A charge of 8 mC is located at the origin. Calculate the work done in taking a small charge of `-2xx10^(-9)` from a point P(0, 0, 3cm) to a point Q (0, 4cm, 0) via a point R(0, 6cm, 9cm).

Explanation

To calculate the work done in moving a charge of \(-2 \times 10^{-9}\) C from point P(0, 0, 3 cm) to point Q(0, 4 cm, 0) via point R(0, 6 cm, 9 cm) in the electric field created by a charge of 8 mC located at the origin, we will follow these steps:

### Step 1: Calculate the Electric Potential at Point P
The electric potential \( V \) due to a point charge \( Q \) at a distance \( r \) is given by the formula:
\[ V = \frac{k \cdot Q}{r} \]
where \( k = 9 \times 10^9 \, \text{N m}^2/\text{C}^2 \) (Coulomb's constant).
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