Final answer:
To find the voltage drop (V_AB) between point A and point B, you can use the formula V_AB = W/q, where W is the work done to move the charge and q is the magnitude of the charge. For (a) q = 6 C and W = -30 J, the voltage drop is -5 V. For (b) q = -3 C and W = -30 J, the voltage drop is 10 V.
Step-by-step explanation:
To calculate the voltage drop VAB between two points A and B for different charges, we can use the relationship between work (W), charge (q), and voltage (V) which is given by the equation W = qV. The work done to move a charge is negative when the charge moves from a higher potential to a lower potential.
(a) Given q = 6 C and W = -30 J, we can substitute these values into the formula to find the voltage drop:
VAB = (-30 J) / (6 C) = -5 V
(b) Given q = -3 C and W = -30 J, we can substitute these values into the formula to find the voltage drop:
VAB = (-30 J) / (-3 C) = 10 V