Please answer all parts SHOWING ALL STEPS CLEARLY EXPLAINING THE CONCEPTS IN SIMPLE ENGLISH!!

Also, please make sure all solutions are 100% correct. DO NOT USE CALCULUS (Integration, Cross product, etc.) TO SOLVE ANY OF THESE QUESTIONS.

THE CORRECT ANSWER FOR ALL OF THE QUESTIONS IS OPTION NUMBER 1 SO PLEASE SHOW ALL STEPS AND EXPLAIN THE PROCESS CLEARLY TO GET THAT ANSWER. Thank you very much!

A 10 turn circular loop with radius 0.01 m and resistance 52 is placed in the center of a solenoid. The solenoid has a length 0.8 m, a radius of 0.1 m, and solenoid 1000 turns. The current in the solenoid is ramped up uniformly from 2 A to 22 A in 1 s. What is the average current (in MA ) in the loop during this time? loop (1 19.7 (2) 4.9 (3) 9.9 (4) 29.7 (5 7.5Consider the LR circuit shown in the figure. Initially the inductor has no magnetic stored energy and the switch is closed at t = 0. Immediately after the switch is closed the current through the 20 resistor is Ishort and a long time after the switch is closed (i.e., steady state) the current is /long. What is 3 60 L the ratio Ilong/ Ishort? (1 4 (2 3 (3 5 (4) 1/3 (5) 1/4Consider the LR circuit shown in the figure which consists of an 8 Volt emf, an inductor, L = 4 H, and two resistors. After the switch is closed, what is the stored energy in the inductor (in J) at the instant the current through the 20 L = 4H resistor is equal to 2 A? 8 V R1 = 20 R,= 40 (1) 18.0 (2) 4.5 (3) 40.5 (4) 72.0 (5 2.0A 100 W lightbulb is designed to be connected to an AC voltage of 120 V (rms). What is the resistance (in 2) of the lightbulb filament at normal operating conditions? (1) 144 (2) 240 (3) 180 (4) 120 (5) 90Consider an oscillating LC circuit consisting of a capacitor with C = 1 mF, no resistance, and an unknown inductor L as shown in the gure. At a certain Q I moment of time the charge on the capacitor is 4 m0 and the current is 2 A. C If the maximum charge on the capacitor during the oscillations is 6 m0, what L is the inductance (in mH) of the unknown inductor L? (1) 5 (2) 12 (3) 32 (4) 28 (5) 40 In the previous problem, how much magnetic energy (in mJ) is in the inductor when the electric energy in the capacitor is 6 rm]? (1) 12 (2) 24 (3) 54 (4) 6 (5) 8 Consider a resistor R and a capacitor C connected with an emf with oscillating voltage given by c(t) = (max sin(wt + ) as shown in the figure. If R = 20, I(t) C = 0.01 F, Emax = 12 V, and w = 28.868 rad /s, what is the maximum current in the circuit (in A)? R E (t) (1 3 (2) 2 (3) 4 (4 6 (5 8 What is the average power dissipated in the resistor (in W) in the previous problem? (1) 9 (2) 4 (3) 16 (4 8 (5 18