Which of the following statement(s) is/are correct regarding the electic field produced by the changing magnetic field?

Options

A. It is conservative in nature
B. It is non conservative in nature
C. Potential can be defined corresponding to this field
D. The lines of this field are closed curves

Answer

To determine which statements are correct regarding the electric field produced by a changing magnetic field, we can analyze the properties of the induced electric field.

### Step-by-Step Solution:

1. **Understanding Induced Electric Field**:
- An electric field can be induced by a changing magnetic field according to Faraday's Law of Electromagnetic Induction. This law states that a change in magnetic flux through a loop induces an electromotive force (emf) in that loop.

**Hint**: Recall Faraday's Law, which relates changing magnetic fields to induced electric fields.

2. **Nature of the Induced Electric Field**:
- The induced electric field is **non-conservative**. This means that the work done by the electric field around a closed loop is not zero. In conservative fields, the work done around a closed path is zero, but this is not the case for an induced electric field.

**Hint**: Think about the work done in conservative vs. non-conservative fields.

3. **Closed Loop Formation**:
- The induced electric field forms **closed loops**. This is a characteristic of the electric field generated by a changing magnetic field. The lines of the induced electric field are circular and do not terminate; they loop back on themselves.

**Hint**: Visualize the direction of the induced electric field lines around a changing magnetic field.

4. **Direction of Induced Electric Field**:
- The direction of the induced electric field can be determined using the right-hand rule. If the magnetic field is increasing in a certain direction, the induced electric field will circulate in a direction that opposes the change in magnetic flux (Lenz's Law).

**Hint**: Remember Lenz's Law and how it relates to the direction of induced fields.

5. **Conclusion**:
- Based on the above analysis, the correct statements regarding the electric field produced by a changing magnetic field are:
- The induced electric field is non-conservative.
- The induced electric field forms closed loops.

### Final Answer:
The correct statements regarding the electric field produced by the changing magnetic field are:
- The induced electric field is non-conservative.
- The induced electric field forms closed loops.