The magnetic field 35.5 cm away from a long, straight wire carrying current 1.95 A is 1.10 μT.(a) At what distance is it 0.110 μT? - Answer: 354.54 cm ✅(b) At one instant, the two conductors in a long household extension cord carry equal 1.95 A currents in opposite directions. The two wires are 3.00 mm apart. Find the magnetic field 35.5 cm away from the middle of the straight cord, in the plane of the two wires. - Answer: 22.0 nT ❌- Note: Your response differs from the correct answer by more than 100%.(c) At what distance is it one tenth as large?- Answer: 355 cm ❌- Note: Your response differs from the correct answer by more than 100%.(d) The center wire in a coaxial cable carries current 1.95 A in one direction, and the sheath around it carries current 1.95 A in the opposite direction. What magnetic field does the cable create at points outside?- Answer: 0 nT ✅

Answered: The magnetic field 35.5 cm away from a…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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The magnetic field 35.5 cm away from a long, straight wire carrying current 1.95 A is 1.10 μT.

(a) At what distance is it 0.110 μT?

- Answer: 354.54 cm ✅

(b) At one instant, the two conductors in a long household extension cord carry equal 1.95 A currents in opposite directions. The two wires are 3.00 mm apart. Find the magnetic field 35.5 cm away from the middle of the straight cord, in the plane of the two wires.

- Answer: 22.0 nT ❌
- Note: Your response differs from the correct answer by more than 100%.

(c) At what distance is it one tenth as large?

- Answer: 355 cm ❌
- Note: Your response differs from the correct answer by more than 100%.

(d) The center wire in a coaxial cable carries current 1.95 A in one direction, and the sheath around it carries current 1.95 A in the opposite direction. What magnetic field does the cable create at points outside?

- Answer: 0 nT ✅

Expert Solution

Step 1: Magnetic field due a current in straight wire

The formula for the magnetic field produced by a long, straight wire at a distance r from the wire is given by:

$straight B equals fraction numerator straight mu subscript 0 straight I space over denominator 2 straight pi straight r end fraction$

Where:

B is the magnetic field strength in teslas (T).
$straight mu subscript 0$ is the permeability of free space, approximately equal to $4 straight pi cross times 10 to the power of negative 7 end exponent$ T·m/A.
I is the current in amperes (A).
r is the distance from the wire in meters (m).

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