To determine Calculate the voltage v 1 in the given circuit in PSPICE using the mesh-current method. Explanation The given circuit is redrawn as shown in Figure 1. Apply Kirchhoff’s voltage law for Loop 1 in Figure 1. 20 = ( 2 k ) ( i 1 − i 2 ) + ( 30 k ) ( i 1 − i 3 ) 20 = ( 2 k ) i 1 − ( 2 k ) i 2 + ( 30 k ) i 1 − ( 30 k ) i 3 20 = ( 32 × 10 3 ) i 1 − ( 2 × 10 3 ) i 2 − ( 30 × 10 3 ) i 3 { ∵ 1 k = 10 3 } 20 = 32000 i 1 − 2 000 i 2 − 30 000 i 3 (1) Apply Kirchhoff’s voltage law for Loop 2 in Figure 1. 0 = ( 2 k ) ( i 2 − i 1 ) + ( 5 k ) i 2 + ( 5 k ) ( i 2 − i 3 ) 0 = ( 2 k ) i 2 − ( 2 k ) i 1 + ( 5 k ) i 2 + ( 5 k ) i 2 − ( 5 k ) i 3 0 = − ( 2 × 10 3 ) i 1 + ( 12 × 10 3 ) i 2 − ( 5 × 10 3 ) i 3 { ∵ 1 k = 10 3 } 0 = − 2 000 i 1 + 12 000 i 2 − 5 000 i 3 (2) Apply Kirchhoff’s voltage law for Loop 3 in Figure 1. 0 = ( 30 k ) ( i 3 − i 1 ) + ( 1 k ) i 3 + ( 5 k ) ( i 3 − i 2 ) 0 = ( 30 k ) i 3 − ( 30 k ) i 1 + ( 1 k ) i 3 + ( 5 k ) i 3 − ( 5 k ) i 2 0 = − ( 30 × 10 3 ) i 1 − ( 5 × 10 3 ) i 2 + ( 36 × 10 3 ) i 3 { ∵ 1 k = 10 3 } 0 = − 30 000 i 1 − 5 000 i 2 + 36 000 i 3 (3) Rearrange the equation (2) as follows, 2 000 i 1 = 12 000 i 2 − 5 000 i 3 i 1 = 12 000 i 2 − 5 000 i 3 2 000 i 1 = 6 i 2 − 2

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ISBN: 8220106795262

Author: Riedel

Publisher: YUZU

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Nodal Analysis

In the analysis of any electric circuit, nodal analysis is the method of determining the potential difference or voltage between different nodes in an electric circuit. A node is a point where two or more branches connect each other. In the nodal analysi…

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Chapter 4, Problem 35P

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Calculate the voltage v1 in the given circuit in PSPICE using the mesh-current method.

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Chapter 4, Problem 34P

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Chapter 4 Solutions

EBK ELECTRIC CIRCUITS

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