Question

A long wire carrying a 4.0 A current perpendicular to the xy-plane intersects the x-axis at...

A long wire carrying a 4.0 A current perpendicular to the xy-plane intersects the x-axis at x=−2.2cm. A second, parallel wire carrying a 2.8 A current intersects the x-axis at x=+2.2cm

A) At what point on the x-axis is the magnetic field zero if the two currents are in the same direction?

B) At what point on the x-axis is the magnetic field zero if the two currents are in opposite directions?

Homework Answers

Answer #1

let

I1 = 4 A

I2 = 2.8 A


A) when the two currents are in the same direction, in between the wires the magnetic field direction are opposite to each other.

let at x cm from Origin Bnet = 0

B1 = B2

mue*I1/(2*pi*(2.2+x)) = mue*I2/(2*pi*(2.2-x))

4/(2.2+x) = 2.8/(2.2 - x)

x = 0.39 cm

B) A) when the two currents are in the opposite direction, in between the wires the magnetic field direction is in the same direction.

so, the point where Bnet is zero will be beyond +2.2 cm

let at x cm from Origin Bnet = 0

B1 = B2

mue*I1/(2*pi*(2.2+x)) = mue*I2/(2*pi*(x-2.2))

4/(2.2+x) = 2.8/(x-2.2)

x = 12.5 cm (on rounding 12 cm)

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A long wire carrying a 5.0 A current perpendicular to the xy-plane intersects the x-axis at...
A long wire carrying a 5.0 A current perpendicular to the xy-plane intersects the x-axis at x=−2.0cm . A second, parallel wire carrying a 3.5 A current intersects the x-axis at x=+2.0cm At what point on the x-axis is the magnetic field zero if the two currents are in the same direction? At what point on the x-axis is the magnetic field zero if the two currents are in opposite directions?
A long wire carrying a 5.0 A current perpendicular to the xy-plane intersects the x-axis at...
A long wire carrying a 5.0 A current perpendicular to the xy-plane intersects the x-axis at x=−2.0cm. A second, parallel wire carrying a 2.0 A current intersects the x-axis at x=+2.0cm. A) At what point on the x-axis is the magnetic field zero if the two currents are in the same direction? B) At what point on the x-axis is the magnetic field zero if the two currents are in opposite directions?
A long wire carrying a 4.5 A current perpendicular to the xy-plane intersects the x-axis at...
A long wire carrying a 4.5 A current perpendicular to the xy-plane intersects the x-axis at x=−2.0cm. A second, parallel wire carrying a 3.0 A current intersects the x-axis at x=+2.0cm. At what point on the x-axis is the magnetic field zero if the two currents are in the same direction? At what point on the x-axis is the magnetic field zero if the two currents are in opposite directions?
A horizontal current-carrying wire that is perpendicular to the plane of the paper is placed in...
A horizontal current-carrying wire that is perpendicular to the plane of the paper is placed in a uniform magnetic field of magnitude 2.8 mTmT that is parallel to the plane of the paper and points down. At the distance 1.0 cmcm to the right of the wire, the total magnetic field is zero. A. What is the direction of the current in the wire if the zero point is 0.4  to the left of the wire? Into the page. Out of...
Two long, parallel, current-carrying wires lie in an xy-plane. The first wire lies on the line...
Two long, parallel, current-carrying wires lie in an xy-plane. The first wire lies on the line y = 0.310 m and carries a current of 25.5 A in the +x direction. The second wire lies along the x-axis. The wires exert attractive forces on each other, and the force per unit length on each wire is 300 µN/m. What is the y-value (in m) of the line in the xy-plane where the total magnetic field is zero?
Two long straight wires carry currents perpendicular to the xy plane. One carries a current of...
Two long straight wires carry currents perpendicular to the xy plane. One carries a current of 45 A and passes through the point x = 5.5 cm on the x axis. The second wire has a current of 80 A and passes through the point y = 4.3 cm on the y axis. What is the magnitude of the resulting magnetic field at the origin?
Consider two long and parallel current carrying wires that are a distance 3.00 m away from...
Consider two long and parallel current carrying wires that are a distance 3.00 m away from each other, and carrying 72.0 mA and 33.0 mA currents. Assume that the origin of the coordinate system is on the 33.0 mA wire and its positive x axis is directed towards the 72.0 mA wire that is perpendicular to the wires. a.) If these currents are in the opposite direction, find all locations where the net magnetic field of the two wires is...
Consider two long and parallel current carrying wires that are a distance 5.00 mm away from...
Consider two long and parallel current carrying wires that are a distance 5.00 mm away from each other, and carrying 77.0 mAmA and 35.0 mAmA currents. Assume that the origin of the coordinate system is on the 35.0 mAmA wire and its positive xx axis is directed towards the 77.0 mAmA wire that is perpendicular to the wires. a) If these currents are in the opposite direction, find all locations where the net magnetic field of the two wires is...
Consider two long and parallel current carrying wires that are a distance 7.00 m away from...
Consider two long and parallel current carrying wires that are a distance 7.00 m away from each other, and carrying 73.0 mA and 40.0 mA currents. Assume that the origin of the coordinate system is on the 40.0 mA wire and its positive x axis is directed towards the 73.0 mA wire that is perpendicular to the wires. Part C If these currents are in the opposite direction, find all locations where the net magnetic field of the two wires...
two long straight wires are in the xy plane and parallel to the x axis. one...
two long straight wires are in the xy plane and parallel to the x axis. one wire is at x=10 cm and the other is on the y-axis. the current in each wire is 1.5 A and are antiparallel. the magnetic field on the x-axis at x=20 cm is...?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT
Active Questions
  • Research Target Corporation and assess your satisfaction with the company you researched and make recommendations about...
    asked 35 seconds ago
  • Evidence suggests that 70% of FSU students like turtles. Suppose we randomly sampled 15 FSU students....
    asked 35 seconds ago
  • Ulrich challenges the appropriateness of the nearly universal symbolism of the spinning wheel as the marker...
    asked 1 minute ago
  • Differential Equations: Please try to computer type, if not possible be clear and organize. Thank you...
    asked 1 minute ago
  • In your opinion, what are the three (3) most important benefits an employer can give to...
    asked 7 minutes ago
  • In a test of the effectiveness of garlic for lowering​ cholesterol, 81 subjects were treated with...
    asked 9 minutes ago
  • How does the 95% confidence interval correspond to the reported conclusion at a 0.05 significance level?...
    asked 10 minutes ago
  • 1) Consider the following Java program, which one of the following best describes "setFlavor"? public class...
    asked 10 minutes ago
  • You've had a chance to learn about Facebook, its model, growth, outlook, strategic assets, and competitive...
    asked 10 minutes ago
  • 1. What probability rule applies to this scenario? If 58% of the stats studs surveyed have...
    asked 27 minutes ago
  • 24. Several employees have submitted different methods of assembling a subassembly. Sample data for each method...
    asked 29 minutes ago
  • Derive the expression for ultimate moment of resistance for a singly reinforced beam by using the...
    asked 30 minutes ago