A capacitor with no dielectric is connected to a battery at t=0.Consider a point A in the connecting wires and a point B in between the plates. What about the current at A and B ?

Options

A. (a)There is no current through A.
B. (b)There is no current through B.
C. (c )There is a current through A as long as the charging is not complete.
D. (d)There is a current through B as long as the charging is not complete.

Answer

To solve the problem, we need to analyze the behavior of the current at two points: point A in the connecting wire and point B between the plates of the capacitor when the capacitor is connected to a battery at time \( t = 0 \).

### Step-by-Step Solution:

1. **Understanding the Circuit Configuration**:
- At \( t = 0 \), a capacitor (with no dielectric) is connected to a battery. The positive terminal of the battery is connected to one plate of the capacitor, and the negative terminal is connected to the other plate.

2. **Current at Point A (Connecting Wire)**:
- Point A is located in the connecting wire. When the switch is closed at \( t = 0 \), the circuit is completed, allowing current to flow.
- Since the capacitor is initially uncharged, it behaves like a short circuit at this moment. Therefore, there will be a current flowing through the wire at point A.

3. **Current at Point B (Between the Plates)**:
- Point B is situated between the plates of the capacitor. At \( t = 0 \), the plates of the capacitor are not yet charged.
- The current in the capacitor is defined as the flow of charge. However, between the plates, there is no physical movement of charge carriers (like electrons) because the capacitor is not yet charged. The electric field starts to build up due to the separation of charges on the plates, but no current flows through the dielectric gap.
- Thus, at point B, the current is zero.

4. **Conclusion**:
- At point A (in the connecting wire), the current is flowing (non-zero).
- At point B (between the plates of the capacitor), the current is zero.

### Summary:
- Current at point A: **Non-zero (current is flowing)**
- Current at point B: **Zero (no current)**