A system has two charges q A = 2.5 × 10 –7 C and q B = –2.5 × 10 –7 C located at points A: (0, 0, –15 cm) and B: (0,0, + 15 cm), respectively. What are the total charge and electric dipole moment of the system?

Question

Philoid · Accepted Answer

The charge at point A, q_A = 2.5 × 10^–7C

The charge at point B, q_B = –2.5 × 10^–7 C

∴ the total charge of the system, Q_net = q_{A +} q_B

Q_net = 2.5 × 10^–7C + (–2.5 × 10^–7 C)

Q_net = 0

The distance between these two charges = Distance between point A and B, d = 15 + 15

d = 30 cm = 0.3 m

The electric dipole moment can be defined as the measure of the separation of positive as well as negative charges within a specific system. It tells us about the given system’s overall polarity.

The electric dipole moment of the system, p = q_A x d = q_b x d

p = 2.5 × 10^–7C x 0.3

∴ p = 7.5 x 10⁸ C-m along the positive z-axis

Hence, the electric dipole moment of this system is 7.5 x 10⁸ C-m along the positive z axis.

A system has two charges qA = 2.5 × 10–7C and qB = –2.5 × 10–7 C located at points A: (0, 0, –15 cm) and B: (0,0, + 15 cm), respectively. What are the total charge and electric dipole moment of the system?

A system has two charges q_A = 2.5 × 10^–7C and q_B = –2.5 × 10^–7 C located at points A: (0, 0, –15 cm) and B: (0,0, + 15 cm), respectively. What are the total charge and electric dipole moment of the system?