Question 7.22: A solenoid with resistance 4 Ω and inductance 6 mH is used i...
A solenoid with resistance 4 Ω and inductance 6 mH is used in an auto-mobile ignition circuit similar to that in Fig. 7.78. If the battery supplies 12 V, determine: the final current through the solenoid when the switch is closed, the energy stored in the coil, and the voltage across the air gap, assuming that the switch takes 1 µs to open.

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The final current through the coil is
I=\frac{V_{s}}{R}=\frac{12}{4}=3 AThe energy stored in the coil is
W=\frac{1}{2} L I^{2}=\frac{1}{2} \times 6 \times 10^{-3} \times 3^{2}=27 mJThe voltage across the gap is
V=L \frac{\Delta I}{\Delta t}=6 \times 10^{-3} \times \frac{3}{1 \times 10^{-6}}=18 kVRelated Answered Questions
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