What is the electro-magnet supposed to do on the mower ?
What is make and model of your mower ?
Please drag and drop a photo.jpg of the dead solenoid onto your next post.
Post the part number and any markings on the dead solenoid.
What material is the core of the solenoid made from, solid iron or laminated ?
We will need to know approximate size.
Maybe other mowers use a similar solenoid. What other mowers look like yours?