For the circuit on the right with two capacitors of dif- ferent capacitance in s

Question

For the circuit on the right with two capacitors of dif- ferent capacitance in series, indicate whether the state- ments below are TRUE or FALSE, and for each false statement, write a correct one. 3. C. Both capacitors have the same amount of charge on their plates. a. b. The voltages across the capacitors are the same. c. The sum of the voltages on the two capacitors equals the voltage oft battery 4. Find the equivalent capacitance of each of the following combinations capacitors. (All capacitances are in p.F.) 10 a. 20 30 30 C. 20 15 30_ b. 20 30 40 15

Explanation / Answer

3)

a) as the capacitors are in series

for series capacitors , the charge on both the capacitors is same

hence , this is TRUE

b)

as Q = C * V

for the same charge

V = Q/C

as Q is same but C is different

the voltage V on the capacitors will be different

This is FALSE

c)

Using KVL

Vbattery - V1 - V2 = 0

Vbattery = V1 + V2

hence , this is TRUE

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