How do I solve this?

1.

Ring 1 has radius a and sits at position x = 0. The ring is centered on the x axis, oriented with its plane perpendicular to the axis. A current In flows through ring 1, producing a magnetic field that, in the ring's center, points along the +x direction. Ring 2 has radius b > 0. (b) Explicitly compute 12(t). For this calculation assume that the radius b is suffi- ciently small that the magnetic field through ring 2 can be approximated by the value at its center. Also, it's okay to simply quote the relevant magnetic field produced by ring 1 from your textbook, Chapter 30. Plot /2(t) versus time. Your plot should reflect all of the qualitative features of your calculation. (c) Sketch the Joule heating occurring in ring 2 as a function of time. How would this graph change if ring 2 was replaced by another which had twice the electrical resistance?(d) A force must be applied to ring 2 by some external agent in order to maintain a constant speed 1; for the ring. Dednce the direction of this force when ring 2 is at a position x U. 42. A series RLC circuit has components with the follow- W ing values: L = 20.0 mH, C = 100 nF, R = 20.0 0, and AV max = 100 V, with Av = AV. max sin wt. Find (a) the resonant frequency of the circuit, (b) the amplitude of the current at the resonant frequency, (c) the Q of the circuit, and (d) the amplitude of the voltage across the inductor at resonance.The primary coil of a transformer has N1 = 350 turns, .and the secondary coil has N2 = 2 000 turns. If the input Voltage across the primary coil is Av = 170 cos ant, where Av is in volts and t is in seconds, what rms volt- age is developed across the secondary coil? 77. The resistor in Figure P33.77 represents the midrange speaker in a three-speaker system. Assume its resis- tance to be constant at 8.00 0. The source represents an audio amplifier producing signals of uniform ampli- tude AV= 10.0 V at all audio frequencies. The induc- tor and capacitor are to function as a band-pass filter with AV/AV = , at 200 Hz and at 4.00 X 103 Hz. Determine the required values of (a) Land (b) C. Find (c) the maximum value of the ratio AVout/AVin; (d) the frequency fo at which the ratio has its maximum value; (e) the phase shift between Av and Avoy at 200 Hz, at fo, and at 4.00 X 103 Hz; and (f) the average power transferred to the speaker at 200 Hz, at fo, and at L Avin RZ AU out Figure P33.77\f