An electric dipole of `( 100 hat(k)` pC-m is located at origin. Determine the field and potential at point `P ( 1m , (pi)/(3) , (pi)/(2))` in spherical coordinate system `p ( r , theta, phi)`

Explanation

To determine the electric field and potential at point \( P(1, \frac{\pi}{3}, \frac{\pi}{2}) \) due to an electric dipole located at the origin, we can follow these steps:

### Step 1: Identify the dipole moment
The dipole moment \( \vec{p} \) is given as \( 100 \hat{k} \, \text{pC-m} \). We can convert this to SI units:
\[ \vec{p} = 100 \times 10^{-12} \hat{k} \, \text{C-m} = 1 \times 10^{-10} \hat{k} \, \text{C-m} \]

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