Two infinite, flat, parallel, and perfectly conducting metal plates lie in the planes . the space between the plates acts as a cavity oscillator in which 2aythe electric field is given by: , where is a unit vector in 0(/eecosyasintk)k)the direction of z-axis. (a)assuming that is in the x-direction, apply ampere’s to bobtain the magnetic field everywhere inside the cavity region.(b) use ampere’s law to compute the current per meter on the metal surface, and compare with the displacement current per meter between the plates.

The base of a 50-meter tower is at the origin; the base of a 50-meter tree is at (0, 50, 0). the ground is flat and the z-axis points upward. the following parametric equations describe the motion of six projectiles each launched at time t = 0 in seconds. (i) r (t) = (50 + t2)k (ii) r (t) = 2t2 j + 2t2k (iii) r (t) = 50 i + 50 j + (50 − t2)k (iv) r (t) = 2t j + (50 − t2)k (v) r (t) = (50 − 2t) i + 2t j + (50 − t)k (vi) r (t) = t i + t j + tk (a) which projectile is launched from the top of the tower and goes downward? at time t = , the projectile hits the ground at point (x, y, z) = . (b) which projectile hits the top of the tree?