A sample of 1H in the equilibrium condition in a static magnetic field BO is excited by a short circularly polarized RF pulse. The RF pulse is a magnetic field in the transverse plane B₁(t) = B₁(t)e-12vọt G₂ where VO is the Larmor frequency of the sample. The envelope of the RF pulse is a triangle function with parameter T: (1-7), 0≤t≤2T otherwise B₁ (t)= = { 0, (a) Find the tip angle of the magnetization vector as a function of t for 0 ≤ t ≤ 2T. (b) What is the value of T to make B1(t) a π/2 pulse?

A certain guided wave travels through air with the following magnetic field H=10+ y cos(157x) sin[(67×10° rad/s)t - Bz] [A/m] (0.3) Find the associated and B. There are a couple ways to solve this problem. Note: this is NOT a plane wave, and be sure to understand why. Nevertheless it IS a valid solution of Maxwell's equations. You will see how guided waves like this come about

A capacitor with parallel circular plates of radius R = 1.40 cm is discharging via a current of 26.0 A. Consider a loop of radius R/3 that is centered on the central axis between the plates. (a) How much displacement current is encircled by the loop? The maximum induced magnetic field has a magnitude of 16.5 mT. At what radius (b) inside and (c) outside the capacitor gap is the magnitude of the induced magnetic field 4.30 mT? (a) Number i (b) Number i (c) Number i Units Units Units

A source of electromagnetic waves radiates with power P uniformly in all directions. At some distance d from the source, the magnetic field amplitude of the waves is B0. What will the amplitude of the magnetic field be a distance d/4 away from the source, in terms of B0, P, d, e0, µ0, and/or c? Justify your answer. (see image)

Suppose that a parallel-plate capacitor has circular plates with radius R = 43 mm and a plate separation of 5.9 mm. Suppose also that a sinusoidal potential difference with a maximum value of 210 V and a frequency of 84 Hz is applied across the plates; that is,V = (210 V) sin[2π(84 Hz)t].Find Bmax(R), the maximum value of the induced magnetic field that occurs at r = R.