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in Figure Q.1 is given by di L=+Ri+-= dt (i) Viti Ri+ = √ [idt = v(t) R i(t) voltage source www.restor vos inductor capacitor vor L Figure Q.1 Show that the voltage equation can be written as d²i dt² +7+12i = 130 sin(2t) — 9e-³t if L = 2, dt R = 14, C = — and v(t) = −130 cos(2t) + 6e-³t 24

in Figure Q.1 is given by di L=+Ri+-= dt (i) Viti Ri+ = √ [idt = v(t) R i(t) voltage source www.restor vos inductor capacitor vor L Figure Q.1 Show that the voltage equation can be written as d²i dt² +7+12i = 130 sin(2t) — 9e-³t if L = 2, dt R = 14, C = — and v(t) = −130 cos(2t) + 6e-³t 24

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q.1 (a) The voltage equation for an electrical network as shown in Figure Q.1 is given by (i) di L-+Ri+ dt Viti R ww L fidt i dt = v(t) +7+12i = + 12i dt C Figure Q.1 voltage source ww.reststor mo inductor = capacitor Show that the voltage equation can be written as d²i dt = 130 sin(2t) — 9e-³t if L = 2, R = 14, C = and v(t) = −130 cos(2t) + 6e-3t 24
Transcribed Image Text:Q.1 (a) The voltage equation for an electrical network as shown in Figure Q.1 is given by (i) di L-+Ri+ dt Viti R ww L fidt i dt = v(t) +7+12i = + 12i dt C Figure Q.1 voltage source ww.reststor mo inductor = capacitor Show that the voltage equation can be written as d²i dt = 130 sin(2t) — 9e-³t if L = 2, R = 14, C = and v(t) = −130 cos(2t) + 6e-3t 24
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