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Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): Electric field is always normal to equipotential surfaces and along the direction of decreasing order of potential.
Reason (R): Negative gradient of electric potential is electric field.
  • a)
    Both A and R are true and R is the correct explanation of A
  • b)
    Both A and R are true but R is NOT the correct explanation of A
  • c)
    A is true but R is false
  • d)
    A is false and R is True
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Directions: In the following questions, A statement of Assertion (A) ...
So, The electric field is always perpendicular to the equipotential surface. Negative gradient of electric potential is the electric field. So, the direction of the electric field must be in the direction of the decreasing order of electric potential.
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Directions: In the following questions, A statement of Assertion (A) ...
Assertion and Reasoning

Assertion (A): Electric field is always normal to equipotential surfaces and along the direction of decreasing order of potential.

Reason (R): Negative gradient of electric potential is electric field.

Explanation

The electric field is defined as the force experienced by a unit positive charge placed at a point in an electric field. The electric field at any point is the gradient of the electric potential at that point. The direction of the electric field is always perpendicular to the equipotential surfaces and along the direction of decreasing potential.

The equipotential surface is defined as a surface in which all points have the same electric potential. The electric field is always normal to the equipotential surface because if it were not, there would be a component of the electric field along the equipotential surface, which would mean that there would be a potential difference along the equipotential surface. This contradicts the definition of an equipotential surface.

The negative gradient of electric potential is the electric field. The electric potential is a scalar quantity, and its gradient is a vector quantity. The gradient of electric potential is the rate of change of electric potential with respect to distance. The negative sign indicates the direction of decreasing potential, and the magnitude of the gradient gives the strength of the electric field.

Conclusion

Both the assertion and reasoning are true, and the reasoning is the correct explanation of the assertion. Therefore, the correct answer is option A.
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Directions: In the following questions, A statement of Assertion (A) ...
So, The electric field is always perpendicular to the equipotential surface. Negative gradient of electric potential is the electric field. So, the direction of the electric field must be in the direction of the decreasing order of electric potential.
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Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Electric field is always normal to equipotential surfaces and along the direction of decreasing order of potential.Reason (R): Negative gradient of electric potential is electric field.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer?
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Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Electric field is always normal to equipotential surfaces and along the direction of decreasing order of potential.Reason (R): Negative gradient of electric potential is electric field.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Electric field is always normal to equipotential surfaces and along the direction of decreasing order of potential.Reason (R): Negative gradient of electric potential is electric field.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Electric field is always normal to equipotential surfaces and along the direction of decreasing order of potential.Reason (R): Negative gradient of electric potential is electric field.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer?.
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