Two point charges `q_(1)andq_(2)` are located at `vec(r_(1))andvec(r_(2))` respectively in an external electric field E. Obtain the expression for the total work done in assembling this configuration.

Explanation

To find the total work done in assembling a configuration of two point charges \( q_1 \) and \( q_2 \) located at positions \( \vec{r_1} \) and \( \vec{r_2} \) respectively in an external electric field \( \vec{E} \), we can follow these steps:

### Step 1: Work Done in Bringing Charge \( q_1 \)
When bringing charge \( q_1 \) from infinity to its position \( \vec{r_1} \) in the external electric field \( \vec{E} \), the work done \( W_1 \) is given by:
\[ W_1 = q_1 V(\vec{r_1}) \]
where \( V(\vec{r_1}) \) is the electric potential at position \( \vec{r_1} \) due to the external electric field \( \vec{E} \).
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