X R The figure above shows two parallel loops of wire having a common axis. The smaller loop (radius r) is above the larger loop (radius R) by a distance x >> R. Consequently, the magnetic field due to the counterclockwise current i in the larger loop is nearly constant throughout the smaller loop. Suppose that x is increasing at the constant rate dx/dt = V. NOTE: Express your answers to parts (a) and (b) in terms of the given variables. (a) Find an expression for the magnetic flux through the area of the smaller loop as a function of x. ÞB(x) = (b) Determine the magnitude of the induced emf in the smaller loop. E = (c) Determine the direction of the current in the small loop. Choose one ▾

A rectangular wire loop of height h, width w, and net electrical resistance R lies in the x-y plane. As shown in the figure below, the entire region x < 0 of space is occupied by a constant, uniform magnetic field which points in the –z direction (into the page). In order to determine the magnitude of this field, a student pulls the wire loop out of the magnetic field region at a constant velocity v in the +x-direction, and measures the current I induced in the loop during this process. I = 17 μAR = 35 ohmsh = 3 cm w = 8 cmv = 2 cm/sec a) What is the direction of the current induced in the wire loop? b)What is the magnitude B of the magnetic field?

The magnetic field B at all points within the colored circle of the figure (Figure 1)has an initial magnitude of 0.700 T. (The circle could represent approximately the space inside a long, thin solenoid.) The magnetic field is directed into the plane of the diagram and is decreasing at the rate of 0.0300 T/s. Figure X X X X X B X /b X 1 of 1 10.0 cm Part C What is the current in the ring if its resistance is 4.00 $? ΑΣΦ I = Submit Part D X Incorrect; Try Again; 5 attempts remaining What is the emf between points a and b on the ring? ε = Previous Answers Request Answer Submit Part E ΠΙΑΣΦ Request Answer ? IVE ΑΣΦ ? A If the ring is cut at some point and the ends are separated slightly, what will be the emf between the ends? ? V

do larger objects fall faster? do heavier objects fall faster?

The figure shows a rectangular loop (of dimensions 52 cm by 88 cm) in the presence of a uniform magnetic field (B=0.56 T). Initially the plane of the rectangle is perpendicular to the field direction (see the middle part of the figure-- side view #1). What is the magnitude of the magnetic flux through the loop? Tm² Next, the loop is rotated through angle = 32°, as shown in side view #2. What is the magnitude of the magnetic flux through the rectangular loop area in this configuration? Tm² Loop B B Side View #1 TRO B Side View #2 (loop rotated)

In the figure (Figure 1) the top wire is 1.1 −mm−mm -diameter copper wire and is suspended in air due to the two magnetic forces from the bottom two wires. The current flow through the two bottom wires is 75 AA in each. Calculate the required current flow in the suspended wire. Express your answer using two significant figures. ICu=____________A