Final answer:
The capacitance of the capacitor is 100 µF
Step-by-step explanation:
To determine the capacitance of the capacitor, we can use the formula:
Q = CV
Where Q is the charge on the capacitor, C is the capacitance, and V is the voltage across the capacitor.
Given that the capacitor acquires a charge of 0.003 C when connected across a 30-V battery, we can rearrange the formula to solve for C:
C = Q/V
Plugging in the values, we get:
C = 0.003 C / 30 V = 0.0001 F = 100 µF