A horizontal straight conductor along east-west direction falls under gravity, then there is

Options

A. no induced emf along the length
B. no induced current along the length
C. an induced current from west to east
D. an induced current from east to west

Answer

To solve the problem, we need to analyze the scenario of a horizontal straight conductor falling under the influence of gravity, while also considering the effects of electromagnetic induction.

### Step-by-Step Solution:

1. **Understand the Setup**:
- We have a horizontal straight conductor oriented in the east-west direction.
- The conductor is falling vertically downward under the influence of gravity.

2. **Identify the Magnetic Field**:
- Assume there is a uniform magnetic field present in the region. For this problem, we can consider the magnetic field to be directed into the plane of the paper (towards the observer).

3. **Determine the Motion of the Conductor**:
- As the conductor falls, it cuts through the magnetic field lines. This motion through the magnetic field is crucial for electromagnetic induction.

4. **Apply Faraday’s Law of Induction**:
- According to Faraday's law, an electromotive force (E-MF) is induced in a conductor when there is a change in magnetic flux through it. In this case, the falling conductor is changing its position relative to the magnetic field.

5. **Use Lenz's Law**:
- Lenz's law states that the direction of the induced current will be such that it opposes the change in magnetic flux that produced it. Since the conductor is moving downward, it will induce a current that creates a magnetic field opposing the downward motion.

6. **Determine the Direction of Induced Current**:
- If the magnetic field is directed into the plane of the paper, the induced current must create a magnetic field that is directed out of the plane of the paper to oppose the change.
- Using the right-hand rule, if the induced current flows from east to west, it will create a magnetic field that points out of the plane of the paper.

7. **Conclusion**:
- Therefore, the induced current in the conductor will flow from east to west.

### Final Answer:
The induced current in the conductor is from east to west.

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