How to solve? Help please!

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1 Answer
Feb 8, 2018

#"See the description section for details."#

Explanation:

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  • First we must calculate the system's capacity.
  • The capacitors are connected in series.
  • We can calculate the equivalent capacitance of series-connected capacitors using the formula given below.

#C=(C_1*C_2)/(C_1+C_2)#

#C=(6*3)/(6+3)=18/9=2 mu F#

#2 mu F=2*10^-6 F#

  • Let's calculate the electrical charge stored in the system.

#Q=C*V#

#"where;"#

#Q:"charge stored in system"#

#V:10V#

#C=2*10^-6 F#

#Q=2*10^-6*10=2*10^-5 C#

  • The amount of charge stored by the series connected capacitors is equal.
  • The electric charge of each of the series-connected capacitors is equal to the electric charge of the system.

#"charge stored on "C_1:2*10^-5 C#

#"charge stored on "C_2:2*10^-5 C#

#"charge stored on system "C:2*10^-5 C#

  • In the second circuit we see that the poles have changed. The capacitors are connected in parallel.

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  • Since the voltages of parallel-connected capacitors are equal, it is necessary to make a charge transfer between the capacitors.

-The new charge distribution is as follows.

#"if charge of "C_2=x#

#"then charge of "C_1=2x#

#x+2x="system's charge"#

#3x=2*10^-5#

#x=2/3*10^-5C" charge of "C_2#

#2x=2*2/3*10^-5=4/3 *10^-5C" charge of C_1"#