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الفيزياء العامة الجزء الثاني#موقع الفيزياء.كوم

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Lectures in General Physics

Solution

C 2 and C 3 are connected in parallel, therefore

C′ =C 2 +C 3 =4+12=16µF

Now C′ is connected in series with C 1 , therefore the equivalent capacitance

is

1

C

1 1

= +

C′

C

1

=

1

6

+

1

16

=

11

48

C = 4.36µF

The total charge Q =CV = 4.36x12 = 52.36µC

The charge will be equally distributed on the capacitor C 1 and C′

Q 1 =Q′ =Q=52.36µC

But Q′ = C′ V’, therefore

V ′ = 52.36/16=3.27 volts

The potential difference on C 1 is

V 1 =12-3.27=8.73volts

The potential difference on both C 2 and C 3 is equivalent to V ′ since they

are connected in parallel.

V 2 = V 3 =3.27volts

Q 2 = C 2 V 2 = 13.08µC

Q 3 = C 3 V 3 = 39.24µC

Dr. Hazem Falah Sakeek

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