Dane:
t = 1/3 h
W = 30 J
C = 2000 mF = 0,002 F
Szukane:
I = ?
[tex]W = \frac{1}{2}C*U^{2} \\2W = C*U^{2}\\U^{2} = \frac{2W}{C} \\U = \sqrt{\frac{2W}{C}} \\U = \sqrt{\frac{2*30}{0,002}}\\U = \sqrt{30000}\\U = 100\sqrt{3} [V][/tex]
[tex]C = \frac{Q}{U} \\Q = C * U\\Q = 0,002 * 100\sqrt{3} \\Q = 0,2\sqrt{3} [C][/tex]
[tex]I = \frac{Q}{t} \\\ I = 0,2\sqrt{3} : \frac{1}{3} \\I = 0,6\sqrt{3} [A]\\I = 1,04 [A][/tex]
Odp : Natężenie prądu wynosiło 1 [A].