An LC-circuit like the one shown in the figure contains an 75.0-mH inductor and a 20-μF capacitor that initially carries a 200-μC charge. The switch is thrown closed at t=0 seconds. a. Find the angular frequency (in rad/sec) of the resulting oscillation. A. 258 rad/sec B. 816 rad/sec C. 133 rad/sec D. 413 rad/sec b. Find the frequency (in Hertz) of the resulting oscillation. A. 41.1 Hz B. 130 Hz C. 21.2 Hz D. 65.8 Hz c. What is the formula for the charge (in Coulombs) on the capacitor, Q(t), as a function of time. A. Q(t) = 7.50x10^-6 cos(21.2t) B. Q(t) = 413x10^-6 cos(130t) C. Q(t) = 200x10^-6 cos(816t) D. Q(t) = 133x10^-6 cos(39.8t)

An LC-circuit like the one shown in the figure contains an 75.0-mH inductor and a 20-μF capacitor that initially carries a 200-μC charge. The switch is thrown closed at t=0 seconds. a. Find the angular frequency (in rad/sec) of the resulting oscillation. A. 258 rad/sec B. 816 rad/sec C. 133 rad/sec D. 413 rad/sec b. Find the frequency (in Hertz) of the resulting oscillation. A. 41.1 Hz B. 130 Hz C. 21.2 Hz D. 65.8 Hz c. What is the formula for the charge (in Coulombs) on the capacitor, Q(t), as a function of time. A. Q(t) = 7.50x10^-6 cos(21.2t) B. Q(t) = 413x10^-6 cos(130t) C. Q(t) = 200x10^-6 cos(816t) D. Q(t) = 133x10^-6 cos(39.8t)

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Question

An LC-circuit like the one shown in the figure contains an
75.0-mH inductor and a 20-μF capacitor that initially carries a 200-μC
charge. The switch is thrown closed at t=0 seconds.

a. Find the angular frequency (in rad/sec) of the resulting
oscillation.
A. 258 rad/sec B. 816 rad/sec C. 133 rad/sec D. 413 rad/sec

b. Find the frequency (in Hertz) of the resulting oscillation.
A. 41.1 Hz B. 130 Hz C. 21.2 Hz D. 65.8 Hz

c. What is the formula for the charge (in Coulombs) on the capacitor, Q(t), as a function of time.
A. Q(t) = 7.50x10^-6 cos(21.2t)

B. Q(t) = 413x10^-6 cos(130t)

C. Q(t) = 200x10^-6 cos(816t)

D. Q(t) = 133x10^-6 cos(39.8t)

Please answer all the parts c). show all the work neatly and every step in detail. Thanks!

Answers for part a and b are given in bold.

Initial
charge
Qo
+
с
++
++
Switch closes at t = 0
L

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