Two circular, similar, coaxial loops carry equal currents in the same direction. If the loops are brought nearer, what will happen?

Options

A. (a) Current will increase in each loop
B. (b) Current will decrease in each loop
C. ( c) Current will remain same in each loop
D. (d) Current will increase in one and decrease in the other

Explanation

To solve the problem regarding the behavior of two coaxial circular loops carrying equal currents in the same direction when brought closer together, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Initial Setup**:
- We have two circular, coaxial loops that are initially far apart.
- Both loops carry equal currents in the same direction. Let's denote the current in each loop as \( I \).

2. **Magnetic Field Due to Each Loop**:
- Each loop generates a magnetic field around it due to the current flowing through it. The direction of the magnetic field can be determined using the right-hand rule.
- If we assume one loop has current flowing out of the plane (represented by a dot) and the other loop has current flowing into the plane (represented by a cross), the magnetic field lines will be directed from the loop with the dot to the loop with the cross.

3. **Bringing the Loops Closer**:
- As the loops are brought closer together, the magnetic flux linked with each loop changes. The magnetic flux through each loop is proportional to the strength of the magnetic field and the area of the loop.

4. **Change in Magnetic Flux**:
- When the loops are brought closer, the magnetic field lines from one loop will intersect with the other loop more densely, leading to an increase in the magnetic flux through each loop.

5. **Applying Lenz's Law**:
- According to Lenz's Law, an induced current will flow in a direction that opposes the change in magnetic flux. Since the magnetic flux through each loop is increasing, the induced current will flow in a direction opposite to the original current in each loop.

6. **Resulting Effect on Current**:
- As a result of the induced current opposing the original current, the total current in each loop will decrease.

7. **Conclusion**:
- Therefore, when the loops are brought nearer, the current in each loop decreases due to the induced current that opposes the increase in magnetic flux.

### Final Answer:
When the two coaxial loops carrying equal currents in the same direction are brought nearer, the current in each loop will decrease.