Switch closes at 0 An LC-circuit like the one shown in the figure contains an 60.0-mH inductor and a 30-OF capacitor that was fully charged using a 10V battery before being put in the circuit. The...

Please show detailed solutions for part 7, 8 and 9. Answers all other parts are highlighted and given. Question is in the image attached with it. Thanks!

Extracted text: Switch closes at 0 An LC-circuit like the one shown in the figure contains an 60.0-mH inductor and a 30-OF capacitor that was fully charged using a 10V battery before being put in the circuit. The switch is thrown closed at t=0 seconds. Initial charge 0. 1. Find the angular frequency (in rad'sec) of the resulting oscillation. А. 350 гad/sec B. 816 rad/sec с. 745 гаd sec D. 213 rad'sec 2. Find the frequency (in Hertz) of the resulting oscillation. A. 119 Hz B. 220 Hz C. 23.9 Hz D. 78.8 Hz 3. What is the formula for the charge (in Coulombs) on the capacitor, Qt), as a function of time (HINT: You will need to find the initial charge on the capacitor) A. Q() D 300.0x1006 cos(745t) B. Q() O 413x1006 cos(2201) c. Q) D 200x10" cos(816?) D. O() 0133x10" cos(39.81) 4. Write the formula for the current (in Amps) on the capacitor, I(t), as a function of time (HINT: Remember, I(t) - da/dt A. I) = -75.0sin(2201) C. It) = - 0.163sin(8167) B. I) = - 0.224sin(745t) D. (f) = - 2.33sin(21.2f) 5. What is the maximum current this circuit will experience (Hint: look at your fomula from Part d.)? A. I= 0.224 A B.I=0.163 A C.I.= 21.2 A D. I= 816 A 6. Att= 1ms, find the charge (in y) on the capacitor (Be sure your calculator is in radian mode). A.Q= 220 uS B. Q= 35.6 uS C.Q = 87.2 uS D. Q= 137 uS 7. Att= 1ms, find the magnitude of the current in the circuit (Be sure your calculator is in radian mode). A.I= 0.119 A B.I= 0.922 A C.I= 0.526 A D.I=0.152 A 8. What is the total energy in the circuit at t=l gs? A. 1.50 ml B. 4.55 mI. C. 8.11 ml D. 1.23 ml 9. What is the voltage across the incuctor at t=l mg? A. OV B. 10 V C. 5.31 V D. 7.35V