Please Show Work 1. A circuit consists of three unequal capacitors C1, C2, and C

Question

Please Show Work

1. A circuit consists of three unequal capacitors C1, C2, and C3 which are connected to a battery of voltage V. The capacitance of Ca Is twice that of C1. The capacitance of C3 is three times that of C1. The capacitors obtain charges Q1, Q2, and Q3. Compare Q1, Q2, and Q3. 2. Two Identical parallel plate capacitors are given the me charge Q by connecting them to Identical batteries. C2 is then filled with a dielectric while both capacitors remain connected to the batteries. Compare the charges of the two capacitors. 3. What is the voltage, V3, across R3? a. 1.64 Volts b. 2.64 Volts c. 3.64 Volts d. 4.36 Volts e. 5.36 Volts 4. Positive values for currents I1, I2, I3 and I4 indicate current flow in the direction shown in the figure. Which one of the following equations is not correct?

Explanation / Answer

1) e) Q1 < Q2 = Q3

because, C23 = C2*C3/(C2+C3)

= 2*C1*3*C1/(2*C1+3*C1)

= 1.2*C1

here C1 and C23 are pralellel

we know, Q = C*V

so, charge on C1 will be less comared to charge on C2 and C3.

and charge C2 = charge on C3, beacsue they are connected inseries.

2) Q1 < Q2

we know, Q = C*V

in both cases V is same, but C2 > C1.

so Q2 > Q1

3) a) 1.64 volts

Rnet = R1 + R3*(R2+R4)/(R2+R3+R4)

= 10 + 5*(5+10)/(5+5+10)

= 13.75 ohms

I1 = V/Rnet

= 6/13.75

= 0.436 A

V3 = V - I1*R1

= 6 - 0.436*10

= 1.64 volts

4) c)

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