If two points are at the same potential, does this mean that no work is done in moving a test charge from one point to the other? Does this imply that no force must be exerted? Explain.

Question

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Answer 1

Textbook Question

Chapter 23, Problem 1Q

If two points are at the same potential, does this mean that no work is done in moving a test charge from one point to the other? Does this imply that no force must be exerted? Explain.

Expert Solution & Answer

To determine

Is there any work needed to be done between the points on an equipotential surface and what about the force.

Answer to Problem 1Q

The total work done is zero on an equipotential surface and there would have non-zero force.

Explanation of Solution

When the two points are in same potential there is no work need to be done between those points.

Since the work is depends on the path followed. It is possible for a positive work for one path and negative work for other path, while the total work done must be zero.

There must be a non-zero force exerted over the two parts and does not imply that the force is necessarily zero.

Conclusion:

Therefore, the total work done is zero on an equipotential surface and there would have non-zero force.

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01:53

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Answer 2

Textbook Question

Chapter 23, Problem 1Q

If two points are at the same potential, does this mean that no work is done in moving a test charge from one point to the other? Does this imply that no force must be exerted? Explain.

Expert Solution & Answer

To determine

Is there any work needed to be done between the points on an equipotential surface and what about the force.

Answer to Problem 1Q

The total work done is zero on an equipotential surface and there would have non-zero force.

Explanation of Solution

When the two points are in same potential there is no work need to be done between those points.

Since the work is depends on the path followed. It is possible for a positive work for one path and negative work for other path, while the total work done must be zero.

There must be a non-zero force exerted over the two parts and does not imply that the force is necessarily zero.

Conclusion:

Therefore, the total work done is zero on an equipotential surface and there would have non-zero force.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

01:53

Answer 3

Textbook Question

Chapter 23, Problem 1Q

If two points are at the same potential, does this mean that no work is done in moving a test charge from one point to the other? Does this imply that no force must be exerted? Explain.

Expert Solution & Answer

To determine

Is there any work needed to be done between the points on an equipotential surface and what about the force.

Answer to Problem 1Q

The total work done is zero on an equipotential surface and there would have non-zero force.

Explanation of Solution

When the two points are in same potential there is no work need to be done between those points.

Since the work is depends on the path followed. It is possible for a positive work for one path and negative work for other path, while the total work done must be zero.

There must be a non-zero force exerted over the two parts and does not imply that the force is necessarily zero.

Conclusion:

Therefore, the total work done is zero on an equipotential surface and there would have non-zero force.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

01:53

Answer 4

Textbook Question

Chapter 23, Problem 1Q

If two points are at the same potential, does this mean that no work is done in moving a test charge from one point to the other? Does this imply that no force must be exerted? Explain.

Expert Solution & Answer

To determine

Is there any work needed to be done between the points on an equipotential surface and what about the force.

Answer to Problem 1Q

The total work done is zero on an equipotential surface and there would have non-zero force.

Explanation of Solution

When the two points are in same potential there is no work need to be done between those points.

Since the work is depends on the path followed. It is possible for a positive work for one path and negative work for other path, while the total work done must be zero.

There must be a non-zero force exerted over the two parts and does not imply that the force is necessarily zero.

Conclusion:

Therefore, the total work done is zero on an equipotential surface and there would have non-zero force.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

01:53

Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

Is there any work needed to be done between the points on an equipotential surface and what about the force.

Answer to Problem 1Q

The total work done is zero on an equipotential surface and there would have non-zero force.

Explanation of Solution

When the two points are in same potential there is no work need to be done between those points.

Since the work is depends on the path followed. It is possible for a positive work for one path and negative work for other path, while the total work done must be zero.

There must be a non-zero force exerted over the two parts and does not imply that the force is necessarily zero.

Conclusion:

Therefore, the total work done is zero on an equipotential surface and there would have non-zero force.

Answer 8

Expert Solution & Answer

To determine

Is there any work needed to be done between the points on an equipotential surface and what about the force.

Answer to Problem 1Q

The total work done is zero on an equipotential surface and there would have non-zero force.

Explanation of Solution

When the two points are in same potential there is no work need to be done between those points.

Since the work is depends on the path followed. It is possible for a positive work for one path and negative work for other path, while the total work done must be zero.

There must be a non-zero force exerted over the two parts and does not imply that the force is necessarily zero.

Conclusion:

Therefore, the total work done is zero on an equipotential surface and there would have non-zero force.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

Is there any work needed to be done between the points on an equipotential surface and what about the force.

Answer 12

Answer to Problem 1Q

The total work done is zero on an equipotential surface and there would have non-zero force.

Answer 13

Explanation of Solution

When the two points are in same potential there is no work need to be done between those points.

Since the work is depends on the path followed. It is possible for a positive work for one path and negative work for other path, while the total work done must be zero.

There must be a non-zero force exerted over the two parts and does not imply that the force is necessarily zero.

Conclusion:

Therefore, the total work done is zero on an equipotential surface and there would have non-zero force.