Class 12 Exam > Class 12 Questions > The electric potential V at any point (x, y, ... Start Learning for Free
The electric potential V at any point (x, y, z), all inmeters in space is given by V = 4x2 volt. Theelectric field at the point (1, 0, 2) in volt/meteris [2011M]
- a)8 along positive X-axis
- b)16 along negative X-axis
- c)16 along positive X-axis
- d)8 along negative X-axis
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The electric potential V at any point (x, y, z), all inmeters in space...
Most Upvoted Answer
The electric potential V at any point (x, y, z), all inmeters in space...
Given: Electric potential V = 4x² V at any point (x, y, z).
To find: Electric field at point (1, 0, 2) in volt/meter.
Formula: Electric field E = -∇V, where ∇ is the gradient operator.
Calculation:
- Taking the gradient of V, we get:
∇V = (∂V/∂x)î + (∂V/∂y)ĵ + (∂V/∂z)k
∂V/∂x = 8x, ∂V/∂y = 0, ∂V/∂z = 0
∇V = 8xî
- Now, substituting the given point (1, 0, 2) in the above equation, we get:
∇V = 8(1)î = 8î
- Finally, using the formula E = -∇V, we get:
E = -8î
Since the x-component of the electric field is negative, the electric field is directed along the negative x-axis.
Therefore, the correct option is (d) 8 along negative X-axis.
To find: Electric field at point (1, 0, 2) in volt/meter.
Formula: Electric field E = -∇V, where ∇ is the gradient operator.
Calculation:
- Taking the gradient of V, we get:
∇V = (∂V/∂x)î + (∂V/∂y)ĵ + (∂V/∂z)k
∂V/∂x = 8x, ∂V/∂y = 0, ∂V/∂z = 0
∇V = 8xî
- Now, substituting the given point (1, 0, 2) in the above equation, we get:
∇V = 8(1)î = 8î
- Finally, using the formula E = -∇V, we get:
E = -8î
Since the x-component of the electric field is negative, the electric field is directed along the negative x-axis.
Therefore, the correct option is (d) 8 along negative X-axis.
 | Explore Courses for Class 12 exam |  |
Top Courses for Class 12View all
Top Courses for Class 12
Question Description
The electric potential V at any point (x, y, z), all inmeters in space is given by V = 4x2 volt. Theelectric field at the point (1, 0, 2) in volt/meteris [2011M]a)8 along positive X-axisb)16 along negative X-axisc)16 along positive X-axisd)8 along negative X-axisCorrect answer is option 'D'. Can you explain this answer? for Class 12 2026 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The electric potential V at any point (x, y, z), all inmeters in space is given by V = 4x2 volt. Theelectric field at the point (1, 0, 2) in volt/meteris [2011M]a)8 along positive X-axisb)16 along negative X-axisc)16 along positive X-axisd)8 along negative X-axisCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The electric potential V at any point (x, y, z), all inmeters in space is given by V = 4x2 volt. Theelectric field at the point (1, 0, 2) in volt/meteris [2011M]a)8 along positive X-axisb)16 along negative X-axisc)16 along positive X-axisd)8 along negative X-axisCorrect answer is option 'D'. Can you explain this answer?.
The electric potential V at any point (x, y, z), all inmeters in space is given by V = 4x2 volt. Theelectric field at the point (1, 0, 2) in volt/meteris [2011M]a)8 along positive X-axisb)16 along negative X-axisc)16 along positive X-axisd)8 along negative X-axisCorrect answer is option 'D'. Can you explain this answer? for Class 12 2026 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The electric potential V at any point (x, y, z), all inmeters in space is given by V = 4x2 volt. Theelectric field at the point (1, 0, 2) in volt/meteris [2011M]a)8 along positive X-axisb)16 along negative X-axisc)16 along positive X-axisd)8 along negative X-axisCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The electric potential V at any point (x, y, z), all inmeters in space is given by V = 4x2 volt. Theelectric field at the point (1, 0, 2) in volt/meteris [2011M]a)8 along positive X-axisb)16 along negative X-axisc)16 along positive X-axisd)8 along negative X-axisCorrect answer is option 'D'. Can you explain this answer?.
Solutions for The electric potential V at any point (x, y, z), all inmeters in space is given by V = 4x2 volt. Theelectric field at the point (1, 0, 2) in volt/meteris [2011M]a)8 along positive X-axisb)16 along negative X-axisc)16 along positive X-axisd)8 along negative X-axisCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12. Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of The electric potential V at any point (x, y, z), all inmeters in space is given by V = 4x2 volt. Theelectric field at the point (1, 0, 2) in volt/meteris [2011M]a)8 along positive X-axisb)16 along negative X-axisc)16 along positive X-axisd)8 along negative X-axisCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The electric potential V at any point (x, y, z), all inmeters in space is given by V = 4x2 volt. Theelectric field at the point (1, 0, 2) in volt/meteris [2011M]a)8 along positive X-axisb)16 along negative X-axisc)16 along positive X-axisd)8 along negative X-axisCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for The electric potential V at any point (x, y, z), all inmeters in space is given by V = 4x2 volt. Theelectric field at the point (1, 0, 2) in volt/meteris [2011M]a)8 along positive X-axisb)16 along negative X-axisc)16 along positive X-axisd)8 along negative X-axisCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of The electric potential V at any point (x, y, z), all inmeters in space is given by V = 4x2 volt. Theelectric field at the point (1, 0, 2) in volt/meteris [2011M]a)8 along positive X-axisb)16 along negative X-axisc)16 along positive X-axisd)8 along negative X-axisCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The electric potential V at any point (x, y, z), all inmeters in space is given by V = 4x2 volt. Theelectric field at the point (1, 0, 2) in volt/meteris [2011M]a)8 along positive X-axisb)16 along negative X-axisc)16 along positive X-axisd)8 along negative X-axisCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 12 tests.
| Explore Courses for Class 12 exam | |
Top Courses for Class 12
Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
