5. (50 points) A circuit is shown in the diagram belowiassume all capacitors are fully charged. The values of capacitance are: (3'1 : 5nF, Cg : 10nF, 03 : 5 HF, 04 : 5 nF, C5 2 80 nF,and we initially do not know what the black box component is. Figure 5: circuit diagram a. (10 points) What is the potential difference across the black box if the magnitude of the charge on the plates of C5 is 20 n0? b. (15 points) You later nd out that this black box circuit component behaves just like a capacitor with 05 : 1 nF. What is the equivalent capacitance of the total network of capacitors? c. (25 points) What is the magnitude of charge 011 the plates of all 6 capacitors