Question

Write the formula for potential:
A. $V=\dfrac{U}{It}$
B. $V=\dfrac{Ut}{I}$
C. $V=\dfrac{UI}{t}$
D. $V=UIt$

Answer 1

Hint: The work done in moving a change q in an electric potential V is given by the product of the charge q and the electric potential V.

Complete step by step answer:
We know that electric current can be defined as the rate of flow of charge over a point or region. So the charge q can be defined as a product of electric current and time taken for the charge to pass through the point.
$\text{q}=\text{It}$…..equation (1)
The work done in moving a charge of charge q in a region of electric potential V is given by the product of the charge and the potential V. The work done is stored as energy U in the field. So we can write
$\text{U}=\text{qV}$ ….equation (2)
From equation (1), we can write equation (2) as,
$\text{U}=\text{VIt}$
So we can write the potential V as,
$\text{V}=\dfrac{\text{U}}{\text{It}}$
So the correct answer to the question is option(A)- $\dfrac{\text{U}}{\text{It}}$

Additional Information:
An electric potential (also called the electric field potential, electrostatic potential) is the amount of work needed to move a unit of charge from a reference point to a specific point inside the field without producing an acceleration.
Electric potential energy, or Electrostatic potential energy, is a potential energy (measured in joules) that results from conservative Coulomb forces and is associated with the configuration of a particular set of point charges within a defined system.

Note: This electric potential can be calculated in either a static (time-invariant) or a dynamic (varying with time) electric field at a specific time in units of joules per coulomb (J/C), or volts (V). The electric potential at infinity is assumed to be zero.