Two parallel wires are carrying electric currents of equal magnitude and in the same direction. They

Options

A. (a) attract each other
B. (b) repel each other
C. (c) lean towards each other
D. (d) Neither attract nor repel each other

Answer

To solve the question regarding the interaction between two parallel wires carrying electric currents of equal magnitude in the same direction, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Setup**:
- We have two parallel wires, Wire 1 and Wire 2, both carrying electric currents of equal magnitude (let's denote the current as I) and in the same direction.

2. **Magnetic Field Due to a Current-Carrying Wire**:
- A current-carrying wire generates a magnetic field around it. According to the right-hand thumb rule, if you point your thumb in the direction of the current, your fingers curl in the direction of the magnetic field lines.
- For Wire 1, the magnetic field (B1) at the location of Wire 2 will be directed into the plane of the page (or screen).

3. **Force on Wire 2**:
- Wire 2 is placed in the magnetic field generated by Wire 1. The force experienced by a current-carrying wire in a magnetic field is given by the equation:
\[ F = I \cdot L \cdot B \]
where \( F \) is the force, \( I \) is the current in the wire, \( L \) is the length of the wire in the magnetic field, and \( B \) is the magnetic field strength.
- Here, Wire 2 will experience a force due to the magnetic field created by Wire 1.

4. **Direction of the Force on Wire 2**:
- Applying Fleming's Left-Hand Rule (which states that if you align your thumb, forefinger, and middle finger perpendicular to each other, the thumb points in the direction of the force, the forefinger in the direction of the magnetic field, and the middle finger in the direction of the current), we find that the force on Wire 2 will be directed towards Wire 1.

5. **Force on Wire 1**:
- Similarly, Wire 1 will also experience a force due to the magnetic field created by Wire 2. By the same reasoning, Wire 1 will also experience a force directed towards Wire 2.

6. **Conclusion**:
- Since both wires experience forces directed towards each other, we conclude that the two parallel wires carrying currents in the same direction **attract** each other.

### Final Answer:
The correct option is that the two wires **attract each other**.

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