Home
Class 12
PHYSICS
A system has two charges q(A)= +2.5xx10^...

A system has two charges `q_(A)= +2.5xx10^(-7)C and q_(B)= +2.5xx10^(-7)C` located at point A: (0,0,-15 cm)and B: (0,0,+15 cm)`, respectively. What are the total charge and eletric dipole moment of the system?

A

`0` , `0`

B

`7.5 xx 10^-8 C` , `7.5 xx 10^-8 Cm`

C

`7.5 xx 10^-8 C` , `0`

D

`0` , `7.5 xx 10^-8 Cm`

Text Solution

Verified by Experts

The correct Answer is:
D
The two charges `q_(A)` and `q_(B)` are equal and opposite and situated a fixed distance apart, from an electric dipole. Thus the charge of the system is
`q_(A)+q_(B)=2.5xx10^(-7)C - 2.5xx10^(-7)C=0`
The distance between the two charges is `2a=30cm=0.3m`. So the dipole moment of the system is either charge`xx2a`
`=(2.5xx10^(-7)C)(0.3cm)=7.5xx10^(-8)Cm`
The direction of `vec(p)` as shown in fig. is from B to A, i.e. along the negative z-axis.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • COULOMB LAW AND ELECTRIC FIELD

    CENGAGE PHYSICS|Exercise Solved examples|10 Videos

  • COULOMB LAW AND ELECTRIC FIELD

    CENGAGE PHYSICS|Exercise Exercises|58 Videos

  • COMMUNICATION SYSTEM

    CENGAGE PHYSICS|Exercise QUESTION BANK|19 Videos

  • Current Electricity

    CENGAGE PHYSICS|Exercise QUESTION BANK|40 Videos

Similar Questions

Explore conceptually related problems

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

A system has two charges q_(A)=2.5xx10^(-7) C and q_(B)=-2.5xx10^(-7) C located at points A, (0, 0, -0.15 m) and B, (0, 0, +0.15 m) respectively. What is the total charge and electric dipole moment of the system?

Knowledge Check

  • Three point charges 1muC ,1muC " and " -2muC are placed at points having coordinates (0,1,0)cm, (1,0,0) cm and (0,0,0)cm respectively. The magnitude of electric dipole moment of the system is

    A
    `10^(-8)Cm`
    B
    `sqrt(2)xx10^(-8) Cm`
    C
    `sqrt(3)xx10^(-8) Cm`
    D
    `2xx10^(-8) Cm`

  • If point charges Q_(1) = 2xx 10^(-7) C and Q_(2) = 3 xx 10^(-7) C are at 30 cm separation, then find electrostatic force between them

    A
    `2 xx 10^(-3)`N
    B
    `6 xx 10^(-3)`N
    C
    `5 xx 10^(-3)`N
    D
    `1 xx 10^(-3)`N

    • Similar Questions

    Explore conceptually related problems

    Two charges - q and + q are located at points A(0, 0, -a) and B(0, 0, +a) respectively. How much work is done in moving a test charge from point P(7,0,0) to Q(-3,0,0) ?

    Two charges +q and -q are located at points A(0,0. -2) and B(0,0,2) respectively. How much work will be done in moving a test charge from point P (4,0,0) and Q(-5,0,0) ?

    Two charges of +5nC and -2nC are placed at points (5cm, 0, 0) and (23cm, 0, 0) in a region of space where there is no other external electric field. Calculate potential energy of this charge system.

    Two identical charges of -0.1 muC are palced at point A (0, 0) and B (8cm, 0) respectively. Calculate the value of charge Q to be placed at a point M (4 cm, 0) such that the electrostatic potential energy of the system is zero.

    Two point charges q_(1)=2xx10^(-3) C and q_(2)=-3xx10^(-6) C are separated by a distance x = 10 cm. Find the magnitude and nature of the force between the two charges.

    Two point charges, q_1 = 10 xx 10^(-8) C and q_2 = -2 xx 10^(-8) C , are separated by a distance of 60 cm in air. Find at what distance from the 1st charge q_1 , would the electric potential be zero.

    Home
    Profile