6 - The current in the 2.5 mH inductor in Fig. P6.11...Ch. 6 - Initially there was no energy stored in the 5 H...Ch. 6 - The voltage across a 5 μF capacitor is known to...Ch. 6 - The triangular voltage pulse shown in Fig. P6.15...Ch. 6 - The expressions for voltage, power, and energy...Ch. 6 - A 20µF capacitor is subjected to a voltage pulse...Ch. 6 - The initial voltage on the 0.5 μF capacitor shown...Ch. 6 - The current shown in Fig. P6.20 is applied to a...Ch. 6 - The rectangular-shaped current pulse shown in Fig....Ch. 6 - Use realistic inductor values from Appendix H to...Ch. 6 - For the circuit shown in Fig. P6.24, how many...Ch. 6 - The two parallel inductors in Fig. P6.26 are...Ch. 6 - Derive the equivalent circuit for a series...Ch. 6 - Derive the equivalent circuit for a parallel...Ch. 6 - Use realistic capacitor values from Appendix H to...Ch. 6 - Prob. 30PCh. 6 - The two series-connected capacitors in Fig. P6.31...Ch. 6 - The four capacitors in the circuit in Fig, P6.32...Ch. 6 - For the circuit in Fig. P6.32, calculate the...Ch. 6 - At t = 0. a series-connected capacitor and...Ch. 6 - The current in the circuit in Fig. P6.35 is known...Ch. 6 - Show that the differential equations derived in...Ch. 6 - Prob. 37PCh. 6 - Prob. 38PCh. 6 - Let υg represent the voltage across the current...Ch. 6 - Prob. 40PCh. 6 - Prob. 41PCh. 6 - Prob. 42PCh. 6 - Prob. 43PCh. 6 - Prob. 44PCh. 6 - Prob. 45PCh. 6 - Prob. 46PCh. 6 - Prob. 47PCh. 6 - Prob. 48PCh. 6 - The self-inductances of two magnetically coupled...Ch. 6 - Prob. 50PCh. 6 - Prob. 51PCh. 6 - Prob. 52PCh. 6 - Prob. 53P
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