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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?
Four identical metallic objects carry the following charges: +5.4 µC, +5.4 µC, -7.0 µC, and -1.6 µC. What is the final charge on each object
A 4.8 toroidal inductor has 110 identical equally spaced coils. If it carries an 12.0 current, how much magnetic flux passes through each of its coils, at what rate is the current in it changing
In a dentist's office an X-ray of a tooth is taken using X-rays that have a frequency of 6.08 × 1018 Hz. What is the wavelength in vacuum of these X-rays
A metal wire 1.0mm in diameter and 2.5m long hangs vertically with a 4.8-kg object suspended from it. what is the value of Young's modulus for the metal
An oxygen molecule has a vibrational mode that behaves approximately like a simple harmonic oscillator with frequency 2.99 X 10^14 rad/s. Calculate the energy of the ground state
A 1.30-kg ball, moving to the right at a velocity of +4.52 m/s on a frictionless table, collides head-on with a stationary 8.40-kg ball. Find the magnitude and direction of the final velocity of the two balls if the collision is completely inelastic
the barrel of a ri?e has a length of 0.942 m. a bullet leaves the muzzle of a ri?e with a speed of 580 ms. what is the
A flat sheet of paper of area 0.260{\rm m^{2}} is oriented so that the normal to the sheet is at an angle of 54^\circ to a uniform electric field of magnitude 18{\rm N/C}. Find the magnitude of the electric flux through the sheet
at what angle to the vertical does the boy throw the can. What is the period of our orbital motion about the center of Galaxy in Earth years.
An open-tube mercury manometer is used to measure the pressure in an oxygen tank. The atmospheric pressure is 1020mbar .1 bar = 105 N/m2. Determine the absolute pressure (in Pa) in the tank
A fifteen-watt heater is used to heat a monatomic ideal gas at a constant pressure of 6.61 x 105 Pa. How long was the heater on
The electric field strength is 40800 N/C inside a parallel-plate capacitor with a 2.2 mm spacing. obtain the proton's speed when it reaches the negative plate
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