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.

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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.
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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