Four capacitors are connected as shown in the figure below. ( C = 10.0 F.) 20.0

Question

Four capacitors are connected as shown in the figure below. (C = 10.0 F.)

20.0 F capacitor     C 6.00 F capacitor     C 3.00 F capacitor     C capacitor C    
Use the charges you have calculated on other capacitors to find the charge on capacitor C. C Four capacitors are connected as shown in the figure below. (C = 10.0 ½F.) Incorrect: Your answer is incorrect. Use the charges you have calculated on other capacitors to find the charge on capacitor C. ½C Correct: Your answer is correct. ½C capacitor C Correct: Your answer is correct. ½C 3.00 ½F capacitor Correct: Your answer is correct. ½C 6.00 ½F capacitor Correct: Your answer is correct. ½F (b) Calculate the charge on each capacitor, taking ?Vab = 18.0 V. (a) Find the equivalent capacitance between points a and b.

Explanation / Answer

a)
the equivalent capacitances between
C and 3uf in series:
= 10*3/(10 + 3)
= 2.30 uF
the previous and 6uF in parallel:
= 2.30 + 6
= 8.3 uF
the previous and 20 uF in series:
= 8.3*20/(8.3 + 20)
= 5.86uF, equivalent capacitance between points a and b

b)
the charge between points a and b
= 5.86*15
= 87.98 uC

the charge on 20 uF
= 87.98 uC

the charge on parallel capacitors
= 87.98 uC
the voltage across parallel capacitors
= 87.98/8.3
= 10.6 v
the charge on 6 uF
= 6*10.6
= 63.6 uC

the charge on series capacitors
= 2.3*10.6
= 24.38 uC
the charge on 3 uF
= 24.38 uC

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