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Question -

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



Answer -

Both the charges can be locatedin a coordinate frame of reference as shown in the given figure.

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

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

Total charge of the system,

q = qA + qB

= 2.5 × 10−7 C −2.5 × 10−7 C

= 0

Distance between two charges atpoints A and B,

d =15 + 15 = 30 cm = 0.3 m

Electric dipole moment of thesystem is given by,

p = qA × d= qB × d

= 2.5 × 10−7 ×0.3

= 7.5 × 10−8 C malong positive z-axis

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

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