any gadget won't work, as no current would be able to pass due to lack of electric potential difference
electric field inside the conducting sphere is ZER0..! because their are equivalent charges all around the sphere which makes the net force zero hence we can say that the electric field is also zero.!
The point at infinity is often used in discussing electric potential as a reference point to define the zero level of potential energy. This helps in calculating the potential difference between different points in the electric field. By setting the potential at infinity to zero, it allows for a consistent and convenient way to describe electric potential.
Inside a shell of charge, the electric field strength is zero, regardless of the thickness of the shell or the distribution of charge on it. This is due to the property of electrostatics known as Gauss's Law, which states that the electric field inside a closed surface enclosing a charge distribution is zero.
The potential gradient gives the electric field intensity E at point in electric field which is directed from high to low potential. An electron being a negative charge particle therefore will tend to move from low potential to high potential, hence will move up the electric field
The electric field is the negative gradient of the electric potential because it points in the direction of steepest decrease in potential. This relationship is based on the definition of potential energy as work done per unit charge. Negative gradient signifies the direction of decreasing potential with respect to position in space.
Yes, if the electric field is zero, then the electric potential is also zero.
The electric potential at the point on the x-axis where the electric field is zero is zero.
If the electric potential is zero, the electric field at that point is perpendicular to the equipotential surface.
No, the electric field does not necessarily have to be zero just because the potential is constant in a given region of space. The electric field is related to the potential by the gradient, so if the potential is constant, the electric field is zero only if the gradient of the potential is zero.
If the potential is constant through a given region of space, the electric field is zero in that region. This is because the electric field is the negative gradient of the electric potential, so if the potential is not changing, the field becomes zero.
In a region of space where the potential is constant, the electric field is zero. This is because the electric field is the gradient of the electric potential, so if the potential is not changing, there is no electric field present.
The electric potential inside a ring conductor on a conducting paper is zero because the electric field inside a conductor in electrostatic equilibrium is zero. This is due to the charges redistributing themselves in such a way that the electric field cancels out inside the conductor. Since the electric potential is directly related to the electric field, the potential inside the conductor is also zero.
When the electric field is zero, it means there is no change in electrical potential across the field. In other words, the equipotential surfaces are parallel, indicating a constant electrical potential. This relationship arises from the fact that the electric field is the negative gradient of the electrical potential.
no electric field is not a potential field .ELECTRIC FIELD IS A SCALAR QUANTITY WHERE AS POTENTIAL IS THE VECTOR QUANTITY. NO SCALAR QUANTITY HAS A FIELD SO THERE IS NO RELATION BETWEEN ELECTRIC FIELD AND POTENTIAL OR IN OTHER WORD POTENTIAL HAS NO FIELD <<>> An electric field is a vector field, because it has magnitude and direction. A pair of charged parallel plates has an electric field between them directed from the negative to the positive plate. The electric field is the gradient of the potential, which is another field but a scalar one. A field is just a quantity with a value that depends on positon. The potential is measured in volts and if one plate is grounded and the other at positive potential V, the potential rises from zero to V as the position changes from the lower plate to the top one.
There are two answers to your question, and they depend on whether we're talking about electrostatics or electrodynamics.Electrostatics:No. In the absence of a varying magnetic field, the electric field intensity is equal to just the negative gradient of the electric potential; E = -∇Φ. So, if Φ is 0, its gradient, which is just the vector field made from the partial derivatives of Φ, has to be 0. The reverse, however, can happen. E can be 0, but Φ doesn't have to be; it can also be a non-zero constant. Electrodynamics:Yes. In the presence of a varying magnetic field, E = -∇Φ - ∂A/∂t, where A is the magnetic vector potential, and t is time. So, if Φ is 0 this time, E can still be equal to the possible non-zero term, -∂A/∂t.
Electric field intensity is related to electric potential by the equation E = -∇V, where E is the electric field intensity and V is the electric potential. This means that the electric field points in the direction of steepest decrease of the electric potential. In other words, the electric field intensity is the negative gradient of the electric potential.
Yes, the electric field can be zero at points where the net charge is zero or where the electric field vectors cancel each other out.