Page Summary of relevant concepts: (A) A capacitor consists of two isolated cond

Question

Page Summary of relevant concepts: (A) A capacitor consists of two isolated conductors (plates) with equal and opposite charges +Q and -Q: the charge on the capacitor is simply referred to as "Q". (B) The charge Q is proportional to the potential difference V between the two plates: where the constant C is called the capacitance (C) Capacitance is measured in units of Farads: 1 F 1C/V (D) Capacitance depends only on the geometry of the capacitor (t.e. the shape of the plates, the distance between them, their relative orientation, etc.) and the "stuff (dielectrie) you put between the plates. (E) There are 3 principal capacitor geometries that you should become familiar with: e the parallel-plate capacitor, , the cylindrical capacitor, and e the spherical capacitor (F) Suppose a capacitor has capacitance C when the space between the plates is occupied by vacuum (or air). Then, the effect of placing a dielectric in this entire space is to ncrease the capacitance by a factor K. This is known as the dielectric constant of the material. (G) Capacitors are used to store energy; a capacitor C with a charge Q (or potential difference V between the plates) stores energy We may view this energy as being stored in the electric field that exists inside the capacitor. (H) Capacitors connected in series carry the same charge; the reciprocal of the equiv alent capacitance is the sun of the individual reciprocal capacitances: (I) Capacitors connected in parallel have the same potential difference across their plates; their equivalent eapacitance is simply the sum of the individual capacitances: Cry-G+G+G+

Explanation / Answer

C1=1uF, C2= 10uF

Q1) Capacitors are connected in series

1/Ceq=1/C1 + 1/C2

1/Ceq=1/1 +1/10 =10/10 +1/10

=11/10

Ceq=10/11(take reciporcal) =0.909 microF

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Now lets find the charge

Q=Ceq*V

=0.909*9

=8.181 uC

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Q2) Charge on C1

In series connection Charge remains same in all capacitors

ANS=8.181 uC

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Q3)Charge on C2

In series connection Charge remains same in all capacitors

Ans=8.181 uC

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Q4)in Series connection Potential difference varies

Potential difference in 1uF capacitor

V = Q/C1

=8.181/1

ANS=8.181 V

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Q5)in Series connection Potential difference varies

Potential difference in 10uF capacitor

V = Q/C2

=8.181/10

Ans= 0.8181 V

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