Final answer:
The capacitance needed to store 10.0 C of charge with a 10.0-volt battery is calculated using the formula C = Q / V, resulting in a required capacitance of 1.0 Farad.
Step-by-step explanation:
To determine the capacitance needed to store 10.0 C of charge when connected to a 10.0-volt battery, one can use the relationship between charge (Q), voltage (V), and capacitance (C), which is given by the formula Q = C * V. Rearranging the formula to solve for the capacitance gives us C = Q / V.
Using the given values, the capacitance required can be calculated:
- Q = 10.0 C (charge needed to be stored)
- V = 10.0 V (voltage of the battery)
Capacitance required, C = Q / V = 10.0 C / 10.0 V = 1.0 Farad (F).