An electric dipole of moment `overset( r ) (p) = (hat(i) + 2hat ( j )) xx10^(-28) Cm` is at origin. The electric field at point ( 2,4) due to the dipole is parallelto

Options

A. (a)`hat(i) +2 hat( j) `
B. (b)`2hat(i )+hat( j )`
C. (c)`hat( i)-2hat(j)`
D. (d)`2 hat(i)-hat(j)`

Explanation

To find the electric field at the point (2, 4) due to the electric dipole with moment \( \vec{p} = (\hat{i} + 2\hat{j}) \times 10^{-28} \, \text{Cm} \), we will follow these steps:

### Step 1: Identify the position vector
The position vector \( \vec{r} \) from the origin to the point (2, 4) is given by:
\[ \vec{r} = 2\hat{i} + 4\hat{j} \]

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