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If electric field intensity at a certain distance from a dipole on its axis is E1 and at the same distance but on the perpendicular bisector of the dipole is E2, then __________
- a)E1=E2
- b)E1=2 E2
- c)E1=4 E2
- d)E1=3 E2
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
If electric field intensity at a certain distance from a dipole on its...
Explanation:
The electric field intensity at a distance r on the axis of a dipole is given by:
E1= (1/4πϵ) (2p/r^3) -----(1)
where p is the dipole moment and ϵ is the permittivity of the medium.
The electric field intensity at the same distance r on the perpendicular bisector of the dipole is given by:
E2= (1/4πϵ) (p/r^3) -----(2)
where p is the dipole moment and ϵ is the permittivity of the medium.
Comparing equations (1) and (2), we can see that:
E1/E2 = 2
Therefore, E1 = 2E2
Hence, option (B) is the correct answer.
Summary:
- Electric field intensity at a distance r on the axis of a dipole is given by equation (1).
- Electric field intensity at the same distance r on the perpendicular bisector of the dipole is given by equation (2).
- Comparing equations (1) and (2), we get E1/E2 = 2.
- Hence, E1 = 2E2.
- Therefore, option (B) is the correct answer.
The electric field intensity at a distance r on the axis of a dipole is given by:
E1= (1/4πϵ) (2p/r^3) -----(1)
where p is the dipole moment and ϵ is the permittivity of the medium.
The electric field intensity at the same distance r on the perpendicular bisector of the dipole is given by:
E2= (1/4πϵ) (p/r^3) -----(2)
where p is the dipole moment and ϵ is the permittivity of the medium.
Comparing equations (1) and (2), we can see that:
E1/E2 = 2
Therefore, E1 = 2E2
Hence, option (B) is the correct answer.
Summary:
- Electric field intensity at a distance r on the axis of a dipole is given by equation (1).
- Electric field intensity at the same distance r on the perpendicular bisector of the dipole is given by equation (2).
- Comparing equations (1) and (2), we get E1/E2 = 2.
- Hence, E1 = 2E2.
- Therefore, option (B) is the correct answer.
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Community Answer
If electric field intensity at a certain distance from a dipole on its...
If the dipole moment of a dipole is p, then electric field intensity at a distance r from the dipole on its axis will be (2p/(r3)). But electric field intensity at a distance r from the dipole on its perpendicular bisector is (P/(r3)). Both the formulas are derived by assuming r >> length of the dipole. Thus E1= 2P/r3 and E2 = P/r3 and hence E1 = 2 E2.
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If electric field intensity at a certain distance from a dipole on its axis is E1 and at the same distance but on the perpendicular bisector of the dipole is E2, then __________a)E1=E2b)E1=2 E2c)E1=4 E2d)E1=3 E2Correct answer is option 'B'. Can you explain this answer?
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