Question
Asked Dec 22, 2019
41 views

At a certain location, Earth has a magnetic field of 0.60 x
10-4 T, pointing 75° below the horizontal in a north–south
plane. A 10.0 - m - long straight wire carries a 15 - A current.
(a) If the current is directed horizontally toward the east,
what are the magnitude and direction of the magnetic force
on the wire? (b) What are the magnitude and direction of the
force if the current is directed vertically upward?

check_circle

Expert Answer

Step 1

Part a:

help_outline

Image Transcriptionclose

Given info: The magnetic field of earth at the location is 0.60 x 10 4T pointing 75° below the horizontal in a north-south plane. The length of the wire is 10.0 m. The current in the wire is 15 A. The current is directed horizontally toward east. Explanation: The magnitude of the magnetic force on a current carrying wire is given by, F = BIL sin 0 Bis the magnetic field I is the current on the wire L is the length of the wire e is the angle between the direction of current and the magnetic field When the current is directed horizontally toward east and the magnetic field is pointing 75° below the horizontal in a north-south plane, the angle e will be 90°.

fullscreen
Step 2
help_outline

Image Transcriptionclose

Substitute 15 A for I, 0.60 x 10 4T for B, 10.0 m for L and 90° for e to determine B, F = (0.60 x 10 4T) (15 A) (10.0 m) sin 90° = 9.0 x 10 ³ N Right hand rule: Consider a current carrying wire. When the fingers of the right hand point in the direction of current and while the hand is closed the fingers move in the direction of the magnetic field, the thumb points in the direction of the magnetic force. Applying right hand thumb rule the direction of the magnetic force will be 15° above the horizontal in the northward direction. Conclusion: The magnetic force has a magnitude of 9.0 × 10 ³N directed 15° above the horizontal in the northward direction.

fullscreen
Step 3

Part b:

...
help_outline

Image Transcriptionclose

Given info: The magnetic field of earth at the location is 0.60 x 10 4T pointing 75° below the horizontal in a north-south plane. The length of the wire is 10.0 m. The current in the wire is 15 A. The current is directed vertically upward. Explanation: The magnitude of the magnetic force on a current carrying wire is given by, F = BIL sin 0 Bis the magnetic field I is the current on the wire • L is the length of the wire • e is the angle between the direction of current and the magnetic field When the current is directed vertically upward and the magnetic field is pointing 75° below the horizontal in a north-south plane, the angle 0 will be 75° + 90° = 165°.

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Physics

Electromagnetic Induction

Related Physics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: If water that boils due to reduced pressure is not hot, then is ice formed by the reduced pressure n...

A: From the ideal gas equation:

question_answer

Q: A voltage ΔV is applied to a series configuration of n resistors,each of resistance R. The circuit c...

A: Formula to calculate the resistance across the circuit when resistors are connected in series combin...

question_answer

Q: How does heat differ from internal energy , or are they two terms of same thing?

A: Click to see the answer

question_answer

Q: What happens to an Earth satellite's period when the satellite is placed into a higher orbit?

A: There are essentially three types of Earth orbits: high orbit, medium orbit, and low Earth orbit. Ma...

question_answer

Q: Is it important to convert temperature to the Kelvin scale when we use Newton's law of cooling? Why ...

A: Click to see the answer

question_answer

Q: To become a positive ion, does an atom lose or gain an electron?

A: Step 1Atoms consists of neutrons, protons and electrons. Out of these, neutrons are neutral particle...

question_answer

Q: What is approximate mass of a column of air 1cm2 in area that extends from sea level to the upper at...

A: Let A be the area of the air, rho be the average air density of the air, V be its volume, h be the h...

question_answer

Q: Consider the series RC circuit shown in Figure 18.17 for whichR = 75.0 kΩ, C = 25.0 µF, and ε = 12.0...

A: Given data:R = 75.0 k Ω = 75.0 x 103 ΩC = 25.0 µF = 25.0 x 10-6 Fε = 12.0 V

question_answer

Q: A long, straight wire lies on a horizontal table in thexy - plane and carries a current of 1.20 µA i...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...