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# (Solved): (7\%) Problem 12: Two capacitors are connected in a circuit in series as shown in the figure. The ... (7\%) Problem 12: Two capacitors are connected in a circuit in series as shown in the figure. The capacitances are $$C_{1}=15 \mu \mathrm{F}$$, and $$C_{2}=13 \mu \mathrm{F}$$. $$\triangleq 25 \%$$ Part (a) Express the total capacitance $$C$$ in terms of the two capacitances $$C_{1}$$ and $$C_{2}$$. $$C$$ Hints: deduction per hint. Hints remaining: 1 Feedback: deduction per feedback. $$\Delta 25 \%$$ Part (b) Calculate the numerical value of the total capacitance $$C$$ in $$\mu \mathrm{F}$$ ? $$\Delta 25 \%$$ Part (c) If the battery carries a voltage of $$\Delta V$$, express the total charge $$Q$$ stored in the circuit in terms of capacitance $$C$$ and voltage $$\Delta V$$. $$\triangle 25 \%$$ Part (d) Calculate the numerical value of $$Q$$ in C given $$\Delta V=6.5 \mathrm{~V}$$.

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