Chapter 22: Q66PE (page 814)

How far from the starter cable of a car, carrying 150 A, must you be to experience a field less than the Earth’s $5.00 \times 10^{- 5} T$ ? 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

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.

Given information and formula to use

The Earth’s Magnetic field is,B= $5.00 \times 10^{- 5} T$

Current in the wire is,I=150A

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

$B = \frac{μ_{o} I}{2 τ τ r}$ ………………..(1)

Where $μ_{0}$ is the magnetic permeability of free space.

Step 3: The required distance

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

$B = \frac{μ_{0} I}{2 πr} r = \frac{4 π \times 10^{- 7} N / A^{2} \times 150 A}{2 π \times 5.00 \times 10^{- 5} T} r = 0.60 m$

Therefore, you must be a distance higher 0.600m .

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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’s $5.00 \times 10^{- 5} T$ ? Assume a long straight wire carries the current. (In practice, the body of your car shields the dashboard compass.)

Short Answer

Step by step solution

Definition of magnetic field

Given information and formula to use

Step 3: The required distance

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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’s5.00×10-5T ? Assume a long straight wire carries the current. (In practice, the body of your car shields the dashboard compass.)

Short Answer

Step by step solution

Definition of magnetic field

Given information and formula to use

Step 3: The required distance

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Physics of Motion

Famous Physicists

Turning Points in Physics

Radiation

Solid State Physics

Translational Dynamics

Study anywhere. Anytime. Across all devices.

How far from the starter cable of a car, carrying 150 A, must you be to experience a field less than the Earth’s $5.00 \times 10^{- 5} T$ ? Assume a long straight wire carries the current. (In practice, the body of your car shields the dashboard compass.)