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What equation connects both scalar potential and vector potential?

The equation that connects the scalar potential (V) and the vector potential (A) is given by: E = -∇V - ∂A/∂t, where E is the electric field, ∇ is the gradient operator, and ∂t represents the partial derivative with respect to time.


Is gravitational potential a vector or scalar quantity?

vector


Is electric potential a vector quantity?

No, electric potential is a scalar quantity, not a vector quantity.


What is the relationship between the scalar potential and the electric field in a given region of space?

In a given region of space, the scalar potential is related to the electric field by the gradient of the scalar potential. The electric field is the negative gradient of the scalar potential. This means that the electric field points in the direction of the steepest decrease in the scalar potential.


Is the Laplacian a vector?

No, the Laplacian is not a vector. It is a scalar operator used in mathematics and physics to describe the divergence of a gradient.


Is temperature gradient a vector or scalar?

Temperature gradient is a vector quantity. It represents the rate of change in temperature with respect to position and has both magnitude and direction.


Is a electric potential scalar or vector?

Electric potential is a scalar.


Is gravitational potential energy a scalar or vector quantity?

Gravitational potential energy is a scalar quantity. It only depends on the height of an object above a reference point and does not have a direction associated with it.


Electrostatic potential is a Scalar Quantity or Vector Quantity?

Electrostatic potential is a scalar quantity. It represents the potential energy per unit charge at a given point in an electric field.


Is electric potential energy a vector or scalar quantity?

Electrical Potential Energy is a scalar or real number. Ep = zc e2 /4pi r.Total Energy is a Quaternion, the sum of the real or potential energy and the vector energy, Ev= mcV;E = Es + Ev = zc e2 /4pi r + mcV where Ev = mcV and V is the vector velocity.


What is a scalar times a vector?

A scalar times a vector is a vector.


Is potential energy a scalar or vector quantity?

Potential energy is a scalar quantity. Energy is the sum of a scalar part and a vector part. Energy W is the product of velocity V and momentum P; W = [c+V]P =[ -V.P + cP]. The Potential energy is the scalar energy -V.P=-vmv = -mv^2.Physicists consider energy a scalar quantity, but that is incorrect, energy is a Quaternion quantity, a scalar and a vector . The vector energy is the "Dark Energy" is hidden in plain sight, cP.