To determine how much charge flows from each terminal of a 12.0-V battery when it is connected to a 7 µF capacitor, we can use the formula for capacitance:
C = Q/V
where C is the capacitance in farads, Q is the charge in coulombs, and V is the voltage across the capacitor in volts.
We can rearrange this formula to solve for Q:
Q = CV
Substituting the given values, we get:
Q = (7 µF)(12.0 V) = 84 µC
Since the capacitor is initially uncharged, all of the charge that flows must come from the battery. Therefore, the same amount of charge (84 µC) flows from each terminal of the battery