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An ion with charge +q is in a region of uniform electric field of magnitude E. The charge is moved a distance d in the direction of field. Which of the following is true?
- a)The electric potential energy of the ion decreased by the amount qEd.
- b)The electric potential energy of the ion increased by an amount qEd.
- c)The electric potential energy of the ion increased by the amount Ed.
- d)The electric potential energy of the ion decreased by the amount Ed.
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
An ion with charge +qis in a region of uniform electric field of magni...
Electric force, F = qE
Work done = W = F.d = qEd.
But the change is electrostatic energy = –W
So potential energy decreased.
Work done = W = F.d = qEd.
But the change is electrostatic energy = –W
So potential energy decreased.
The correct answer is: The electric potential energy of the ion decreased by the amount qEd.
Most Upvoted Answer
An ion with charge +qis in a region of uniform electric field of magni...
Explanation:
The electric potential energy of a charged particle in an electric field is given by the equation U = qV, where U is the electric potential energy, q is the charge of the particle, and V is the electric potential.
When the charged particle is moved a distance d in the direction of the electric field, the work done on the particle is given by the equation W = Fd, where W is the work done, F is the force on the particle, and d is the distance moved.
The force on a charged particle in an electric field is given by the equation F = qE, where F is the force, q is the charge of the particle, and E is the electric field.
From the given information, we can see that the charge q is moved a distance d in the direction of the electric field. This means that the force on the particle is in the same direction as the displacement, so the work done on the particle is positive.
Now, let's consider the equation for work done:
W = Fd
Substituting the equation for force:
W = qEd
We can see that the work done on the particle is equal to qEd.
The electric potential energy is defined as the work done on a particle to move it from infinity to its current position in an electric field. Therefore, the change in electric potential energy (ΔU) is equal to the negative of the work done on the particle:
ΔU = -W
Substituting the equation for work done:
ΔU = -qEd
Since the question asks for the change in electric potential energy, we can see that the electric potential energy decreased by the amount qEd.
Therefore, the correct answer is option A: The electric potential energy of the ion decreased by the amount qEd.
The electric potential energy of a charged particle in an electric field is given by the equation U = qV, where U is the electric potential energy, q is the charge of the particle, and V is the electric potential.
When the charged particle is moved a distance d in the direction of the electric field, the work done on the particle is given by the equation W = Fd, where W is the work done, F is the force on the particle, and d is the distance moved.
The force on a charged particle in an electric field is given by the equation F = qE, where F is the force, q is the charge of the particle, and E is the electric field.
From the given information, we can see that the charge q is moved a distance d in the direction of the electric field. This means that the force on the particle is in the same direction as the displacement, so the work done on the particle is positive.
Now, let's consider the equation for work done:
W = Fd
Substituting the equation for force:
W = qEd
We can see that the work done on the particle is equal to qEd.
The electric potential energy is defined as the work done on a particle to move it from infinity to its current position in an electric field. Therefore, the change in electric potential energy (ΔU) is equal to the negative of the work done on the particle:
ΔU = -W
Substituting the equation for work done:
ΔU = -qEd
Since the question asks for the change in electric potential energy, we can see that the electric potential energy decreased by the amount qEd.
Therefore, the correct answer is option A: The electric potential energy of the ion decreased by the amount qEd.
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An ion with charge +qis in a region of uniform electric field of magnitudeE. The charge is moved a distancedin the direction of field. Which of the following is true?a)The electric potential energy of the ion decreased by the amountqEd.b)The electric potential energy of the ion increased by an amountqEd.c)The electric potential energy of the ion increased by the amountEd.d)The electric potential energy of the ion decreased by the amountEd.Correct answer is option 'A'. Can you explain this answer?
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An ion with charge +qis in a region of uniform electric field of magnitudeE. The charge is moved a distancedin the direction of field. Which of the following is true?a)The electric potential energy of the ion decreased by the amountqEd.b)The electric potential energy of the ion increased by an amountqEd.c)The electric potential energy of the ion increased by the amountEd.d)The electric potential energy of the ion decreased by the amountEd.Correct answer is option 'A'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about An ion with charge +qis in a region of uniform electric field of magnitudeE. The charge is moved a distancedin the direction of field. Which of the following is true?a)The electric potential energy of the ion decreased by the amountqEd.b)The electric potential energy of the ion increased by an amountqEd.c)The electric potential energy of the ion increased by the amountEd.d)The electric potential energy of the ion decreased by the amountEd.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An ion with charge +qis in a region of uniform electric field of magnitudeE. The charge is moved a distancedin the direction of field. Which of the following is true?a)The electric potential energy of the ion decreased by the amountqEd.b)The electric potential energy of the ion increased by an amountqEd.c)The electric potential energy of the ion increased by the amountEd.d)The electric potential energy of the ion decreased by the amountEd.Correct answer is option 'A'. Can you explain this answer?.
An ion with charge +qis in a region of uniform electric field of magnitudeE. The charge is moved a distancedin the direction of field. Which of the following is true?a)The electric potential energy of the ion decreased by the amountqEd.b)The electric potential energy of the ion increased by an amountqEd.c)The electric potential energy of the ion increased by the amountEd.d)The electric potential energy of the ion decreased by the amountEd.Correct answer is option 'A'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about An ion with charge +qis in a region of uniform electric field of magnitudeE. The charge is moved a distancedin the direction of field. Which of the following is true?a)The electric potential energy of the ion decreased by the amountqEd.b)The electric potential energy of the ion increased by an amountqEd.c)The electric potential energy of the ion increased by the amountEd.d)The electric potential energy of the ion decreased by the amountEd.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An ion with charge +qis in a region of uniform electric field of magnitudeE. The charge is moved a distancedin the direction of field. Which of the following is true?a)The electric potential energy of the ion decreased by the amountqEd.b)The electric potential energy of the ion increased by an amountqEd.c)The electric potential energy of the ion increased by the amountEd.d)The electric potential energy of the ion decreased by the amountEd.Correct answer is option 'A'. Can you explain this answer?.
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