8 8) Wire is wrapped around the equator of an Earth globe of radius 15cm, making tencomplete trips. The globe itself is a plastic sphere. If the wire has a total resistance of3.42 and the maximum safe power that can be run through the wire without melting theglobe is 75W, what's the maximum safe current?

Answered: Image /qna-images/answer/41263220-3bbf-4784-a2c3-586cc4ebde07.jpg

Answered: 8) Wire is wrapped around the equator…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

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Chapter9: Current And Resistance

Section: Chapter Questions

Problem 60P: Running late to catch a plane, a driver accidentally leaves the headlights on after parking the car...

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Residential building codes typically require the use of 12-gauge copper wire (diameter 0.205 cm) for wiring receptacles. Such circuits carry currents as large as 20.0 A. If a wire of smaller diameter (with a higher gauge number) carried that much current, the wire could rise to a high temperature and cause a fire. (a) Calculate the rate at which internal energy is produced in 1.00 m of 12-gauge copper wire carrying 20.0 A. (b) Repeat the calculation for a 12-gauge aluminum wire. (c) Explain whether a 12-gauge aluminum wire would be as safe as a copper wire.
The current through a 12-gauge wire is given as I(t)=(5.00A)sin(260Hzt)). What is the current density at time 15.00 ms?
If two different wires having identical cross-sectional areas carry the same current, will the drift velocity be higher or lower in the better conductor? Explain in terms of the equation vd=1nqA by considering how the density of charge carriers n srelates to whether or not a material is a good conductor.
A 0.50-W, 220- resistor carries the maximumcurrent possible without damaging the resistor. If the current were reduced to half the value, what would be the power consumed?
The diameter of wire A is greater than the diameter of wire B, but their lengths and resistivities are identical. For a given voltage difference across the ends, what is the relationship between PA and PB, the dissipated power for wires A and B, respectively? (a) PA = PB (b) PA PB (c) PA PB
When a straight wire is heated, its resistance changes according to the equation R = R0 [1 + (T T0)] (Eq. 17.7), where is the temperature coefficient of resistivity. (a) Show that a more precise result, which includes the length and area of a wire change when it is heated, is R=R0[1+(TT0)][1+(TT0)][1+2(TT0)] where is the coefficient of linear expansion. (See Topic 10.) (b) Compare the two results for a 2.00-m-long copper wire of radius 0.100 mm, starting at 20.0C and heated to 100.0C.
A 14-gauge copper wire has a diameter of 1.628 mm. What magnitude current flows when the drift velocity is 1.00 mm/s? (See above example on Example 20.3 for useful information.)
Running late to catch a plane, a driver accidentally leaves the headlights on after parking the car in the airport parking lot. During takeoff, the driver realizes the mistake. Having just replaced the battery, the driver knows that the battery is a 12-V automobile battery, rated at 100Ah . The driver, knowing there is nothing that can be done, estimates how long the lights will shine, assuming there are two 12-V headlights, each rated at 40 W. What did the driver conclude?
What is die basic operation of an ohmmeter as it measures a resistor?
Can a wire cany a current and still be neutral—that is, have a total charge of zero? Explain.
Assuming a constant temperature coefficient of resistivity what is the maximum percent decrease in the resistance of a constantan wire starting at 20.0C ?
When a straight wire is heated, its resistance changes according to the equation R = R0 [1 + (T T0)] (Eq. 17.7), where is the temperature coefficient of resistivity. (a) Show that a more precise result, which includes the length and area of a wire change when it is heated, is R=R0[1+(TT0)][1+(TT0)][1+2(TT0)] where is the coefficient of linear expansion. (See Topic 10.) (b) Compare the two results for a 2.00-m-long copper wire of radius 0.100 mm, starting at 20.0C and heated to 100.0C.

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