A 30-μF capacitor is charged to 80 V and then connected across an initially uncharged capacitor of unknown capacitance C. If the final potential difference across the 30-μF capacitor is 20 V, determine C.

Respuesta :

Answer:

90 μF

Explanation:

C' = Capacitance of charged capacitor = 30 x 10⁻⁶ F

[tex]V_{initial}[/tex] = initial potential difference across the plates = 80 V

[tex]V_{finall}[/tex] = final potential difference across the plates = 20 V

Q = Charge stored by unknown capacitance

Charge stored by unknown capacitance is given as

Q = C' ([tex]V_{initial}[/tex] - [tex]V_{finall}[/tex])

Q = (30 x 10⁻⁶) (80 - 20)

Q = 1.8 x 10⁻³ C

C = Capacitance of unknown capacitor

V = Potential difference across the plates of unknown capacitor = 20

Charge stored by unknown capacitor is given as

Q = CV

1.8 x 10⁻³ = C (20)

C = 90 x 10⁻⁶ F

C = 90 μF