Heat produced when a dielectric is inserted into a capacitor slowly

AI Thread Summary
Inserting a dielectric slab into a charged capacitor connected to a battery will result in heat production due to the work done by the battery to increase the charge on the capacitor. The current flow during this process indicates that energy is being transferred, leading to heat generation. However, if the battery is considered ideal with no internal resistance, the heat produced would theoretically be zero, as the battery would only supply the necessary energy to increase the charge without any losses. In practical scenarios, the finite internal resistance of real batteries must be accounted for, which would contribute to heat generation. Thus, heat production is dependent on the battery's characteristics and the dielectric's effect on the capacitor's charge.
aryan pandey
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if a capacitor is connected to a battery and then it is fully charged . then a dielectric slab of k is inserted in the capacitor while the battery is still connected SLOWLY
my question is will there be any heat produced??

my approach -- after insertion of dielectric , the charge on the capacitor increases so battery must do work and a result current must flow. so heat produced = energy produced by cell - increase in potential energy in capacitor.

my clarify **
 
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aryan pandey said:
if a capacitor is connected to a battery and then it is fully charged . then a dielectric slab of k is inserted in the capacitor while the battery is still connected SLOWLY
my question is will there be any heat produced??

my approach -- after insertion of dielectric , the charge on the capacitor increases so battery must do work and a result current must flow. so heat produced = energy produced by cell - increase in potential energy in capacitor.

my clarify **
Looks reasonable. But remember that real batteries have finite source resistance values. How does that affect your answer?
 
if i consider an ideal battery of no internal resistance then the heat will be zero
right??
 
aryan pandey said:
if i consider an ideal battery of no internal resistance then the heat will be zero
right??
I guess so. It would just take extra energy from the battery to add the extra charge.
 

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