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Two electric dipoles P1 and P2 are placed at (0, 0, 0) and (1, 0, 0) respectively with both of them
pointing in the +z direction. Without changing the orientations of the dipoles P1 is moved to (0, 2,
0). The ratio of the electrostatic potential energy of the dipoles after moving?
pointing in the +z direction. Without changing the orientations of the dipoles P1 is moved to (0, 2,
0). The ratio of the electrostatic potential energy of the dipoles after moving?
Most Upvoted Answer
Two electric dipoles P1 and P2 are placed at (0, 0, 0) and (1, 0, 0) r...
Initial Configuration:
- Dipole P1 at (0, 0, 0) pointing in the +z direction
- Dipole P2 at (1, 0, 0) pointing in the +z direction
Final Configuration:
- Dipole P1 moved to (0, 2, 0) without changing orientation
Calculation of Electrostatic Potential Energy:
- The electrostatic potential energy (U) of a dipole is given by U = -p.E, where p is the dipole moment and E is the electric field.
- The electric potential at a point due to a dipole is given by V = k.p.cosθ/r^2, where k is the electrostatic constant, p is the dipole moment, θ is the angle between the dipole moment and the line joining the point to the dipole, and r is the distance between the dipole and the point.
Ratio of Electrostatic Potential Energy:
- The electrostatic potential energy of a system of dipoles is the sum of the potential energies of individual dipoles.
- Initially, the potential energy of the system is the sum of the potential energies of P1 and P2 at their initial positions.
- After moving P1 to (0, 2, 0), the potential energy of the system changes as the distance between P1 and P2 changes, affecting the electric field and hence the potential energy.
- The ratio of the final potential energy to the initial potential energy can be calculated using the expressions for potential energy and electric potential mentioned above.
In conclusion, the ratio of the electrostatic potential energy of the dipoles after moving P1 can be determined by calculating the potential energies of the dipoles in both the initial and final configurations and comparing them.
- Dipole P1 at (0, 0, 0) pointing in the +z direction
- Dipole P2 at (1, 0, 0) pointing in the +z direction
Final Configuration:
- Dipole P1 moved to (0, 2, 0) without changing orientation
Calculation of Electrostatic Potential Energy:
- The electrostatic potential energy (U) of a dipole is given by U = -p.E, where p is the dipole moment and E is the electric field.
- The electric potential at a point due to a dipole is given by V = k.p.cosθ/r^2, where k is the electrostatic constant, p is the dipole moment, θ is the angle between the dipole moment and the line joining the point to the dipole, and r is the distance between the dipole and the point.
Ratio of Electrostatic Potential Energy:
- The electrostatic potential energy of a system of dipoles is the sum of the potential energies of individual dipoles.
- Initially, the potential energy of the system is the sum of the potential energies of P1 and P2 at their initial positions.
- After moving P1 to (0, 2, 0), the potential energy of the system changes as the distance between P1 and P2 changes, affecting the electric field and hence the potential energy.
- The ratio of the final potential energy to the initial potential energy can be calculated using the expressions for potential energy and electric potential mentioned above.
In conclusion, the ratio of the electrostatic potential energy of the dipoles after moving P1 can be determined by calculating the potential energies of the dipoles in both the initial and final configurations and comparing them.
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Two electric dipoles P1 and P2 are placed at (0, 0, 0) and (1, 0, 0) respectively with both of thempointing in the +z direction. Without changing the orientations of the dipoles P1 is moved to (0, 2,0). The ratio of the electrostatic potential energy of the dipoles after moving?
Question Description
Two electric dipoles P1 and P2 are placed at (0, 0, 0) and (1, 0, 0) respectively with both of thempointing in the +z direction. Without changing the orientations of the dipoles P1 is moved to (0, 2,0). The ratio of the electrostatic potential energy of the dipoles after moving? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two electric dipoles P1 and P2 are placed at (0, 0, 0) and (1, 0, 0) respectively with both of thempointing in the +z direction. Without changing the orientations of the dipoles P1 is moved to (0, 2,0). The ratio of the electrostatic potential energy of the dipoles after moving? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two electric dipoles P1 and P2 are placed at (0, 0, 0) and (1, 0, 0) respectively with both of thempointing in the +z direction. Without changing the orientations of the dipoles P1 is moved to (0, 2,0). The ratio of the electrostatic potential energy of the dipoles after moving?.
Two electric dipoles P1 and P2 are placed at (0, 0, 0) and (1, 0, 0) respectively with both of thempointing in the +z direction. Without changing the orientations of the dipoles P1 is moved to (0, 2,0). The ratio of the electrostatic potential energy of the dipoles after moving? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two electric dipoles P1 and P2 are placed at (0, 0, 0) and (1, 0, 0) respectively with both of thempointing in the +z direction. Without changing the orientations of the dipoles P1 is moved to (0, 2,0). The ratio of the electrostatic potential energy of the dipoles after moving? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two electric dipoles P1 and P2 are placed at (0, 0, 0) and (1, 0, 0) respectively with both of thempointing in the +z direction. Without changing the orientations of the dipoles P1 is moved to (0, 2,0). The ratio of the electrostatic potential energy of the dipoles after moving?.
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Two electric dipoles P1 and P2 are placed at (0, 0, 0) and (1, 0, 0) respectively with both of thempointing in the +z direction. Without changing the orientations of the dipoles P1 is moved to (0, 2,0). The ratio of the electrostatic potential energy of the dipoles after moving?, a detailed solution for Two electric dipoles P1 and P2 are placed at (0, 0, 0) and (1, 0, 0) respectively with both of thempointing in the +z direction. Without changing the orientations of the dipoles P1 is moved to (0, 2,0). The ratio of the electrostatic potential energy of the dipoles after moving? has been provided alongside types of Two electric dipoles P1 and P2 are placed at (0, 0, 0) and (1, 0, 0) respectively with both of thempointing in the +z direction. Without changing the orientations of the dipoles P1 is moved to (0, 2,0). The ratio of the electrostatic potential energy of the dipoles after moving? theory, EduRev gives you an
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