To calculate the flux, you first need to know the magnetic field at a distance r from the wire. This is given by:

B(r,t) = mu_{0} I(t)/(2 pi r)

The direction of the magnetic field is according to the right hand rule; if your thumb points in the direction of the current then your fingers point in the way the magnetic field points to. So for positive I, B points into the paper where you've drawn the loop.

The flux is given by the integral of B(r,t) over the surface of the loop. You need to define the sign of the flux by choosing a direction for the outward ...

Consider a loop of wire in a uniform magnetic field. The field is perpendicular to the plane of the loop, such that the magnetic field lines pass through the loop. We will examine the interactions of the loop with the B field and the resulting inducedEMF. Which of the following statements are true about this case?
(1) if t

A loop of wire is lying flat on a tabletop. A uniform magnetic field is directed vertically UPWARDS such that it is perpendicular to the tabletop (and the loop). Beyond the edge of the table, the magnetic field is zero. Imagine that you are looking DOWN on the loop from above. Which of the following statements are true about the

A circular loop of flexible iron wire has an initial circumference of 165.0 cm, but its circumference is decreasing at a constant rate of 12.0 cm/s due to a tangential pull on the wire. The loop is in a constant uniform magnetic field of magnitude 0.500 T, which is oriented perpendicular to the plane of the loop.
Find the in

Consider a rectangular loop of length l (parallel to x) width w (parallel to y) total resistance R, is being pulled at constant force F=fx. If at tiem t=0 it is aligned with the front edge at x=0, has velocity vx, and the magnetic field everywhere is
B= 0 x<0
B= BoZ x>0
solve and draw plots for the time dependence of:

Transcranial magnetic stimulation (TMS) is a noninvasive method for studying brain function, and possibly for treatment as well. In this technique, a conducting loop is held near a person's head. When the current in the loop is changed rapidly, the magnetic field it creates can change at a rate of {see attachment}. This rapidly

See the attached file.
A rectangular conducting loop of width w, height h, and resistance R is mounted vertically on a nonconducting cart (see attachment). The cart is placed on the inclined portion of a track and released from rest at position P1 at a height y above the horizontal portion of the track. It rolls with negligib

Two parallel loops of wire having the same common axis. The smaller loop of (raduis r ) and is above the larger loop (raduis R) by a distance X>>R. The magnetic field due to the counterclockwise current i in the larger loop is nearly uniform throughout the smaller loop. Suppose that x is increasing at a constant rate dx/dt = v.

Please help answer the following problems. Provide step by step calculations.
A toroidal solenoid has 550 turns, cross- sectional area 6.7 square cm, and a mean radius of 4.8 cm.
A) Calculate the coil's self-inductance.
B) If the current decreases uniformly from 5A to 2A in 3ms, calculate the self inducedemf in the co

A 95 turn square wire coil of area 0.040 m2 rotates about a vertical axis at 1730 rpm, as indicated in Figure P20.30 {attached}. The horizontal component of the Earth's magnetic field at the location of the loop is 2.0 10-5 T. Calculate the maximum emfinduced in the coil by the Earth's field. (answer in V)