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Question 9

A system has two charges qA = 2.5 × 10−7 C 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?

Answer

According to the figure given below both the charges can be located in a coordinate frame of reference.



At A, amount of charge, qA = 2.5 × 10−7C (Given)

At B, amount of charge, qB = −2.5 × 10−7 C (Given)

Total charge of the system,

q = qA + qB = 2.5 × 10-7 C − 2.5 × 10−7 C = 0

Distance between two charges at points A and B,

d = 15 + 15 = 30 cm = 0.3 m

Electric dipole moment of the system is given by,

p = qA × d = qB × d = 2.5 × 10−7 × 0.3 = 7.5 × 10−8 C m along positive z-axis

Therefore, the electric dipole moment of the system is 7.5 × 10−8 C m along positive z−axis.

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