Physics · Electric field: electric field due to a point charge, electric field lines, electric dipole, electric field due to a dipole, torque on a dipole in a uniform electric field

A point charge is brought in an electric field. The electric field at a nearby p

A point charge is brought in an electric field. The electric field at a nearby point: This question has multiple correct options

  • A. Will increase if the charge is positive
  • B. Will decrease if the charge is negative
  • C. May increase if the charge is positive
  • D. May decrease if the charge is negative

Step-by-step solution

When a point charge is brought into an existing electric field, the total electric field at a nearby point is the vector sum of the original field and the field due to the point charge. For a positive charge, its field points radially outward. Whether the net field increases or decreases depends on the direction of the original field relative to this direction. If the original field is in the same direction as the field from the positive charge at that point, the net field increases; if opposite, it decreases. Therefore, the field may increase (option C) but does not necessarily increase (option A is too absolute). Similarly, for a negative charge, the field may decrease or increase, making option D also correct. However, since the question expects a single best correct option, option C is a valid correct statement.
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