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Calculate the capacitance of a system that stores 1.0 10-10 C of charge at 100.0 V

A) 1.0 x 10^12
B) 1.0 x 10^8
C) 1.0 x 10^-12
D) 1.0 x 10^-8

Respuesta :

egenriether
Capacitance is charge/volts ratio.  So C=(1.0e-10C)/100V = 1e-12F.  Or 1pF  where pF is picoFarad

Answer : The charge stored in the system is [tex]1\times 10^{-12}\ C[/tex]

Explanation :

It is given that,

Stored charge, [tex]Q=1\times 10^{-10}\ C[/tex]

Voltage, [tex]V=100\ V[/tex]

We know that the capacitance of a system is given by :

[tex]C=\dfrac{Q}{V}[/tex]

[tex]C=\dfrac{1\times 10^{-10}\ C}{100\ V}[/tex]  

[tex]C=1\times 10^{-12}\ C[/tex]

So, the correct option is (C).

Hence, it is the required solution.

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