In the rectangle of the figure the sides have lengths 7.25 cm and 18.6 cm, q1 = -5.17 μC, and q2 = +2.07 μC. How much work is required to move a charge q3 = +2.94 μC from B to A?
To calculate the work required to move a charge from point B to point A in an electric field, we can use the formula:
Work = change in potential energy
The potential energy at a point is given by:
Potential energy = charge x electric potential
In this case, we have two charges - q1 and q2 - and we want to calculate the work required to move a third charge q3 from B to A.
First, let's calculate the electric potential at point B:
Electric potential due to charge q1 = k * q1 / r1
where k is the Coulomb's constant (9 x 10^9 Nm^2/C^2) and r1 is the distance between q1 and point B.
Next, let's calculate the electric potential at point A:
Electric potential due to charge q2 = k * q2 / r2
where r2 is the distance between q2 and point A.
The change in potential energy is given by:
Change in potential energy = q3 * (electric potential at A - electric potential at B)
where q3 is the charge we want to move from B to A.
Lastly, we can calculate the work required using the formula:
Work = Change in potential energy
Substituting the values and performing the calculations will give us the answer.