When a capacitor is connected to a battery:

Options

A. an alternating current flows in the circuit
B. current keeps on increasing and reaches maximum after some time
C. no current flows at all
D. a current flows for some times and finally it decreases to zero

Answer

To solve the question "When a capacitor is connected to a battery," we can break down the process into clear steps:

### Step-by-Step Solution:

1. **Understanding the Components**:
- A capacitor consists of two conductive plates separated by an insulating material (dielectric).
- A battery provides a constant voltage (potential difference) across its terminals.

2. **Initial Connection**:
- When an uncharged capacitor is connected to a battery, the voltage across the capacitor plates is initially zero.

3. **Current Flow**:
- As soon as the connection is made, the battery starts to push charge onto the plates of the capacitor.
- This results in a current flowing through the circuit, which is defined as the movement of charge.

4. **Charging Process**:
- The positive plate of the capacitor accumulates positive charge, while the negative plate accumulates an equal amount of negative charge.
- The current continues to flow as the capacitor plates charge up.

5. **Current Behavior**:
- The current flowing in the circuit is initially at its maximum value and decreases over time as the capacitor charges.
- The charging current can be described by the equation \( I(t) = \frac{V}{R} e^{-\frac{t}{RC}} \), where \( R \) is the resistance in the circuit and \( C \) is the capacitance.

6. **Final Charge on the Capacitor**:
- The charging process continues until the voltage across the capacitor equals the battery voltage \( V \).
- At this point, the charge \( Q \) on the capacitor can be expressed as \( Q = CV \), where \( C \) is the capacitance.

7. **Steady State**:
- Once the capacitor is fully charged (i.e., when \( Q = CV \)), the current in the circuit drops to zero.
- In a DC circuit, it is impossible for a steady current to flow across a fully charged capacitor.

### Summary:
When a capacitor is connected to a battery, it initially allows current to flow as it charges. The current decreases over time until the capacitor is fully charged, at which point the current stops flowing.