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(Solved): The gap in the circuit seen in (Figure 1) will arc over whenever the voltage across the gap reaches ...



The gap in the circuit seen in (Figure 1) will arc over whenever the voltage across the gap reaches 36 kV. The initial current in the inductor is zero. The value of ? is adjusted so the Thévenin resistance with respect to the terminals of the inductor is -6.0 k?.

PART A:

What is the value of ??

Express your answer using three significant figures.

PART B:

How many microseconds after the switch has been closed will the gap arc over?

Express your answer in microseconds to three significant figures.



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Expert Answer



Given that,

Thevenin's resistance with respect to the terminals of the inductor   
The voltage between the gap reaches   
Here we need to find the value of   
Let the voltage across the inductor terminal is    and we place one current source across the inductor
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