The magnitude of electric field intensity at point `B(x,0,0)` due to a dipole of dipole moment , `vec(P) - P_(0) ( hat(i) + sqrt(3)hat(j))` kept at origin is `sqrt(n) ((kp_(0))/(r^(3)))`, find n (assume that the point is at large distance form the diople , `k = (1)/(4 pi in_(0))` .

Explanation

To find the value of \( n \) in the expression for the electric field intensity at point \( B(x,0,0) \) due to a dipole moment \( \vec{P} = P_0 (\hat{i} + \sqrt{3} \hat{j}) \) kept at the origin, we will follow these steps:

### Step 1: Understand the dipole moment
The dipole moment \( \vec{P} \) can be expressed in terms of its components:
\[ \vec{P} = P_0 \hat{i} + P_0 \sqrt{3} \hat{j} \]
This can also be represented in terms of its magnitude and direction. The magnitude of \( \vec{P} \) is given by:
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