A conducting wire of length 10 cm is moving perpendicular in a region of magnetic field 1 tesla with a speed of `10 m s^(-1)`. Calculate the induced emf in the conductor.

Answer

To solve the problem of calculating the induced emf in a conducting wire moving in a magnetic field, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Length of the wire (l) = 10 cm = 0.1 m (convert to meters)
- Magnetic field strength (B) = 1 T (Tesla)
- Speed of the wire (v) = 10 m/s

2. **Use the Formula for Induced EMF:**
The induced electromotive force (emf) in a conductor moving through a magnetic field can be calculated using the formula:
\[ \text{Induced EMF} (\epsilon) = B \cdot l \cdot v \]
where:
- \( B \) is the magnetic field strength,
- \( l \) is the length of the conductor,
- \( v \) is the speed of the conductor.

3. **Substitute the Values into the Formula:**
\[ \epsilon = 1 \, \text{T} \cdot 0.1 \, \text{m} \cdot 10 \, \text{m/s} \]

4. **Calculate the Induced EMF:**
\[ \epsilon = 1 \cdot 0.1 \cdot 10 = 1 \, \text{V} \]

5. **Conclusion:**
The induced emf in the conductor is **1 volt**.