An LC circuit like that in the figure below consists of a 3.30-H inductor and an

Question

An LC circuit like that in the figure below consists of a 3.30-H inductor and an 838-pF capacitor that initially carries a 111-C charge. The switch is open for

t < 0 and is then thrown closed at t = 0. Compute the following quantities at t = 5.00 ms.

(a) the energy stored in the capacitor
  J

(b) the total energy in the circuit
J

(c) the energy stored in the inductor
J

An LC circuit like that in the figure balaw consists of a 3.30 H inductor and an 838-PF capacitor that initially carries a 111-paC charge. The witch is open far t a and is than thrown clased at o. Compute tha following quantities at t- 5.Da ms. (a) the energy stored the capacito Frter a numher dirrers from the correct answer Ly more than 10%. Double check your calculations. J by the total energy in the circu (c) the energy stored i

Explanation / Answer

a)

here

energy stored in the capacitor is

Ucap = Q^2 / (2 * C)

Ucap = (111 * 10^-6)^2 / (2 * 838 * 10^-12)

Ucap = 7.35 J

b)

current in the circuit is

i = Q / t

i = (111 * 10^-6 ) / (5 * 10^-3)

i = 22.2 * 10^-3 amp

energy stored in the inductor is

Uind = 0.5 * L * I^2

Uind = 0.5 * 3.3 * (22.2 * 10^-3)^2

Uind = 81.3 * 10^-5 J

c)

total energy stored in the circuit is

E = 7.35 + 0.000813

E = 7.350813 J

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