Using V = 3 mV, and given the voltage across an inductor L = 15 mH as shown in Fig. P6.25, determine the equation of current as a function of time across the inductor during the time Oms <= t <= 1 ms. Assuming the solution looks like i(t) = Xt² + C, what is the value of X? For your answer, just put the value of X in Amperes/s² (there should only be a number in your answer). v(t) (MV) A V Figure P6.25 1 2 (ms) W

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**Transcription for Educational Website**

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**Problem Statement:**

Using \( V = 3 \, \text{mV} \), and given the voltage across an inductor \( L = 15 \, \text{mH} \) as shown in Fig. P6.25, determine the equation of current as a function of time across the inductor during the time \( 0 \, \text{ms} \leq t \leq 1 \, \text{ms} \).

Assuming the solution looks like \( i_L(t) = Xt^2 + C \), what is the value of \( X \)?

*For your answer, just put the value of \( X \) in Amperes/\( s^2 \) (there should only be a number in your answer).*

---

**Figure P6.25 Explanation:**

- The graph shows a voltage \( v(t) \) over time.
- The y-axis represents voltage in millivolts (mV), with a reference point noted as \( V \).
- The x-axis represents time in milliseconds (ms).
- The graph has a triangular shape:
  - It starts at the origin (0,0).
  - Increases linearly to a peak at 1 ms.
  - Decreases linearly back to zero at 2 ms.

This triangular waveform provides a visual representation required for calculating the current across the inductor within the specified time frame.
Transcribed Image Text:**Transcription for Educational Website** --- **Problem Statement:** Using \( V = 3 \, \text{mV} \), and given the voltage across an inductor \( L = 15 \, \text{mH} \) as shown in Fig. P6.25, determine the equation of current as a function of time across the inductor during the time \( 0 \, \text{ms} \leq t \leq 1 \, \text{ms} \). Assuming the solution looks like \( i_L(t) = Xt^2 + C \), what is the value of \( X \)? *For your answer, just put the value of \( X \) in Amperes/\( s^2 \) (there should only be a number in your answer).* --- **Figure P6.25 Explanation:** - The graph shows a voltage \( v(t) \) over time. - The y-axis represents voltage in millivolts (mV), with a reference point noted as \( V \). - The x-axis represents time in milliseconds (ms). - The graph has a triangular shape: - It starts at the origin (0,0). - Increases linearly to a peak at 1 ms. - Decreases linearly back to zero at 2 ms. This triangular waveform provides a visual representation required for calculating the current across the inductor within the specified time frame.
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