A circular wire loop of radius LaTeX: RR lies in the xy-plane with the z-axis running through its center. There is initially no magnetic field present. At LaTeX: t=0t = 0 a magnetic field given by LaTeX: \vec{B}=Ce^t\hat{x}+Dt^2\hat{z}B → = C e t x ^ + D t 2 z ^ (where LaTeX: CC and LaTeX: DD are constants) is turned on. Note that this means that the field magnitude only depends on time, and that the field initially points along LaTeX: \hat{x}x ^. What is the magnitude of the emf induced in the current loop?

What’s #16 asking me and how do i solve it?

Aparticle's position is given by x = 3.00 - 9.00t + 3t2, in which x is in meters and t is in seconds. (a) what is its velocity at t = 1 s? (b) is it moving in the positive or negative direction of x just then? (c) what is its speed just then? (d) is the speed increasing or decreasing just then? (try answering the next two questions without further calculation.) (e) is there ever an instant when the velocity is zero? if so, give the time t; if not, answer "0". (f) is there a time after t = 3 s when the particle is moving in the negative direction of x? if so, give the time t; if not, answer "0".

Point charges q1=+2.00μc and q2=−2.00μc are placed at adjacent corners of a square for which the length of each side is 1.50 cm . point a is at the center of the square, and point b is at the empty corner closest to q2. take the electric potential to be zero at a distance far from both charges. part a what is the electric potential at point a due to q1 and q2? express your answer with the appropriate units.