Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Question

The triangular current pulse shown in (Figure 1) is applied to a 375 mHmH inductor. Use the passive sign convention.

Part A
Part complete
Write the expression that describes i(t) in the interval t<0. Suppose that t is in seconds.
Express your answer in amperes in terms of t.
 
Part B
Write the expression that describes i(t) in the interval 0≤t≤25ms. Suppose that t is in seconds.
Express your answer in amperes in terms of t.
 
Part D
Write the expression that describes i(t) in the interval t>50ms. Suppose that t is in seconds.
 
Part E
Derive the expression for the inductor voltage in the interval t<0. Suppose that t is in seconds.
Express your answer in volts in terms of t
 
Part F
Derive the expression for the inductor voltage in the interval 0≤t≤25ms. Suppose that t is in seconds.
Express your answer in volts in terms of t
 
Part G
Derive the expression for the inductor voltage in the interval 25ms≤t≤50ms. Suppose that t is in seconds.
 
Part H
Derive the expression for the inductor voltage in the interval t>50ms. Suppose that t is in seconds.
 
Part I
Derive the expression for the inductor power in the interval t<0. Suppose that t is in seconds
 
 
Part J
Derive the expression for the inductor power in the interval 0≤t≤25ms. Suppose that t is in seconds
Express your answer in watts in terms of t
 
Part K
Derive the expression for the inductor power in the interval 25ms≤t≤50ms. Suppose that t is in seconds.
p=(4.8t−96)W
p=(96t−4.8)W
p=(4.8t+96)WW
p=(96t+4.8)W
 
Part L
Derive the expression for the inductor power in the interval t>50ms. Suppose that t is in seconds.
 
Part M
Derive the expression for the inductor energy in the interval t<0. Suppose that t is in seconds.
 
Part N
Derive the expression for the inductor energy in the interval 0≤t≤25ms. Suppose that t is in seconds.
 
Part O
Derive the expression for the inductor energy in the interval 25ms≤t≤50ms25ms≤�≤50ms. Suppose that t� is in seconds.
w=(48t2−4.8t)J
w=(96t2−4.8t+0.12)J
w=(96t2−4.8t)J
w=(48t2−4.8t+0.12)J

 

Part P
Derive the expression for the inductor energy in the interval t>50ms. Suppose that t is in seconds.
Express your answer in joules in terms of t
 
i (mA)
400
0
25
50
t (ms)
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Transcribed Image Text:i (mA) 400 0 25 50 t (ms)
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