it says: Consider teh following combonation of capacitors with capacitance 2.00

Question

it says:

Consider teh following combonation of capacitors with capacitance 2.00 micro Farads for each capacitor

a) calculate the equivalent capacitance of the above network

b) if the equivalent capacitor is charged with a 5.0V battery, calculate the total charge and the electrical energy stored in the capacitor

Consider the following combination of capacitors with capacitance 2.00 micro Farads for each capacitor Calculate the equivalent capacitance of the above network. If the equivalent capacitor is charged with a 5.0 V battery, Calculate the total charge and the electrical energy stored in the capacitor

Explanation / Answer

capaciatcne in series is given by C' = C1C2/(C1+C2)

Capaciatcnein parallel is given by C = C1+C2

so here

C3 and C4 are is parallel , C' = 2+2 = 4uF

this 4 uF is in parallel with 2uF so C'' = 2+4 = 6uF

finnaly 6uF is in series with c1,

s0 Cnet = 2*6/(2+6) = 1.5 uF

b. apply charge Q = CV

Q = 1.5 * 5 = 7.5 uC

total eenrgy U = 0.5 QV

U = 0.5 * 7.5uC * 5

U = 18.75 uJ or 1.875 *10^-5 J

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