NEET-XII-Physics

01: Electric Charges And Fields

I - page 2
  • #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?
    Ans : Both the charges can be located in 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 × 107 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.