Hello @Apex4446,
The circuit described by @rick_1976 is a classic and reliable solution. It works very well, but I once forgot the heatsink and burned my finger on the BJT.
Let me add two more thoughts to this conversation:
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The speed of turn on an off is dominated by the coil inductance. This article presents the situation for a coil. Another option is to focus on the tau = L/R aspects by adding a series resistor and increasing the drive voltage as described here.
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You could shift back to MOSFETS and PWM the coil directly as described in this note.
Welcome to open ended circuit design. May I recommend you refine your requirements to help guide you to a solution. Be sure to ask the meaning of a “wicked problem.”
While you are there, ask it why PWM drive of a 24 VDC via a series connected 240 VDC supply has merit. Know that it’s hardly ever done as it’s not worth the safety risk. Yet, you are on a quest for speed and should know di/dt.
Sincerely,
Aaron