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An electric dipole has the magnitude of its charge as q, and its dipole moment is p. It is placed in a uniform electric field E. If its dipole moment is along the direction of the field, then force acting on it and its potential energy are respectively
- a)q.E and p.E
- b)q.E and maximum
- c)2q.E and minimum
- d)zero and minimum
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
An electric dipole has the magnitude of its charge as q, and its dipol...
For any dipole placed in a uniform field, the net force acting on it is always zero. PE of dipole is( -p. E) (dot product). the angle made by the field with the dipole is zero as given.( cosθ = 1). So PE = -pE, which is the minimum possible value. Ans. D
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An electric dipole has the magnitude of its charge as q, and its dipol...
Explanation:
When an electric dipole is placed in a uniform electric field, two equal and opposite charges are separated by a small distance. The electric dipole moment (p) is defined as the product of the magnitude of either charge (q) and the separation distance (d) between the charges.
Force on the dipole:
The force experienced by a dipole in an electric field is given by the formula:
F = qE + (-qE)
Where qE is the force experienced by the positive charge and -qE is the force experienced by the negative charge. As the force experienced by the charges is equal in magnitude and opposite in direction, the net force on the dipole is zero.
Potential energy of the dipole:
The potential energy (U) of an electric dipole in an electric field is given by the formula:
U = -pE
Where p is the dipole moment and E is the electric field strength. When the dipole moment is along the direction of the electric field, the angle between the dipole moment and the electric field is zero. In this case, the potential energy of the dipole is given by:
U = -pEcos(0) = -pE
Since the potential energy is negative, the correct answer is option 'D' - zero and minimum.
Summary:
- The force acting on an electric dipole placed in a uniform electric field is zero when the dipole moment is along the direction of the field.
- The potential energy of the dipole is negative and minimum when the dipole moment is along the direction of the field.
When an electric dipole is placed in a uniform electric field, two equal and opposite charges are separated by a small distance. The electric dipole moment (p) is defined as the product of the magnitude of either charge (q) and the separation distance (d) between the charges.
Force on the dipole:
The force experienced by a dipole in an electric field is given by the formula:
F = qE + (-qE)
Where qE is the force experienced by the positive charge and -qE is the force experienced by the negative charge. As the force experienced by the charges is equal in magnitude and opposite in direction, the net force on the dipole is zero.
Potential energy of the dipole:
The potential energy (U) of an electric dipole in an electric field is given by the formula:
U = -pE
Where p is the dipole moment and E is the electric field strength. When the dipole moment is along the direction of the electric field, the angle between the dipole moment and the electric field is zero. In this case, the potential energy of the dipole is given by:
U = -pEcos(0) = -pE
Since the potential energy is negative, the correct answer is option 'D' - zero and minimum.
Summary:
- The force acting on an electric dipole placed in a uniform electric field is zero when the dipole moment is along the direction of the field.
- The potential energy of the dipole is negative and minimum when the dipole moment is along the direction of the field.
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An electric dipole has the magnitude of its charge as q, and its dipole moment is p. It is placed in a uniform electric field E. If its dipole moment is along the direction of the field, then force acting on it and its potential energy are respectivelya)q.E and p.Eb)q.E and maximumc)2q.E and minimumd)zero and minimumCorrect answer is option 'D'. Can you explain this answer?
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An electric dipole has the magnitude of its charge as q, and its dipole moment is p. It is placed in a uniform electric field E. If its dipole moment is along the direction of the field, then force acting on it and its potential energy are respectivelya)q.E and p.Eb)q.E and maximumc)2q.E and minimumd)zero and minimumCorrect answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about An electric dipole has the magnitude of its charge as q, and its dipole moment is p. It is placed in a uniform electric field E. If its dipole moment is along the direction of the field, then force acting on it and its potential energy are respectivelya)q.E and p.Eb)q.E and maximumc)2q.E and minimumd)zero and minimumCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An electric dipole has the magnitude of its charge as q, and its dipole moment is p. It is placed in a uniform electric field E. If its dipole moment is along the direction of the field, then force acting on it and its potential energy are respectivelya)q.E and p.Eb)q.E and maximumc)2q.E and minimumd)zero and minimumCorrect answer is option 'D'. Can you explain this answer?.
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