(a) To determine Find the sources which are generating power in the given circuit using mesh current method. Explanation Given data: Refer to Figure given in the textbook. The voltage source is 50 V . Calculation: The given circuit is modified as shown in Figure 1. In Figure 1, apply Kirchhoff’s Voltage law for Loop current i 1 as follows, 0 = − 50 + 6 i 1 − 4 i 2 + 9 i Δ 6 i 1 − 4 i 2 + 9 i Δ = 50 (1) In Figure 1, the constraint equation due to the dependent source is as follows. i Δ = i 2 (2) i 3 = − 1.7 v Δ (3) v Δ = 2 i 1 (4) Substitute 2 i 1 for v Δ in equation (3) as follows, i 3 = − 1.7 ( 2 i 1 ) i 3 = − 3.4 i 1 (5) Substitute i 2 for i Δ in equation (1) as follows, 6 i 1 − 4 i 2 + 9 i 2 = 50 6 i 1 + 5 i 2 = 50 6 i 1 + 5 i 2 = 50 (6) Rearrange equation (6) as follows, 5 i 2 = 50 − 6 i 1 i 2 = 50 − 6 i 1 5 (7) In Figure 2, apply Kirchhoff’s Voltage law for Loop current i 2 as follows, 0 = − 9 i Δ − 4 i 1 + 29 i 2 − 20 i 3 (8) Substitute i 2 for i Δ in equation (8) as follows, − 9 i 2 − 4 i 1 + 29 i 2 − 20 i 3 = 0 − 4 i 1 + 20 i 2 − 20 i 3 = 0 (9) Substitute 50 − 6 i 1 5 for i 2 , − 3.4 i 1 for i 3 in equation (9) as follows, − 4 i 1 + 20 ( 50 − 6 i 1 5 ) − 20 ( − 3.4 i 1 ) = 0 − 4 i 1 + 200 − 24 i 1 + 68 i 1 = 0 40 i 1 = − 200 i 1 = − 5 A Substitute − 5 for i 1 in equation (7) to find the current i 1 in amperes. i 2 = 50 − 6 ( − 5 ) 5 = 16 A Since, i Δ = i 2 . Therefore, the current is, i Δ = i 2 = 16 A Substitute − 5 for i 1 in equation (5) to find the current i 3 in amperes. i 3 = − 3.4 ( − 5 ) = 17 A Substitute − 5 for i 1 in equation (4) to find v Δ in volts. v Δ = 2 ( − 5 ) = − 10 V The voltage across the 9 i Δ dependent voltage source is, V = 9 i Δ Substitute 16 for i Δ to find the voltage across the 9 i Δ dependent voltage source in volts. V = 9 × 16 = 144 V In Figure 1, the current i a through the 4 ohms resistor is calculated as follows, i a = i 2 − i 1 Substitute 16 for i 2 and − 5 for i 1 to find the current i a through the 4 ohms resistor in amperes (b) To determine Find the total power dissipated in the circuit using PSPICE.

Electrical Circuits and Modified MasteringEngineering - With Access

10th Edition

ISBN: 9780133992793

Author: NILSSON

Publisher: PEARSON

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Chapter 4, Problem 48P

(a)

To determine

Find the sources which are generating power in the given circuit using mesh current method.

(b)

To determine

Find the total power dissipated in the circuit using PSPICE.

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Chapter 4, Problem 47P

Chapter 4, Problem 49P

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Chapter 4 Solutions

Electrical Circuits and Modified MasteringEngineering - With Access

Ch. 4.2 - a) For the circuit shown, use the node-voltage...Ch. 4.2 - Use the node-voltage method to find v in the...Ch. 4.3 - Use the node-voltage method to find the power...Ch. 4.4 - Use the node-voltage method to find vo in the...Ch. 4.4 - Use the node-voltage method to find v in the...Ch. 4.4 - Use the node-voltage method to find v1 in the...Ch. 4.5 - Use the mesh-current method to find (a) the power...Ch. 4.6 - Determine the number of mesh-current equations...Ch. 4.6 - Use the mesh-current method to find vo in the...Ch. 4.7 - Use the mesh-current method to find the power...

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