Answer :
The capacitance of a capacitor can be determined using the formula C = Q/V, where C is the capacitance, Q is the charge stored on the plates, and V is the voltage across the capacitor.
In this case, we are given that the capacitor stores 55 C of charge on its plates and is connected to a 6 V battery. Since the capacitor is fully charged, the voltage across it is equal to the battery voltage, which is 6 V.
Using the formula C = Q/V, we can substitute the given values to find the capacitance:
C = 55 C / 6 V
Simplifying the equation, we have:
C = 9.17 F
Therefore, the capacitance of the capacitor is 9.17 Farads.
It's important to note that Farads (F) is the unit of capacitance. The capacitance value indicates how much charge the capacitor can store per volt of voltage applied across it. In this case, the capacitor can store 9.17 Coulombs of charge per volt.
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