Nikola Tesla (18571943) was an American electrical engineer who experimented with

Chapter 7, Problem P7.5-1

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QUESTION:

Nikola Tesla (1857–1943) was an American electrical engineer who experimented with electric induction. Tesla built a large coil with a very large inductance, shown in Figure P 7.5-1. The coil was connected to a source current

                                                         \(i_s\) = 100 sin 400t A

so that the inductor current \(i_L\) = \(i_s\). Find the voltage across the inductor and explain the discharge in the air shown in the figure. Assume that L = 200H and the average discharge distance is 2 m. Note that the dielectric strength of air is \(3 \times 10^6\) V/m.

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QUESTION:

Nikola Tesla (1857–1943) was an American electrical engineer who experimented with electric induction. Tesla built a large coil with a very large inductance, shown in Figure P 7.5-1. The coil was connected to a source current

                                                         \(i_s\) = 100 sin 400t A

so that the inductor current \(i_L\) = \(i_s\). Find the voltage across the inductor and explain the discharge in the air shown in the figure. Assume that L = 200H and the average discharge distance is 2 m. Note that the dielectric strength of air is \(3 \times 10^6\) V/m.

ANSWER:

Step 1 of 3

It is required to find the voltage across the inductor. It can be found using the following formula:

For the given current and inductance we have:

       =

       =

       =

       =

 

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