Chapter 26: Q75P (page 770)
A certain x-ray tube operates at a current of 7.00mAand a potential difference of 80.0kV. What is its power in watts?
The power of an X-ray tube is 560W.
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Figure 26-23 gives, for three wires of radius R, the current density J(r) versus radius r, as measured from the center of a circular cross section through the wire. The wires are all made from the same material. Rank the wires according to the magnitude of the electric field (a) at the center, (b) halfway to the surface, and (c) at the surface, greatest first.
Figure 26-17 shows a rectangular solid conductor of edge lengths L, 2L, and 3L. A potential difference Vis to be applied uniformly between pairs of opposite faces of the conductor as in Fig. 26-8b. (The potential difference is applied between the entire face on one side and the entire face on the other side.) First Vis applied between the left–right faces, then between the top–bottom faces, and then between the front–back faces. Rank those pairs, greatest first, according to the following (within the conductor): (a) the magnitude of the electric field, (b) the current density, (c) the current, and (d) the drift speed of the electrons.
The chocolate crumb mystery.This story begins with Problem 60 in Chapter 23 and continues through Chapters 24 and 25.The chocolate crumb powder moved to the silo through a pipe of radius Rwith uniform speed vand uniform charge density r. (a) Find an expression for the current i(the rate at which charge on the powder moved) through a perpendicular cross section of the pipe. (b) Evaluate ifor the conditions at the factory: pipe radius R = 5.0 cm, speed v = 2.0 m/s ,and charge density p =. If the powder were to flow through a change Vin electric potential, its energy could be transferred to a spark at the rate P = iV. (c) Could there be such a transfer within the pipe due to the radial potential difference discussed in Problem 70 of Chapter 24? As the powder flowed from the pipe into the silo, the electric potential of the powder changed. The magnitude of that change was at least equal to the radial potential difference within the pipe (as evaluated in Problem 70 of Chapter 24). (d) Assuming that value for the potential difference and using the current found in (b) above, find the rate at which energy could have been transferred from the powder to a spark as the powder exited the pipe. (e) If a spark did occur at the exit and lasted for 0.20 s (a reasonable expectation), how much energy would have been transferred to the spark? Recall from Problem 60 in Chapter 23 that a minimum energy transfers ofis needed to cause an explosion. (f) Where did the powder explosion most likely occur: in the powder cloud at the unloading bin (Problem 60 of Chapter 25), within the pipe, or at the exit of the pipe into the silo?
If the gauge number of a wire is increased by 6, the diameter is halved; if a gauge number is increased by 1, the diameter decreases by the factor 21/6 (see the table). Knowing this, and knowing thatof 10-gauge copper wire has a resistance of approximately, , estimate the resistance of 25 ftof 22-gauge copper wire.
A Nichrome heater dissipates 500 Wwhen the applied potential difference is 110 Vand the wire temperature is. What would be the dissipation rate if the wire temperature were held atby immersing the wire in a bath of cooling oil? The applied potential difference remains the same, and for Nichrome atisrole="math" localid="1661414566428" .
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