Physics
Electrostatics
Easy
Question
In the electric field of a point charge q, a certain point charge is carried from point A to B, C, D and E as shown in figure. The work done is
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)
- least along the path AE
- least along the path AC
- zero along any of the paths
- least along AB
The correct answer is: zero along any of the paths
. For charge q placed at the centre of circle, the circular path is an equipotential surface and hence work done along all paths AB or AC or AD or AE is zero
Related Questions to study
physics
Which from the following is a scalar ?
Which from the following is a scalar ?
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and
are equal vectors what from the followings is true
and
are equal vectors what from the followings is true
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=
is true, if
=
is true, if
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and
are in opposite direction so they are
and
are in opposite direction so they are
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1+2j+2k, calculate the angle between
and Y axis
1+2j+2k, calculate the angle between
and Y axis
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A and
are nonzero vectors. Which from the followings is true?
A and
are nonzero vectors. Which from the followings is true?
physicsGeneral
physics
and A=B=C Find the angle between
and ![Error converting from MathML to accessible text.](data:image/png;base64,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)
and A=B=C Find the angle between
and ![Error converting from MathML to accessible text.](data:image/png;base64,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)
physicsGeneral
physics
The resultant of two vectors is maximum when they
The resultant of two vectors is maximum when they
physicsGeneral
physics
The resultant of two vetoers
and ![B with not stretchy bar on top](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAXCAYAAAAyet74AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAWNPAnzwAAAKJJREFUeNpjYECA/1jwKBhM4AcQ/wHih0B8F4g3AbEkuiIVIL6AJtYMxPPRFQYA8VI0sSAsYgz1QFyOJrYQiD3QFa6CmsoExAZAPBeIC7B55BZSEvuCzSQGqClfoGw2IHYB4uNArIau0ByI96KJRQNxF7rCSKibkEEsEM9GVzgJiBPRxOZCDUAB65AcLwrEodDAZ0NX+A7Jx6BoXA7E0iQnAACl7SRgZ9i8ZwAAAJx0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIiBjbGFzcz0id3JzX2NoZW1pc3RyeSI+PG1vdmVyIGFjY2VudD0idHJ1ZSI+PG1pPkI8L21pPjxtbyBzdHJldGNoeT0iZmFsc2UiPiYjeEFGOzwvbW8+PC9tb3Zlcj48L21hdGg+UnJNhgAAAABJRU5ErkJggg==)
The resultant of two vetoers
and ![B with not stretchy bar on top](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAXCAYAAAAyet74AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAWNPAnzwAAAKJJREFUeNpjYECA/1jwKBhM4AcQ/wHih0B8F4g3AbEkuiIVIL6AJtYMxPPRFQYA8VI0sSAsYgz1QFyOJrYQiD3QFa6CmsoExAZAPBeIC7B55BZSEvuCzSQGqClfoGw2IHYB4uNArIau0ByI96KJRQNxF7rCSKibkEEsEM9GVzgJiBPRxOZCDUAB65AcLwrEodDAZ0NX+A7Jx6BoXA7E0iQnAACl7SRgZ9i8ZwAAAJx0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIiBjbGFzcz0id3JzX2NoZW1pc3RyeSI+PG1vdmVyIGFjY2VudD0idHJ1ZSI+PG1pPkI8L21pPjxtbyBzdHJldGNoeT0iZmFsc2UiPiYjeEFGOzwvbW8+PC9tb3Zlcj48L21hdGg+UnJNhgAAAABJRU5ErkJggg==)
physicsGeneral
physics
The resultant of two forces of magnitude 2N and 3N can never be
The resultant of two forces of magnitude 2N and 3N can never be
physicsGeneral
physics
The sum of
and
is at right angles to their difference then
The sum of
and
is at right angles to their difference then
physicsGeneral
physics
Magnitudes of
and
are 41,40 and 9 respectively,
Find the angle between
and ![Error converting from MathML to accessible text.](data:image/png;base64,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)
Magnitudes of
and
are 41,40 and 9 respectively,
Find the angle between
and ![Error converting from MathML to accessible text.](data:image/png;base64,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)
physicsGeneral
physics
If
is multiplied by 3, then the component of the new vector along z directions is
If
is multiplied by 3, then the component of the new vector along z directions is
physicsGeneral
physics
is perpendicular to
and
=
What is the angle between
and ![Error converting from MathML to accessible text.](data:image/png;base64,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)
is perpendicular to
and
=
What is the angle between
and ![Error converting from MathML to accessible text.](data:image/png;base64,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)
physicsGeneral
physics
Out of the following pairs of forces, the resultant of which can not be 18 N
Out of the following pairs of forces, the resultant of which can not be 18 N
physicsGeneral