(a) Show that the system of differential equations for the currents i 2 (t) and i 3 (t) in the electrical network shown in Figure 7 6 7 is (b) Solve the system in part (a) if R 5, L 1 0 01 h, L 2 0 0125 h, E 100 V, i 2 (0) 0, and i 3 (0) 0 (c) Determine the current i 1 (t) di, Riz Riz E(t) L dt diz...

a To derive the system of differential equations for the currents i2t and i3t we can apply Kirchhoffs laws at the nodes of the circuit At the node whe ...

(a) Show that the system of differential equations for the currents i 2 (t) and i 3...

Question:

(a) Show that the system of differential equations for the currents i₂(t) and i₃(t) in the electrical network shown in Figure 7.6.7 is

di, + Riz + Riz = E(t) L dt diz + Ri, + Ri, = E(t). L2 dt

(b) Solve the system in part (a) if R = 5Ω, L₁ = 0.01 h, L₂ = 0.0125 h, E = 100 V, i₂(0) = 0, and i₃(0) = 0.

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A First Course in Differential Equations with Modeling Applications

ISBN: 978-1111827052

10th edition

Authors: Dennis G. Zill

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Question Posted: Oct 29, 2020 09:01 AM

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(a) Show that the system of differential equations for the currents i 2 (t) and i 3...

Question:

di, + Riz + Riz = E(t) L dt diz + Ri, + Ri, = E(t). L2 dt

Step by Step Answer:

a To derive the system of differential equations for the currents i2t and i3t we can apply Kirchhoffs laws at the nodes of the circuit At the node whe...View the full answer

A First Course in Differential Equations with Modeling Applications

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