justinashleyshorter
justinashleyshorter justinashleyshorter
  • 08-03-2020
  • Physics
contestada

A circuit contains a 20 pF capacitor and a 60 pF capacitor connected in series. What's the total capacitance of the circuit?
A. 80 uF
B. 12 pF
C. 30 HF
D. 15 pF

Respuesta :

iwillanswer iwillanswer
  • 15-03-2020

The total capacitance of circuit is 15 pF

Solution:

The total capacitance when two capacitors are connected in series is:

[tex]C_{total} = \frac{C_1 \times C_2}{C_1 + C_2}[/tex]

From given,

A circuit contains a 20 pF capacitor and a 60 pF capacitor connected in series

[tex]C_1 = 20\ pF\\\\C_2 = 60\ pF[/tex]

Substituting the values we get,

[tex]C_{total } = \frac{ 20 \times 60}{20 + 60}\\\\C_{total } = \frac{ 1200}{80}\\\\C_{total } = 15[/tex]

Thus the total capacitance of circuit is 15 pF

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