**Physics Problem on Magnetic Fields****Problem Statement:**Two long, parallel conducting wires carry current that is parallel to the x-axis. Wire 1 carries a current \( I_1 = 1.5 \, \text{A} \) in the positive x-direction at \( y = 2.0 \, \text{m} \). Wire 2 carries an unknown current \( I_2 \) at \( y = 0.0 \, \text{m} \). The total magnetic field at \( y = 1.4 \, \text{m} \) due to the two current-carrying wires has zero magnitude.**[Answer in **2 significant figures**]****Diagram Description:**There are three horizontal lines representing the positions of the wires and the point where the magnetic field is calculated:- At \( y = 2.0 \, \text{m} \), we have Wire 1 with \( I_1 = 1.5 \, \text{A} \) in the positive x-direction.- At \( y = 0.0 \, \text{m} \), we have Wire 2 with an unknown current \( I_2 \).- At \( y = 1.4 \, \text{m} \), the magnetic field \( \mathbf{B} = 0 \).\[ \begin{align*}&\left( \text{y-axis (m)} \right. \\&\text{y = 2.0 m} \quad \text{(Wire 1, } I_1 = 1.5 \text{ A)} \\&\text{y = 1.4 m} \quad \text{(B = 0)} \\&\text{y = 0} \quad \text{(Wire 2, } I_2 = ?)\end{align*} \]**Questions:**a) What is the value and direction of current \( I_2 \)?b) If the direction of current \( I_2 \) is reversed, at what distance from Wire 2 is the net magnetic field zero?

Answered: Image /qna-images/answer/2c4a6ae5-fc91-493f-b24f-99999384e763.jpg

5. Two long, parallel conducting wires carry current that are parallel to x-axis. Wire 1 carries a current I1 = 1.5 A in the positive x-direction at y = 2.0 m. Wire 2 carries an unknown current I2 at y = 0.0 m. The total magnetic field at y = 1.4 m due to the two current carrying wires has zero magnitude. [Answer in 2 significant figures] y (m) y = 2.0 m 1₁=1.5 A Wire 1 y = 1.4 m B=0 y=0 1₂ = ? Wire 2 X (m) What is the value and direction of current I2? b) If the direction of current I2 is reversed, at what distance from wire 2 is the net magnetic field zero?

5. Two long, parallel conducting wires carry current that are parallel to x-axis. Wire 1 carries a current I1 = 1.5 A in the positive x-direction at y = 2.0 m. Wire 2 carries an unknown current I2 at y = 0.0 m. The total magnetic field at y = 1.4 m due to the two current carrying wires has zero magnitude. [Answer in 2 significant figures] y (m) y = 2.0 m 1₁=1.5 A Wire 1 y = 1.4 m B=0 y=0 1₂ = ? Wire 2 X (m) What is the value and direction of current I2? b) If the direction of current I2 is reversed, at what distance from wire 2 is the net magnetic field zero?

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)...

See similar textbooks

Related questions

Q: A positively-charged particle moves in a uniform magnetic field that is directed into the plane of…

Q: 2. A long, straight wire lies along the z-axis and carries a 6.50 A current in the +z-direction.…

A: Magnetic field at a point due to finite wire which makes same angle from the line passing through…

Q: 11 Two long, parallel wires carry currents of I₁ = 2.95 A and 12 (Take the positive x direction to…

Q: Two long straight wires are perpendicular to the page and separated by a distance d1 = 0.850 cm.…

Q: Wire 1 carries a constant current ?1 = 80.0 ? out of the page. Wire 2 carries a constant current ?2…

Q: A particle with charge -2.00 C initially moves at -(1.00 +7.007) m/s. If it encounters a magnetic…

A: Given: Charge, q=-2.00 C Velocity, v→=1.00 i^+7.00 j^m/s Magnetic field, B→=50.00 k^ T To find:…

Q: Two parallel wires, each carrying a current of 2.2 A in the same direction, are shown. Find the…

Q: 1. A long, straight wire has a current of 11 = 35 A going upward. Next to this wire is a rectangular…

A: We know that if current is in same direction then force will be attraction. And if current is in…

Q: Two long wires are oriented so that they are perpendicular to each other. As their closet, they are…

Q: field 38.0 cm away from a long, straight wire carrying current 4.00 A is 2110 nT. (a) At what…

A: As the Part D is solved I am going to solve Part A,B,C; Given: Distance, d = 38 cm = 38x 10-2 m…

Q: field 41.0 cm away from a long, straight wire carrying current 3.00 A is 1460 nT. The magnetic (a)…

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

Q: A hollow, thick-walled, conducting cylinder carries a current of 14.8 A and has an inner radius r,…

Q: ½₂ 7₁ (a) What is the magnetic field created by I, at the location of I? magnitude direction…

Q: A long, straight wire lies on a horizontal table in the xy-plane and carries a current of 1.15 HA in…

A: As per our guidelines we will solve first three subparts for you. To get remaining subparts solved…

Q: 3. A proton is released at point P with an initial velocity of 1 x 105 m/s directed to the right, as…

Q: Two long, parallel conductors, separated by 14.0 cm, carry currents in the same direction. The first…

A: given two parallel current carrying wires at separation = 14cm I1=2ampere I2= 8ampere

Q: 2. Three 10 m long, parallel conductors carry currents of /= 2.00 A for current above x axis, 1=4.00…

Q: A wire carries a steady current of 2.00 A. A straight section of the wire is 0.750 m long and lies…

Q: 4. Two infinitely long, straight, parallel wires are carrying currents in the same direction. Wire A…

A: The current in wire A is given as, IA = 3.2 A The current in wire B is given as, IB = 7.3 A The…

Q: A straight wire of length 74.7 cm carries a current of 50 A and makes an angle of 60° with a uniform…

A: Given: Length=l=74.7 cm=0.747 m Current=I=50 A Angle=60o Force=F=1.3 N

Q: A particle with mass 10.0g and charge 15.0 μC has a velocity vector of 8.0ˆi + 4.0ˆj m/s. It enters…

Q: Two long, parallel wires carry currents of I₁ = 3.04 A and I₂ = 4.50 A in the direction indicated in…

A: Fundamentals:Magnitude of the magnetic field due to a current carrying conduction is given by:B = μo…

Q: 4. A negatively charged particle (q = -22.0μC) travels at a constant speed of 3.20 x 10 m/s out of…

A: Charge on particle q=-22.0μC=-22.0×10-6 CSpeed of particle v=3.20×106 m/sMagnetic field B=3.75×105 T

Q: Calculate the force acting on a long A current and sitting at 45° to a 2.0 x 10-3T magnetic field. O…

A: length =L= 25 cm =0.25 m current = i = 5 Amp magnetic field = B = 2 X 10-3 T angle = 45

Q: I2 I3 Four long, parallel wires are located at the corners of a square of side a = 20 cm, as shown…

A: Given that, the currents are I1=8A I3=8AI2=3A I4=1A…

Q: Two parallel wires, each carrying a current of 2.2 A in the same direction, are shown. Find the…

A: current in both wire =2.2 ampere distance from wire 1st=7.5cm distance from wire 2nd=22.5 cm

Q: A rod with radius R = 2.02 mm is carrying a current of 13.0 A. determine the magnetic field at the…

Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

Question

**Physics Problem on Magnetic Fields**

**Problem Statement:**
Two long, parallel conducting wires carry current that is parallel to the x-axis. Wire 1 carries a current \( I_1 = 1.5 \, \text{A} \) in the positive x-direction at \( y = 2.0 \, \text{m} \). Wire 2 carries an unknown current \( I_2 \) at \( y = 0.0 \, \text{m} \). The total magnetic field at \( y = 1.4 \, \text{m} \) due to the two current-carrying wires has zero magnitude.

**[Answer in **2 significant figures**]**

**Diagram Description:**
There are three horizontal lines representing the positions of the wires and the point where the magnetic field is calculated:
- At \( y = 2.0 \, \text{m} \), we have Wire 1 with \( I_1 = 1.5 \, \text{A} \) in the positive x-direction.
- At \( y = 0.0 \, \text{m} \), we have Wire 2 with an unknown current \( I_2 \).
- At \( y = 1.4 \, \text{m} \), the magnetic field \( \mathbf{B} = 0 \).

\[ \begin{align*}
&\left( \text{y-axis (m)} \right. \\
&\text{y = 2.0 m} \quad \text{(Wire 1, } I_1 = 1.5 \text{ A)} \\
&\text{y = 1.4 m} \quad \text{(B = 0)} \\
&\text{y = 0} \quad \text{(Wire 2, } I_2 = ?)
\end{align*} \]

**Questions:**
a) What is the value and direction of current \( I_2 \)?
b) If the direction of current \( I_2 \) is reversed, at what distance from Wire 2 is the net magnetic field zero?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

I2 Four long, parallel wires are located at the corners of a square of side a = 20 cm, as shown in the figure above, where I = 8 A, I2 = 3 A, I3 = 8 A, I4 = 1 A. Find: a) the resultant magnetic field at the center of the square: Î+ j+ k) T. b) the force on an electron moving at 5 x 10° i m/s as it passes the center: it j+ k) N
10. Two long, straight wires are separated by distance, d = 19.0 cm. The wires carry currents of I = 7.00 A and I2 = 8.50 A in opposite directions, as shown in the figure. Find the magnitude of the net magnetic field at point (B). Let r1 13.0 cm, r2 = 8.00 cm, and r3 = 13.0 cm. T.
Three infinite straight wires are are parallel to each other and a distance of d = 37.9 cm apart. The currents are: I₁ =14A, I2 =7A, I3 =20 A. The directions of the currents are indicated in the figure. Determine the magnitude of the net magnetic field at a point midway between wire #1 and wire #2 (in µT). #1 #2 #3 (X) d Р X d 14.4239 margin of error +/- 1%
A proton is moving along in the +y-direction with a speed of 5.2 × 105 m/s experiences a magnetic force of 8.5 × 10−4 N out of the page. A second proton moves along in the −x-direction at the same speed but experiences no magnetic force. What is the strength and direction of the magnetic field?[Answer: B⃗ = −1.0 × 1010 T xˆ]
The diagram below shows two parallel wires with the top wire carrying a steady current of 2.00 A and the bottom wire carrying a steady current of 5.00 A both running in opposite directions. If the wires are separated by a distance of 2.00 cm, what is the magnetic field strength at a point 3.00 cm below the bottom wire? I1 2.00 A 2.00 cm I : = 5.00 A 3.00 cm а. 11.5 рТ b. 19.8 μΤ c. 25.3 µT d. 14.1 µT е. 8.12 иТ