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A long, cylindrical conductor of radius R carries a current I as shown in the figure below. The current density J, however, is not uniform over the cross-section of the conductor but is a function of the radius according to J = br3, where b is a constant.
Find an expression for the magnetic field magnitude B at the following distances, measured from the axis. (Use the following variables as necessary: μ0, r1, r2, b, R .)
(a) r1 <R
(b)r2 > R
A 0.04 kg block of iron, with a specific heat of 448 J/(kg K), is initially at 500 degrees Celsius. What is the final equilibrium temperature of the block and water
In a constant-volume process, 201 J of energy is transferred by heat to 0.97 mol of an ideal monatomic gas initially at 306 K. Find the increase in internal energy of the gas
A 52.0 skateboarder wants to just make it to the upper edge of a "quarter pipe," a track that is one-quarter of a circle with a radius of 2.90. What speed does he need at the bottom.
A single slit that is 2600 nm wide forms a diffraction pattern when illuminated with monochromatic light of 420-nm wavelength. At an angle of 10° from the central maximum, what is the ratio of the intensity to the intensity of the central maximum?
A student doing part B of the experiment drops a ball from h0 = 100 cm, Find the fraction of Kinetic Energy lost in this collision
In the system shown in figure. A horizontal force Fx with a magnitude of 100N acts on object of mass m2=6.15kg. The horizontal force is frictionless. ( Picture- a flat table with mass m2 connected with a string to a pulley and mass 1 hangs off the ta..
A 6.0mH inductor is connected in parallel with a variable capacitor. What is the minimum oscillation frequency for this circuit
A point charge q is located at the center of a cubical box with an edge length L. What is the electric flux through one face of the box
An ideal heat-engine is to be used in an environment where the ambient temperature is 22.50 °C. What must be the minimum temperature of the hot heat reservoir in order to reach at least 46.40 percent efficiency with heat-engine? (Give the answer i..
A proton in a tin nucleus is known to lie with in a sphere whoes diameter is about 1.2x10^-14m. what is the uncertainty in the momentum of the proton
A student (m = 56 kg) falls freely from rest and strikes the ground. All through the impact with the ground, he comes to rest in a time of 0.04 s.
Suppose you measure the terminal voltage of a 3.260 V lithium cell having an internal resistance of 5.50 by placing a 1.00 kvoltmeter across its terminals, Find the actual terminal voltage to the nearest 0.01 V
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