Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
An electric bell has an electromagnet, an iron armature with a hammer, a spring, and a contact that the armature touches.
Inside a long solenoid the field is strong and uniform: , where is the number of turns in each metre and . A soft iron core makes it an electromagnet, many times stronger, that loses its magnetism when the current stops.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. (a) The cycle.
Step 2. (b) The time. .
Answer: the pull of the magnet breaks its own circuit, the spring brings the hammer back, and this repeats; one strike takes .
Check. .
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