Potential Due to an Electric Dipole MCQ Quiz in தமிழ் - Objective Question with Answer for Potential Due to an Electric Dipole - இலவச PDF ஐப் பதிவிறக்கவும்

CONCEPT   :

• Electric potential is equal to the amount of work done per unit charge by an external force to move the charge q from infinity to a specific point in an electric field.

• Potential due to a single charged particle Q at a distance r from it is given by:

Where, 

ϵ0 is the permittivity of free space and has a value of 8.85 × 10-12 F/m in SI units

EXPLANATION:

• Given that r >> a, where 2a is the distance between the two charges of the dipole
• The dipole moment is 

• ​Potential due to a dipole with dipole moment  at a point P having position vector  with respect to the dipole moment orientation is given by (if r >> a)

• There the potential falls off due to a factor of .

Therefore option 2 is correct.

CONCEPT:

• Electric potential is equal to the amount of work done per unit charge by an external force to move the charge q from infinity to a specific point in an electric field.

• Potential due to a single charged particle Q at a distance r from it is given by:

Where, 

ϵ0 is the permittivity of free space and has a value of 8.85 × 10-12 F/m in SI units

• Potential due to a dipole with dipole moment  at a point P(r,θ) having position vector  with respect to the dipole moment orientation is given by (if r >> a):

EXPLANATION:

• Given:
  • The dipole is placed at the origin
  • The dipole moment is ​
  • The position vector of point P is 
• Potential at D(90,120) due to the dipole is 

Therefore option 4 is correct.

CONCEPT   :

• Electric potential is equal to the amount of work done per unit charge by an external force to move the charge q from infinity to a specific point in an electric field.

• Potential due to a single charged particle Q at a distance r from it is given by:

Where, 

ϵ0 is the permittivity of free space and has a value of 8.85 × 10-12 F/m in SI units

EXPLANATION:

• Given:
  • +q is placed at (a,0)
  • -q is placed at (-a,0)
• Potential at D(c,d) due to charge q placed at point A(a,0) is:

 , (since the distance between points A and D is  )

• Potential at D(d,0) due to charge -q placed at point B(-a,0) is:

 , (since the distance between points A and D is )

• Total potential at D due to both charges placed at points A and B is:

⇒ V = VDA + VDB =  +  = 

Therefore option 4 is correct.