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A thick-walled copper pipe (inner radius a and outer radius b) is centered on the z-axis and carries a current density of magnitude J(r)=B*r. (The parameter B has units A/m^3). A wire runs parallel to the pipe a distance R=2*b away from the z-axis. (a) What is B=B(vector), the magnetic field magnitude, inside the pipe (rb)? (b) Sketch a plot of the field magnitude B(r). Be sure to clearly label the axes of your plot, the value of the maximum B(max), the inner and outer radii a and b, and how B(r) depends on r in each region described in part (a). (c) Suppose that a current i(w) flows in the wire at R=2b. What force does the wire exert on the pipe if i(w) flows in the same direction as i(p), the total current in the pipe?
Suppose that the sound level of a conversation is initially at an angry 70 dB and then drops to a soothing 50 dB. determine the final sound wave amplitudes
one hundred meters of 2.0mm diameter wire has a resistance of 0.532 ohm. What is the resistivity of the material from which the wire is made
A stick of mass m and length L spins with frequency w around an axis, What is the tension in the string, and what is the force that the pivot applies to the stick
The potential difference across a resting neuron in the human body is about 70 mV, How much power does the neuron release
A gas is allowed to expand isothermally until it reaches its final volume and its pressure is 2.97 atm. Find the heat absorbed by the gas during this process
Two 100kg lead spheres are suspended from 160m -long massless cables. The tops of the cables have been carefully anchored exactly 1.0m apart
Determine the magnitude when the force on the wire
A physical pendulum is composed of a sphere whose center of gravity is attached to a thin rod. The sphere has a moment of inertia of 2/5 MR2. The period of the physical pendulum is
A good baseball pitcher can throw a baseball toward home plate at 91 miles per hour with a spin of 1789 revolutions per minute. How many revolutions does baseball make on its way to home plate? For simplicity, assume that the 60.0 ft path is a straig..
A string is wrapped around the disk of mass m = 1.8 kg and radius R = 0.11 m. Starting from rest, you pull the string with a constant force F = 8 N along the nearly frictionless surface. At an instant when the center of the disk has moved a distan..
Two Satellites A and B, each of mass 50 kg are in circular orbits at altitudes of 1000 km and 35000 km respectively. What is the difference in gravitational potential energies of the two satellites in their respective orbits
You are driving your car, and the traffic light ahead turns red. You apply the brakes for 2.56 s, and the velocity of the car decreases to + 4.62 m/s. What is the car's displacement
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