The figure shows an electric dipole. What is the magnitude of the dipole's electric field at point P? Assume that q = 3.34 × 10-6 C, d = 3.10 × 10-6 m, and r = 3.12 cm.

Question

The figure shows an electric dipole. What is the magnitude of the dipole's electric field at point P? Assume that q = 3.34 × 10^-6 C, d = 3.10 × 10^-6 m, and r = 3.12 cm.

Answer 1

The magnitude of the electric field at point P can be found using the following solution:

=> k = 1 = 8.99x10⁹ N*m²*C^-2

4πE₀

E = kp

[(d/2)² + r²]^(3/2)

=> p = qd

E = kqd

[(d/2)² + r²]^(3/2)

<=> (8.99x10⁹ N*m²*C^-2)(3.34x10^-6 C)(3.1x10^-6 m)

[(3.1x10^-6 m/2)² + (3.12x10^-2 m)²]^(3/2)

E = 16890.30 N*C^-1