Question 8 only Common data for Q7 and Q8:An electrical system is shown in Fig 3. The values ofthe elements can be taken as:(R, L, C) = (192, 2mH, 1000µF) andN1 = 1000, N, = 10 . The transformer can beassumed to be ideal.RV(t)N1N2Figure 3: Circuit Diagram7) The equivalent inductance(in Henry) as seen bythe voltage source will be.8) The differential equation governing thecharge stored in the capacitor qı is:V(t) = 10004, + 2¢1 + 20q1V(t) = 2041 + ġı + 1000g1V(t) = 104, + 24ı + 1000g1V(t) = 2041 + 2ġı+ 1000q

We will write KVL equation for input loop . Then we replace current by charge .

Answered: 8) The differential equation governing…

8) The differential equation governing the charge stored in the capacitor q1 is: V(t) = 100041 + 2¢1 + 20q1 %3D V(t) = 2041 + ġ1+ 1000g1 V(t) = 104, + 24ı+ 1000g1 %3D V(t) = 2041 + 24ı + 1000q.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Concept explainers

Power Measurement

According to Blondel's theorem, the total power is measured with one less number of wattmeters than the number of wires present in the system. So, a single-phase and two-wire system will require one wattmeter and a single-phase and the three-wire system will require two wattmeters, and a three-phase and the three-wire system will also require two wattmeters and a three-phase and the four-wire system will require three wattmeter devices. The wattmeter is a device that measures power using one voltage and one current input as shown in the above figure. Multiple current or voltage input pair cables are used by many power analyzers and digital storage oscilloscopes (DSOs) for measuring watts, in effect within a single instrument acting as multiple wattmeters. It is possible to measure three-phase and four-wire power with one correctly specified power analyzer.

Question

Question 8 only

Common data for Q7 and Q8:
An electrical system is shown in Fig 3. The values of
the elements can be taken as:
(R, L, C) = (192, 2mH, 1000µF) and
N1 = 1000, N, = 10 . The transformer can be
assumed to be ideal.
R
V(t)
N1
N2
Figure 3: Circuit Diagram
7) The equivalent inductance(in Henry) as seen by
the voltage source will be.
8) The differential equation governing the
charge stored in the capacitor qı is:
V(t) = 10004, + 2¢1 + 20q1
V(t) = 2041 + ġı + 1000g1
V(t) = 104, + 24ı + 1000g1
V(t) = 2041 + 2ġı+ 1000q

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