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Consider a long straight conducting wire that terminates in a metal sphere of radius r = 0.50 ± 0.01 cm. Suppose the wire is carrying a current of / = 3.0 ± 0.2 A in order to charge the sphere (positively).
(a) Sketch the shape of the electric and magnetic fields around the wire and the sphere.
(b) Discuss the relative merits of using the Biot-Savart law and Ampere's law to calculate the magnetic field around the wire. In this case, is it necessary to include the Maxwell correction to Ampere's law?
(c) Calculate the magnetic field strength at point P. which lies a distance of d = 1.00 ± 0.01 cm from the wire and I? = 10.0 ± 0.1 cm from the centre of the ball.
(d) Calculate the uncertainty in the magnetic field strength. Does the fact that this wire is not infinite in extent make a significant impact on the results? Explain.
You are on an airplane traveling 30° south of due west at 160.0 m/s with respect to the air. What is the heading of the plane with respect to the ground
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For a damped simple harmonic oscillator, the block has a mass of 2.2 kg and the spring constant is 13 N/m. The damping force is given by -b(dx/dt), How many oscillations are made by the block in this time
A 8-kg block is set moving with an initial speed of 6 m/s on a rough horizontal surface. If the force of friction is 12 N, approximately how far does the block travel before it stops?
A spring is hung from the ceiling. A 0.560 kilogram block is then attached to the free end of the spring. Obtain the angular frequency of the block vibrations
The velocity of a diver just before hitting the water is -11.4 m/s, where the minus sign specifies that her motion is directly downward. Find her displacement during the last 1.35 s of the dive
a pipe has a pressure of 2.00 x 105 pa at point a where the cross-sectional area is 0.100 m2. the speed of the water in
The truck slows down uniformly with an acceleration of 5.60 m/s2 for 4.20 s, making skid marks 62.40 m long that end at the tree. With what speed does truck then strike the tree.
A ball falls from the top of a building, through the air (air friction is present), to the ground below. How does the kinetic energy (K) just before striking the ground compare to the potential energy (U) at the top of the building? a. K is equal to ..
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