Calculate the capacitance of a system that stores 9.4 x 10-10 C of charge at
Q
50.0 V. Use C=
AV
O A. 1.9 x 10-11 F
OB. 4.7 x 10-8 F
O C. 5.3 x 1010 F
O D. 2.1 x 107 F

Respuesta :

Answer:

A. [tex]1.88\times 10^{-11}\,F[/tex].

Explanation:

By definition of Electric Capacitance, the capacitance of the system ([tex]C[/tex]), in farads, is described by the following formula:

[tex]C = \frac{q}{V}[/tex] (1)

Where:

[tex]q[/tex] - Electric charge, in coulombs.

[tex]V[/tex] - Voltage, in volts.

If we know that [tex]q = 9.4\times 10^{-10}\,C[/tex] and [tex]V = 50\,V[/tex], then the capacitance of the system is:

[tex]C = \frac{9.4\times 10^{-10}\,C}{50\,V}[/tex]

[tex]C = 1.88\times 10^{-11}\,F[/tex]

The correct answer is A.