Find the magnitude of the electric field at a point 4 cm away from a line charge of density `2 xx 10^(-6) C m^(-1)`.

Explanation

To find the magnitude of the electric field at a point 4 cm away from a line charge with a linear charge density of \( \lambda = 2 \times 10^{-6} \, \text{C/m} \), we can follow these steps:

### Step 1: Identify the formula for the electric field due to a line charge
The electric field \( E \) at a distance \( R \) from an infinitely long line charge with linear charge density \( \lambda \) is given by the formula:
\[ E = \frac{2k\lambda}{R} \]
where \( k \) is the electrostatic constant, approximately \( 9 \times 10^9 \, \text{N m}^2/\text{C}^2 \).
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