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5Ω 10 Ω 20 Ω 12.5 μF Vs 2.5 mH The circuit above if vs(t) = 25 sin 4000r V. Find io(t) ? (+ I

5Ω 10 Ω 20 Ω 12.5 μF Vs 2.5 mH The circuit above if vs(t) = 25 sin 4000r V. Find io(t) ? (+ I

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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10 Ω 20 Ω 12.5 μF Vs 2.5 mH The circuit above if v:(1) = 25 sin 4000r V . Find io(t) ?
Transcribed Image Text:10 Ω 20 Ω 12.5 μF Vs 2.5 mH The circuit above if v:(1) = 25 sin 4000r V . Find io(t) ?
Expert Solution
Step 1

Given:

Vs(t)=25sin4000tso Vm=25 Vand ω=4000 rad/sec

Step 2

Solution:

In Phasor form

Vs¯=Vsrms∠ϕ°Vs¯=252∠0°Vs¯=17.68∠0°

Inductive reactance,

XL=ωLXL=4000×2.5×10-3XL=10 Ω

capacitive reactance,

XC=1ωCXC=14000×12.5×10-6XC=20 Ω

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