A circuit consisting of 4 capacitors: C1=6 ?F, C2=2 ?F, C3=4 ?F, C4=3 ?F is conn

Question

A circuit consisting of 4 capacitors: C1=6 ?F, C2=2 ?F, C3=4 ?F, C4=3 ?F is connected to the 6 V battery.

a) Find the equivalent capacitance of the circuit Ceq .

b) Find the charge on capacitor 1.

c) Find voltage on capacitor 2.

d) Find energy stored in capacitor 3.

uno.mrooms3.net A circuit consisting of 4 capacitors: C1-6 F, C2-2 HF, c,-4 HF, c,-3 F is connected to the 6 V battery. C2 C3 a) Find the equivalent capacitance of the circuit C b) Find the charge on capacitor 1. c Find voltage on capacitor 2. d) Find energy stored in capacitor 3. eq 6V 1

Explanation / Answer

ANSWER

Part a)

Capacitors C2 and C3 are in parallel then, their equivalen C23 is,

C23 = C2 + C3 = 2 F + 4 F = 6 F

Now, capacitors C23 and C1 are in series then, their equivalent C123 is,

C123 = ( C1 * C23 ) / ( C1 + C23 ) = ( 6 F * 6 F ) / ( 6 F + 6 F ) = 3 F

Finally, capacitors C123 and C4 are in parallel then, their equivalent is the equivalent capacitance of the circuit,

Ceq = C123 + C4 = 3 F + 3 F = 6 F

Ceq = 6 F   ANS.

Part b)

The charge stored by C123 is the charge stored by C1,

Q123 = C123 = ( 3 F ) ( 6 v ) = 18 C

Then,

Q1 = Q23 =Q123 = 18 C   ANS.

Part c)

The voltage on capacitor C23 is the voltage on capacitor C2 , then,

V23 = Q23 / C23 = ( 18 C ) / ( 6 F ) = 3 v

Then,

V2 = V3 = V23 = 3 v   ANS.

Part d)

The energy stored by the capacitor C3 is,

U3 = ( C3 V3^{2} ) / 2

U3 = ( 4 F * ( 3 v )^{2} ) / 2 = 18 J

U3 = 18 J   ANS.

Regards!!!

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