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Examples: Capacitance

<^< Energy Stored in a Capacitor | Course Index | The Unit of Inductance >^>(:nl:)

>>frame round<< Example 1:

A voltage is changing at a uniform rate from 10V to 20V in a time of 1s.

If this voltage is applied to a capacitor of 100µF, determine the current that will flow. >><<

>>id=example1 class=question margin=10px frame round<< Now the current flowing will be given by:

I = C x (rate of change of voltage), thus:

=

= 100 x 10'^-6^' x 10 = 1 x 10'^-3^' = 1mA >><<

>>frame round<< Example 2:

A potential difference of 150V appears across the terminal of a 2µF capacitor. Determine the amount of charge stored. >><<

>>id=example2 class=question margin=10px frame round<< Q = C V = 2 x 10'^-6^' x 150 = 300µC >><<

>>frame round<< Example 3:

Determine the energy stored in a 100µF capacitor when a potential difference of 20V is applied to it. >><<

>>id=example3 class=question margin=10px frame round<< Using W = ½ C V'^2^' gives:

W = ½ x 100 x 10'^-6^' x (20'^2^')

-> = 50 x 10'^-6^' x 400

-> = 20 x 10'^-3^'

-> = 20mJ >><<(:nl:)(:table style="clear:both":)