Electrostatic field lines do not form closed loops. Give reason. [ 1 mark question ]

Electrostatic field lines do not form closed loops. Give reason. [ 1 mark question ]


4 Answers

Riddhish Bhalodia
askIITians Faculty 434 Points
7 years ago
A force is said to be conservative if its work along a trajectory to go from a point Ato a point B is equal to the difference U(A)−U(B) where U is a function called potential energy. This implies that if A=Bthen there is no change in potential energy. This fact is independent of the increase or not of the kinetic energy.

If a conservative force were to form loops, it could provide a non zero net work (because the direction of the force could always be the same as that of the looping trajectory) to go from A and then back to A, while at the same time its conservative character would ensure that this work should be zero; which is a contradiction.

Hence, "conservative force" and "forming loops" are two incompatible properties that cannot be satisfied at the same time.

And electrostatic fields are conservative in nature and hence do not form close loops
19 Points
6 years ago
B`coz they don`t converge at one point as in case of magnetic field lines. They depend on +ve & -ve charges that can extend infinity in any particular due direction.
19 Points
6 years ago
As the workdone around the closed loop is zero. But we know electric field lines workdone cannot be zero.
ankit singh
askIITians Faculty 614 Points
3 years ago
Electric field lines does not form closed loops because electric line of force start from surface of positive charge and end at the surface of negative charge and electric line of force Perpendicular to the surface of charge body. ... Because electric field lines always moves from positive to negative.

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