Concept explainers
(a)
The total energy stored in the system.
(a)
Answer to Problem 56AP
Total energy stored in the system is
Explanation of Solution
Below figure shows the system of four capacitors.
Figure-(1)
Write the expression for equivalent capacitance for series capacitors.
Here,
Write the expression for equivalent capacitance for parallel capacitors.
Here,
Write the expression for net equivalent capacitance.
Here,
Write the expression for energy stored in the system.
Here,
Conclusion:
Substitute,
Further solve the above equation.
Substitute,
Further solve the above equation.
Substitute
Substitute
Further solve the above equation.
Therefore, total energy stored in the system is
(b)
The energy stored by each capacitor.
(b)
Answer to Problem 56AP
Energy stored at
Explanation of Solution
Write the expression for charge in the capacitor.
Here,
Write the expression for energy stored in the capacitor.
Conclusion:
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Therefore, energy stored at
(c)
The observation from part (a) and part (b).
(c)
Answer to Problem 56AP
Sum of the answers of part (a) is same as part (b).
Explanation of Solution
Write the expression for total energy stored.
Conclusion:
Substitute
Therefore, sum of the answers of part (a) is same as part (b).
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Chapter 26 Solutions
Physics: for Science.. With Modern. -Update (Looseleaf)
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- Consider the combination of capacitors in Figure P16.42. (a) Find the equivalent single capacitance of the two capacitors in series and redraw the diagram (called diagram 1) with this equivalent capacitance. (b) In diagram 1, find the equivalent capacitance of the three capacitors in parallel and redraw the diagram as a single battery and single capacitor in a loop. (c) Compute the charge on the single equivalent capacitor. (d) Returning to diagram 1, compute the charge on each individual capacitor. Does the sum agree with the value found in part (c)? (e) What is the charge on the 24.0-F capacitor and on the 8.00-F capacitor? Compute the voltage drop across (f) the 24.0-F capacitor and (g) the 8.00-F capacitor. Figure P16.42arrow_forward(a) Find the equivalent capacitance between points a and b for the group of capacitors connected as shown in Figure P16.46 if C1 = 5.00 F, C2 = 10.00 F, and C3 = 2.00 F. (b) If the potential between points a and b is 60.0 V, what charge is stored on C5? Figure P16.46arrow_forwardFor the system of capacitors shown in Figure P16.41, find (a) the equivalent capacitance of the system, (b) the charge on each capacitor, and (c) the potential difference across each capacitor. Figure P16.41 Problems 41 and 60.arrow_forward
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