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B: 3 capacitors in series C1.C2rC B1. Draw the circuit diagram for these 3 capac

ID: 1872480 • Letter: B

Question

B: 3 capacitors in series C1.C2rC B1. Draw the circuit diagram for these 3 capacitors connected to a single 9V battery as the source of potential difference, AV. Draw a second circuit with just one equivalent capacitor connected to the battery. Be sure to clearly label all capacitors and the battery (using symbols, not capacitance values or voltage values) C2 B2. What is the potential difference across each capacitor, c,AVC2,AVC3, in terms of Q and C? B3. What is the charge on each capacitor Qi, Q2, 23?, B4. Calculate the total energy stored in the entire combination of capacitors.

Explanation / Answer

in the equivalent capacitor, only one capacitor will be connected to the voltage source, let this capacitor be Ceq, then value of Ceq is:

(1/Ceq) = (1/C1) + (1/C2) + (1/C3)

B2) For capacitor, V=Q/C

VC1 = Q/C1

VC2 = Q/C2

VC3 = Q/C3

B3) since they are connected in series, charge on all of them will be equal to Q

B4) Energy stored in a capacitor, e= Q2/2C

Total energy stored here will be,

E=Q2/2C1 + Q2/2C2 + Q2/2C3