For the circuit shown in the figure below, (V = 8.3 V) (a) Find the equivalent c

Question

For the circuit shown in the figure below, (V = 8.3 V)

(a) Find the equivalent capacitance between the terminals

?F

(b) Find the charge stored on the positively charged plate of each capacitor

0.3 ?F capacitor ?C

1.00 ?F capacitor ?C

0.250 ?F capacitor ?C

(c) Find the voltage across each capacitor

0.3 ?F capacitor V

1.00 ?F capacitor V

0.250 ?F capacitor V

(d) Find the total stored energy.

?J

For the circuit shown in the figure below, (V = 8.3 V) Find the equivalent capacitance between the terminals ?F Find the charge stored on the positively charged plate of each capacitor

Explanation / Answer

1 uf and 0.25 uf are in parallel with a equivalent capacitance of 1.25 uf which is in series with 0.3 uf capacitor

so equivalent C=0.241 uf

Q=CV=> Q= 0.241*8.3= 2 uC which will be stored in 0.3 uf capacitor and further distribute in 1 uf and 0.25uf capacitor.

Q=CV for 0.3 uf gives voltage across 0.3uf capacitor=6.7V => voltage across 1 uf and 0.25 uf capacitor= 8.3-6.7=1.6V

=> Q=1.6*1=1.6 uC in 1 uf capacitor

=>Q=1.6*0.25=0.4uc in 0.25 uf capacitor

total energy stored = 1/2*C*V^2 for equivalent capacitor=1/2*0.241*8.3^2=8.3 uJ

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