Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
An air capacitor of pF is charged to V. A dielectric of constant is pushed in to fill the gap. Do two cases. In the first, the battery stays joined the whole time. Find the new charge and the extra charge that came from the battery. In the second, the battery is removed before the dielectric goes in. Find the voltage across the capacitor afterwards.
A dielectric that fills the gap multiplies by . With the battery connected stays and grows by . With the battery removed stays and falls to . A slab of thickness gives , and the field in the slab is of the field in the air. A metal slab gives .
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. pF, V, . The charge at the start is nC.
Case 1. The battery stays joined. pF and stays V. The charge is nC. The extra charge is nC.
Case 2. The battery is removed. The charge stays nC. V.
Answer: nC and nC when the battery stays, and V when it is removed.
Check. V. It fits.
Watch out. In the second case no charge moves. In the first case the battery supplies four times the original charge.
Log in to join the discussion.
Loading…
With Standard, you also open 11 more problems, 2 Python labs and 1 extra course. Everything you have used here stays free, always.