Two parallel plate capacitors of capacitance `C` and `2C` are connected in parallel then following steps are performed.
(i) A battery of voltage `V` is connected across the capacitors.
(ii) A dielectric slab ofrelative permittivity `k` is slowly inserted in capacitor `C`.
(iii) Battery is disconnected.
(iv) Dielectric slab is slowly removed from capacitor.
Find the heat produced in (i) and work done by external aent in step (ii) & (iv).

Answer

`3/2 CV^(2), -1/2(K-1)CV_(0)^(1), 1/6(K+2)(K-1)CV^(2)`