A point charge q is rotated along a circle in the electric field generated by another point charge Q

A point charge q is rotated along a circle in the electric field generated by another point charge Q. The work done by the electric field on the rotating charge in one complete revolution is :-
(a) zero
(b) positive
(c) negative
(d) zero if the charge Q is at the Centre and nonzero otherwise
Work Done by Electric Field on a Rotating Charge in One Complete Revolution ⚡🔋
In this problem, we explore the scenario where a point charge
𝑞
q is rotated along a circular path in the electric field created by another point charge
𝑄
Q. The question asks: What is the work done by the electric field on charge
𝑞
q in one complete revolution? 🔄
Explanation:
When a point charge
𝑞
q moves in the electric field generated by another point charge
𝑄
Q, the electric force acting on
𝑞
q is radial and directed either towards or away from
𝑄
Q. This force is always perpendicular to the path of the charge as it moves in a circle. 🔄
For the work done to be non-zero, the force and the displacement must have a component in the same direction. However, in this case, since the electric force is always perpendicular to the displacement of the charge along the circle, the work done is zero.
Mathematically, we can say that the angle between the electric force and the displacement is 90°, and since
cos
⁡
(
90
°
)
=
0
cos(90°)=0, the work done in one complete revolution is zero. ❌
Thus, the correct answer is:
(a) Zero ✅
Key Concepts:
Electric Force ⚡: The force exerted by a charged particle on another charge.
Work Done 💡: The work done by a force is calculated using
𝑊
=
𝐹
⋅
𝑑
⋅
cos
⁡
𝜃
W=F⋅d⋅cosθ, where
𝐹
F is the force,
𝑑
d is the displacement, and
𝜃
θ is the angle between them.
Radial Force 🔴: In this case, the electric force is radial and perpendicular to the circular displacement of the charge.
Tags:
ElectricField, PointCharge, WorkDone, Electrostatics, PhysicsForJEE, PhysicsForNEET, JEEPhysics, NEETPhysics, CoulombsLaw, PhysicsTutorial, PhysicsProblemSolving, PhysicsConcepts, WorkEnergyTheorem, PhysicsLearning, ElectricForce, JEEPreparation, NEETPreparation, ElectricFieldWork, ChargeInteraction, PhysicsFun
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Sir this question is also very nice ❤❤❤❤❤

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