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Two point charges +q and -q are held fixed at (-d,0) and (d,0) respectively of a x-y co-ordinate system. Then
  • a)
    electric field at all point on y-axis is along x-axis
  • b)
    work has to be done in bringing a test charge from ∞ to the origin.
  • c)
    The dipole moment is 2qd along the x-axis
  • d)
    the electric field E at all points on the x-axis has the same direction
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Two point charges +q and -q are held fixed at (-d,0) and (d,0) respect...
The electric field at a point is a vector that represents the force per unit charge that would be exerted on a test charge placed at that point. The direction of the electric field is the direction in which the force would act, and the magnitude of the electric field is the strength of the force.
In this case, there are two point charges +q and -q held fixed at (-d,0) and (d,0) respectively. These charges create electric fields at all points in space.

a) Electric field at all points on the y-axis is along the x-axis: This statement is not necessarily true. The electric field at a point on the y-axis will depend on the distance of that point from the point charges, as well as the magnitude and sign of the charges. If the point is directly above or below one of the charges, the electric field will be along the y-axis. If the point is an equal distance from both charges, the electric field will be zero.

b) Work has to be done in bringing a test charge from ∞ to the origin: This statement is true. When a test charge is brought from a distance "infinity" (a very large distance) to a point in the electric field, work must be done against the electric field in order to overcome the force of attraction or repulsion. The amount of work required will depend on the strength of the electric field and the distance over which the test charge is moved.

c) The dipole moment is 2qd along the x-axis: This statement is true. The dipole moment of a system of charges is a measure of the strength and orientation of the system. It is defined as the product of the magnitude of one of the charges and the distance between the charges, with the direction pointing from the negative charge to the positive charge. In this case, the dipole moment is 2qd along the x-axis because the magnitude of the charges is q, the distance between the charges is d, and the positive charge is on the right and the negative charge is on the left.

d) The electric field E at all points on the x-axis has the same direction: This statement is not necessarily true. The electric field at a point on the x-axis will depend on the distance of that point from the point charges, as well as the magnitude and sign of the charges. If the point is directly to the left or right of one of the charges, the electric field will be along the x-axis in the direction of the charge. If the point is an equal distance from both charges, the electric field will be zero. If the point is closer to one charge than the other, the electric field will have a direction that is the result of the vector addition of the electric fields due to each charge.

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Two point charges +q and -q are held fixed at (-d,0) and (d,0) respectively of a x-y co-ordinate system. Thena)electric field at all point on y-axis is along x-axisb)work has to be done in bringing a test charge from ∞ to the origin.c)The dipole moment is 2qd along the x-axisd)the electric field E at all points on the x-axis has the same directionCorrect answer is option 'B'. Can you explain this answer?
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Two point charges +q and -q are held fixed at (-d,0) and (d,0) respectively of a x-y co-ordinate system. Thena)electric field at all point on y-axis is along x-axisb)work has to be done in bringing a test charge from ∞ to the origin.c)The dipole moment is 2qd along the x-axisd)the electric field E at all points on the x-axis has the same directionCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two point charges +q and -q are held fixed at (-d,0) and (d,0) respectively of a x-y co-ordinate system. Thena)electric field at all point on y-axis is along x-axisb)work has to be done in bringing a test charge from ∞ to the origin.c)The dipole moment is 2qd along the x-axisd)the electric field E at all points on the x-axis has the same directionCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two point charges +q and -q are held fixed at (-d,0) and (d,0) respectively of a x-y co-ordinate system. Thena)electric field at all point on y-axis is along x-axisb)work has to be done in bringing a test charge from ∞ to the origin.c)The dipole moment is 2qd along the x-axisd)the electric field E at all points on the x-axis has the same directionCorrect answer is option 'B'. Can you explain this answer?.
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