Two capacitors, C 1 = 4.00 µF and C 2 = 9.0 µF, are connected in parallel, and t

Question

Two capacitors, C1 = 4.00 µF and C2 = 9.0 µF, are connected in parallel, and the resulting combination is connected to a 9.00-V battery.

7" -/10 points My Notes Ask Your Teacher + Two capacitors, C1 = 4.00 ?F and C2 9.0 are connected in parallel, and the resulting combination is connected to a 9.00-V battery (a) Find the equivalent capacitance of the combination (b) Find the potential difference across each capacitor Vy= (c) Find the charge stored on each capacitor. Q1 = Need Help? ReaditWatch t

Explanation / Answer

a)

C1 = 4 uF

C2 = 9 uF

V = 9 V

The resultant capacitance is

C = C1 + C2

C = 4 uF + 9 uF

C = 13 uF

b)

When the combination on is connected with 9V the potential across each capacitor should be 9V only since in parallel they are maintained at same

V1 = V2 = 9V

c)

The charge on C1 is

Q1 = C1V

Q1 = 4 x 10^-9 F x 9V

Q1 = 36 uC

Charge on C2 is

Q2 = C2V

Q2 = 9 x 10^-9 x 9

Q2 = 81 uC

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