I have provided the answers for first six parts: Kindly solve for part g) h) and i) Q) 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) d. Write the formula for the current (in Amps) on the capacitor, I(t), as a function of time. A. I(t) = -75.0 sin (21.2 t) B. I(t) = -0.286 sin (816 t) C. I(t) = -0.163 sin ( 816t) D. I(t) = -2.33 sin (21.2 t) e. What is the maximum current this circuit will experience (Hint: look at your formula from Part d.)? A. Imax= 21.2 Amp B. Imax= 0.163 Amp C. Imax= 75.0 Amp D. Imax= 816 Amp f. At t = 1ms, find the charge (in μC) on the capacitor (Be sure your calculator is in radian mode). A. Q = 200 μC B. Q = 45.2 μC C. Q = 56.3 μC D. Q = 137 μC g. At t = 1ms, find the magnitude of the current in the circuit (Be sure your calculator is in radian mode). A. I = 0.119 Amp B. I = 0.922 Amp C. I = 0.526 Amp D. I = 0.152 Amp h. What is the total energy in the circuit at t=1 ms? A. 1.50 mJ B. 4.55 mJ C. 8.11 mJ D. 1.23 mJ What is the voltage across the inductor at t=1 ms? A. 0 V B. 10 V C. 5.31 V D. 7.35V Please answer all the 3 parts g) h) and i). show all the work and every step. Thanks!!!
I have provided the answers for first six parts: Kindly solve for part g) h) and i)
Q) 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)
d. Write the formula for the current (in Amps) on the capacitor, I(t), as a function of time.
A. I(t) = -75.0 sin (21.2 t)
B. I(t) = -0.286 sin (816 t)
C. I(t) = -0.163 sin ( 816t)
D. I(t) = -2.33 sin (21.2 t)
e. What is the maximum current this circuit will experience (Hint: look at your formula from Part d.)?
A. Imax= 21.2 Amp B. Imax= 0.163 Amp C. Imax= 75.0 Amp
D. Imax= 816 Amp
f. At t = 1ms, find the charge (in μC) on the capacitor (Be sure your calculator is in radian mode).
A. Q = 200 μC B. Q = 45.2 μC C. Q = 56.3 μC D. Q = 137 μC
g. At t = 1ms, find the magnitude of the current in the circuit (Be sure your calculator is in radian mode).
A. I = 0.119 Amp B. I = 0.922 Amp C. I = 0.526 Amp D. I = 0.152 Amp
h. What is the total energy in the circuit at t=1 ms?
A. 1.50 mJ B. 4.55 mJ C. 8.11 mJ D. 1.23 mJ
What is the voltage across the inductor at t=1 ms?
A. 0 V B. 10 V C. 5.31 V D. 7.35V
Please answer all the 3 parts g) h) and i). show all the work and every step. Thanks!!!
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