Electric field inside a copper wire of length 10 m , resistance 2 ohm connected to a 10 volt battery is

Options

A. a ) 1 V /m
B. b ) 0.5 V /m
C. c) 10 V /m
D. d) 5 V / m

Answer

To find the electric field inside a copper wire connected to a battery, we can use the relationship between electric field (E), voltage (V), and length (L) of the wire. The electric field inside a conductor can be calculated using the formula:

\[ E = \frac{V}{L} \]

Where:
- \( E \) = electric field (in volts per meter)
- \( V \) = voltage across the wire (in volts)
- \( L \) = length of the wire (in meters)

### Step-by-Step Solution:

1. **Identify the given values:**
- Length of the wire, \( L = 10 \, \text{m} \)
- Voltage of the battery, \( V = 10 \, \text{V} \)

2. **Substitute the values into the formula:**
\[ E = \frac{V}{L} = \frac{10 \, \text{V}}{10 \, \text{m}} \]

3. **Calculate the electric field:**
\[ E = 1 \, \text{V/m} \]

4. **Conclusion:**
The electric field inside the copper wire is \( 1 \, \text{V/m} \).

### Final Answer:
The electric field inside the copper wire is **1 volt per meter**.