A capacitor stores `50mu c` charge when connected across a battery . When the gap between the plates is filled with a dielectric , a charge of `100muc flows through the battery .Find the dielectric constant of the material inserted.

Explanation

To solve the problem step by step, we can follow these steps:

### Step 1: Understand the Initial Condition
Initially, the capacitor stores a charge \( Q_1 = 50 \, \mu C \) when connected to a battery.

### Step 2: Identify the Final Condition
When a dielectric is inserted, an additional charge of \( Q_{added} = 100 \, \mu C \) flows through the battery. Therefore, the final charge on the capacitor becomes:
\[
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