Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A capacitor has circular plates of radius cm. A steady current of A charges it. Use . Find:
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.
Given. cm, A and T m/A.
Plan. Find how much displacement current each loop takes in. Then use .
Step 1. The small loop, cm. The fraction is , so .
Step 2. Its field. .
Step 3. The edge, . All of is taken in: .
Step 4. The large loop, cm. Again all of is taken in: .
Answer: A; ; ; .
Check. The fields in steps 2 and 4 are equal. The field rises up to the edge and falls beyond it, so there are two distances with the same value. Their product is .
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A charging capacitor has a displacement current in its gap. It equals the charging current, and for parallel plates . The Ampere-Maxwell law is .