Two identical capacitors are connected in series to a battery. Capacitor 2 contains dielectric constant k. Initial charges are Q₁, Q₂. The dielectric is removed and new charges are Q₁′, Q₂′. Which relation is correct?
Select all that apply

Question

Two identical capacitors are connected in series to a battery. Capacitor 2 contains dielectric constant k. Initial charges are Q₁, Q₂. The dielectric is removed and new charges are Q₁′, Q₂′. Which relation is correct?

Select all that apply

G1 Physics · Accepted Answer

Initially the series capacitances are C and kC, so Q=E·[kC/(k+1)]. After removal both are C, giving Q′=EC/2. Hence Q′/Q=(k+1)/(2k). Correct answer: C.

Two identical capacitors are connected in series to a battery. Capacitor 2 contains dielectric constant k. Initial charges are Q₁,Q₂. The dielectric is removed and new charges are Q₁′,Q₂′. Which relation is correct?