(a) Find the equivalent capacitance of the combination. µF (b) Find the charge s

Question

(a) Find the equivalent capacitance of the combination.
µF


(b) Find the charge stored on the positively charged plate of eachcapacitor.
15.0 µF capacitor C 4.0 µF capacitor C 12.0 µF capacitor C

(c) Find the voltage across each capacitor.
15.0 µF capacitor V 4.0 µF capacitor V 12.0 µF capacitor
V
(d) Find the energy stored in each capacitor.
15.0 µF capacitor mJ 4.0 µF capacitor mJ 12.0 µF capacitor mJ

PLEASE PROVIDE NUMBERS FOR ALL THE ANSWERS PLEASE 15.0 µF capacitor C 4.0 µF capacitor C 12.0 µF capacitor C

Explanation / Answer

here given C1 = 4.0F ; C2 =15F ; C3 = 12F & V = 185V a) The equivalent of C1 & C2 isC' = C1C2/C1+C2                                                   = 4*15/4+15                                                   = 3.16F the equivalent of C'&C3 is C =C'+C3                                             = 3.16F +12F                                             = 15.16F b) The charge on the on the positively charged plate of 12.0µF capacitor is         q3 =C3V            = -------- The charge on the on the positively charged plate of 4.0µF capacitor is         q1 = C'V            = -------- The charge on the on the positively charged plate of 15.0µF capacitor is         q2 = C'V            = -------- c) the voltage across 12.0 µF capacitor is     V3 = V = 185V the voltage across 4.0 µF capacitor is     V1 = q1/C1          =--------- the voltage across 15.0 µF capacitor is     V2 = 185V - V1          =--------- d)      energy stored in 12Fcapacitor is      U3 =1/2*C3V32           =----------    energy stored in 4F capacitor is      U1= 1/2*C1V12          = ----------       energy stored in 15F capacitor is      U2= 1/2*C2V22          = ----------                                             = 3.16F +12F                                             = 15.16F b) The charge on the on the positively charged plate of 12.0µF capacitor is         q3 =C3V            = -------- The charge on the on the positively charged plate of 4.0µF capacitor is         q1 = C'V            = -------- The charge on the on the positively charged plate of 15.0µF capacitor is         q2 = C'V            = -------- c) the voltage across 12.0 µF capacitor is     V3 = V = 185V the voltage across 4.0 µF capacitor is     V1 = q1/C1          =--------- the voltage across 15.0 µF capacitor is     V2 = 185V - V1          =--------- d)      energy stored in 12Fcapacitor is      U3 =1/2*C3V32           =----------    energy stored in 4F capacitor is      U1= 1/2*C1V12          = ----------       energy stored in 15F capacitor is      U2= 1/2*C2V22          = ---------- The charge on the on the positively charged plate of 4.0µF capacitor is         q1 = C'V            = -------- The charge on the on the positively charged plate of 15.0µF capacitor is         q2 = C'V            = -------- c) the voltage across 12.0 µF capacitor is     V3 = V = 185V the voltage across 4.0 µF capacitor is     V1 = q1/C1          =--------- the voltage across 15.0 µF capacitor is     V2 = 185V - V1          =--------- d)      energy stored in 12Fcapacitor is      U3 =1/2*C3V32           =----------    energy stored in 4F capacitor is      U1= 1/2*C1V12          = ----------       energy stored in 15F capacitor is      U2= 1/2*C2V22          = ---------- The charge on the on the positively charged plate of 15.0µF capacitor is         q2 = C'V            = -------- c) the voltage across 12.0 µF capacitor is     V3 = V = 185V the voltage across 4.0 µF capacitor is     V1 = q1/C1          =--------- the voltage across 15.0 µF capacitor is     V2 = 185V - V1          =--------- d)      energy stored in 12Fcapacitor is      U3 =1/2*C3V32           =----------    energy stored in 4F capacitor is      U1= 1/2*C1V12          = ----------       energy stored in 15F capacitor is      U2= 1/2*C2V22          = ----------          =--------- the voltage across 15.0 µF capacitor is     V2 = 185V - V1          =--------- d)      energy stored in 12Fcapacitor is      U3 =1/2*C3V32           =----------    energy stored in 4F capacitor is      U1= 1/2*C1V12          = ----------       energy stored in 15F capacitor is      U2= 1/2*C2V22          = ----------     V2 = 185V - V1          =--------- d)      energy stored in 12Fcapacitor is      U3 =1/2*C3V32           =----------    energy stored in 4F capacitor is      U1= 1/2*C1V12          = ----------       energy stored in 15F capacitor is      U2= 1/2*C2V22          = ----------          =--------- d)      energy stored in 12Fcapacitor is      U3 =1/2*C3V32           =----------    energy stored in 4F capacitor is      U1= 1/2*C1V12          = ----------       energy stored in 15F capacitor is      U2= 1/2*C2V22          = ----------           =----------    energy stored in 4F capacitor is      U1= 1/2*C1V12          = ----------       energy stored in 15F capacitor is      U2= 1/2*C2V22          = ----------      U1= 1/2*C1V12          = ----------       energy stored in 15F capacitor is      U2= 1/2*C2V22          = ----------          = ----------       energy stored in 15F capacitor is      U2= 1/2*C2V22          = ----------      U2= 1/2*C2V22          = ----------          = ----------

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