what is the work done in moving a positive charge 12UC across two points 6cm apart
To find the work done in moving a positive charge across two points, we need to consider the electric potential difference (V) between those points and the charge (Q) being moved.
The formula to calculate the work done (W) is given by:
W = Q * V
Where:
- W represents the work done in joules (J)
- Q is the charge being moved in coulombs (C)
- V is the electric potential difference in volts (V)
In this case, the charge being moved is 12 UC, which means it is 12 microcoulombs (12 × 10^-6 C).
To determine the electric potential difference, we also need to know the electric field (E) between the two points, as the potential difference is defined as the product of the electric field and the distance between the points.
The formula for electric field (E) is given as:
E = k * (Q / r^2)
Where:
- k represents Coulomb's constant, approximately 9 x 10^9 Nm^2/C^2
- Q is the charge producing the electric field in coulombs (C)
- r is the distance between the charges in meters (m)
Assuming the electric field is due to a point charge at one of the points, we can calculate the electric field.
Now, with the electric field calculated, we can find the electric potential difference (V) as follows:
V = E * r
Finally, we can plug in the values of Q and V into the formula for work done to obtain the answer.