The triangular pulse below is applied to a 20 mH inductor. i (mA) 250 0 5 10 t (ms) (a) Write the expressions that describe i(t) in the four intervals: t<0, 0≤t≤ 5ms, 5ms ≤ t ≤ 10ms, t > 10ms. (b) Derive the expressions for the inductor, voltege, power, and energy.
The triangular pulse below is applied to a 20 mH inductor. i (mA) 250 0 5 10 t (ms) (a) Write the expressions that describe i(t) in the four intervals: t<0, 0≤t≤ 5ms, 5ms ≤ t ≤ 10ms, t > 10ms. (b) Derive the expressions for the inductor, voltege, power, and energy.
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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![The triangular pulse below is applied to a 20 mH inductor.
**Graph Description:**
- The graph is a plot of current \( i(t) \) in milliamperes (mA) versus time \( t \) in milliseconds (ms).
- The current starts at 0 mA at 0 ms.
- It increases linearly to a peak of 250 mA at 5 ms.
- Then, it decreases linearly back to 0 mA at 10 ms.
- The graph remains at 0 mA for \( t > 10 \) ms.
**Problem Statement:**
(a) Write the expressions that describe \( i(t) \) in the four intervals:
- \( t < 0 \)
- \( 0 \le t \le 5 \text{ms} \)
- \( 5 \text{ms} \le t \le 10 \text{ms} \)
- \( t > 10 \text{ms} \)
(b) Derive the expressions for the inductor voltage, power, and energy.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdc3c9f33-0a4e-4c54-a40c-f532bb19385c%2F2b540ce6-8570-4acf-a4a3-4bd1b3bd62de%2Fe6da99_processed.png&w=3840&q=75)
Transcribed Image Text:The triangular pulse below is applied to a 20 mH inductor.
**Graph Description:**
- The graph is a plot of current \( i(t) \) in milliamperes (mA) versus time \( t \) in milliseconds (ms).
- The current starts at 0 mA at 0 ms.
- It increases linearly to a peak of 250 mA at 5 ms.
- Then, it decreases linearly back to 0 mA at 10 ms.
- The graph remains at 0 mA for \( t > 10 \) ms.
**Problem Statement:**
(a) Write the expressions that describe \( i(t) \) in the four intervals:
- \( t < 0 \)
- \( 0 \le t \le 5 \text{ms} \)
- \( 5 \text{ms} \le t \le 10 \text{ms} \)
- \( t > 10 \text{ms} \)
(b) Derive the expressions for the inductor voltage, power, and energy.
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