Ten capacitors are joined in parallel and charged with a battery up to a potential `V`. They are then disconnected from the battery and joined in series. Then potential of the combination will be .

Options

A. `1V`
B. `10V`
C. `5V`
D. `2V`

Explanation

To solve the problem step by step, we will analyze the situation where 10 capacitors are first connected in parallel, charged to a potential \( V \), and then disconnected and connected in series.

### Step 1: Understand the Initial Configuration
- We have 10 capacitors, each with a capacitance \( C \), connected in parallel to a battery with a potential \( V \).
- In a parallel configuration, the voltage across each capacitor is equal to the voltage of the battery.

**Hint:** Remember that in a parallel circuit, the voltage across each component is the same.

### Step 2: Voltage Across Each Capacitor
- Since all capacitors are connected in parallel, the voltage across each capacitor is \( V \).
- Therefore, the voltage across each of the 10 capacitors is \( V \).

**Hint:** Identify the key property of parallel circuits regarding voltage.

### Step 3: Disconnect from the Battery
- After charging, the capacitors are disconnected from the battery. They retain the charge they have acquired at voltage \( V \).

**Hint:** Capacitors hold their charge even when disconnected from the power source.

### Step 4: Connect Capacitors in Series
- Now, the 10 charged capacitors are connected in series. In a series configuration, the total voltage is the sum of the voltages across each capacitor.

**Hint:** Recall that in a series circuit, the total voltage is the sum of individual voltages.

### Step 5: Calculate the Total Voltage in Series
- Since each capacitor has a voltage of \( V \) and there are 10 capacitors, the total voltage \( V_{total} \) across the series combination is:
\[ V_{total} = V + V + V + \ldots + V \quad (\text{10 times}) \]
\[ V_{total} = 10V \]

**Hint:** Use multiplication to simplify the addition of the same voltage multiple times.

### Step 6: Conclusion
- The total potential of the combination when the capacitors are connected in series is \( 10V \).

**Final Answer:** The potential of the combination will be \( 10V \).

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