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How far from the starter cable of a car, carrying 150 A, must you be to experience a field less than the Earth鈥檚5.0010-5T ? Assume a long straight wire carries the current. (In practice, the body of your car shields the dashboard compass.)

Short Answer

Expert verified

Therefore, you must be a distance higher 0.600m .

Step by step solution

01

Definition of magnetic field

A magnetic field is defined as a position in space near a magnet or an electric current where a physical field is formed by a moving electric charge applying force on another moving electric charge.

02

Given information and formula to use

The Earth鈥檚 Magnetic field is,B=5.0010-5T

Current in the wire is,I=150A

Magnetic field due to current carrying wire at a distance r:

B=oI2r鈥︹赌︹赌︹赌︹赌︹赌..(1)

Where 0is the magnetic permeability of free space.

03

Step 3: The required distance

Rearranging the equation (1) and substituting the given data we will get

B=0I2蟺谤r=410-7N/A2150A25.0010-5Tr=0.60m

Therefore, you must be a distance higher 0.600m .

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Most popular questions from this chapter

The wire carrying 400Ato the motor of a commuter train feels an attractive force of4.0010-3N/mdue to a parallel wire carrying 5.00Ato a headlight. (a) How far apart are the wires? (b) Are the currents in the same direction?

A 0.750-m-long section of cable carrying current to a car starter motor makes an angle of 60潞 with the Earth鈥檚5.5010-5Tfield. What is the current when the wire experiences a force of localid="1653896077054" 7.00103N? (b) If you run the wire between the poles of a strong horseshoe magnet, subjecting 5.00 cm of it to a 1.75-T field, what force is exerted on this segment of wire?

What current is needed in the solenoid described in Exercise 22.58 to produce a magnetic field 104 times the Earth鈥檚 magnetic field of 5.0010-5T?

Repeat Exercise 22.3 for a positive charge.

(a) Viewers of Star Trek hear of an antimatter drive on the Starship Enterprise. One possibility for such a futuristic energy source is to store antimatter-charged particles in a vacuum chamber, circulating in a magnetic field, and then extract them as needed. Antimatter annihilates with normal matter, producing pure energy. What strength magnetic field is needed to hold antiprotons, moving at\({\rm{5}}{\rm{.00 \times 1}}{{\rm{0}}^{\rm{7}}}{\rm{ m/s}}\)in a circular path\({\rm{2}}{\rm{.00 m}}\)in radius? Antiprotons have the same mass as protons but the opposite (negative) charge. (b) Is this field strength obtainable with today鈥檚 technology or is it a futuristic possibility?

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