( 5 % ) Problem 20 : Suppose you have a 9.00 V battery, a 2.4 F capacitor, and a
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( 5 % ) Problem 20 : Suppose you have a 9.00 V battery, a 2.4 F capacitor, and a 8.45 F capacitor. 25% Part (a) Find the total charge stored in the system if the capacitors are connected to the battery in series in C. Grade Summary Deductions 0% Potential 100% tan() | Submissions 4 5 6 Attempts remaining: 3 (2% per attempt) detailed view cotanO asin acosO atan acotan sinhO °Degrees Radians h tanhO cotanh+ VO Submit Hint I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback:0%deduction per feedback. Submission History Totals 0% Answer Hints Feedback Totals 0% 0% 0% 25% Part (b) Find the energy stored in the systern if the capacitors are connected to the battery in series in J. 25% Part (c) Find the charge if the capacitors are connected to the battery in parallel in C. 25% Part (d) Find the energy stored if the capacitors are connected to the battery in parallel in JExplanation / Answer
(a) Net capacitance when capacitor are connected in series is
1/Cnet = 1/C1 + 1/C2
1/CNet = 1/2.4 + 1/8.45
CNet = 1.869 uF
Now we know that the charge stored in the capacitor
q = CV
where q is charge on capacitor , C is net capacitance and V is the voltage
q = 1.869*10-6*9 = 16.821*10-6 C
(b) Eneregy stored in the capacitor = (1/2)CV2 = (1/2)*(1.869*10-6)*92 = 75.6949*10-6 J
(C) When the capacitor are connected in the paralllel then net capacitance
CNet = C1 + C2 = 2.4+ 8.45 = 10.85 uF
Hence charge = CV = 10.85*10-6*9 = 97.65*10-6 C
(d) Energy stored = (1/2)CV2 = (1/2)*(10.85*10-6)*92 = 439.425*10-6 J
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