Two identical capacitors are connected in series as shown in the figure. A dielectric slab ( k 1 ) is placed between the plates of the capacitor B and the battery remains connected. Which of the fol

Question

Two identical capacitors are connected in series as shown in the figure. A dielectric slab ( k > 1 ) is placed between the plates of the capacitor B and the battery remains connected. Which of the following statemen(s) is/are correct following the insertion of the dielectric ?

TestHub · Accepted Answer

With the battery connected, inserting the dielectric raises $C_{B}$ to $k C$ , so the series equivalent $C_{e q} = \frac{k C}{1 + k}$ increases - (B) correct.

Charge supplied by the battery $Q = C_{e q} V$ therefore increases - (A) correct.

Voltage across B becomes $\frac{V}{1 + k} < \frac{V}{2}$ , so the field in B decreases (C wrong), and the stored energy $\frac{1}{2} C_{e q} V^{2}$ increases (D wrong).

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Options:(select one or more)

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