4. Two 4.0 m-long parallel wires are separated by 1 cm. The upper wire carries a current of 4 A while the lower wire carries 2 A as shown. What is the force felt (magnitude and direction) on the 4 A wire from the 2 A wire?Diagram explanation:- Two parallel lines represent the wires.- The upper wire, labeled "4 A," carries a current of 4 amperes directed to the right.- The lower wire, labeled "2 A," carries a current of 2 amperes also directed to the right.- The vertical distance between the wires is labeled as "1 cm." To solve for the force:Use the formula for the magnetic force between two parallel currents:\[ F = \frac{{\mu_0 \cdot I_1 \cdot I_2 \cdot L}}{{2\pi \cdot d}} \]Where:- \( \mu_0 \) is the permeability of free space (\(4\pi \times 10^{-7} \, \text{T}\cdot\text{m/A}\))- \( I_1 \) and \( I_2 \) are the currents in the wires (4 A and 2 A)- \( L \) is the length of the wires (4.0 m)- \( d \) is the distance between the wires (0.01 m)Calculate the force and its direction based on current direction.

Answered: Image /qna-images/answer/3dc04853-0f19-4426-a70e-3a5ff19ec19e.jpg

4. Two 4.0 m-long parallel wires are separated by 1 cm. The upper wire carries a current of 4 A while the lower carries 2 A as shown. What is the force felt (magnitude and direction) on the 4 A wire from the 2 A wire?

4. Two 4.0 m-long parallel wires are separated by 1 cm. The upper wire carries a current of 4 A while the lower carries 2 A as shown. What is the force felt (magnitude and direction) on the 4 A wire from the 2 A wire?

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 conducting wire is wrapped around an iron cylinder. Which statement is correct? If…

A: Wrapping a conducting wire around an iron cylinder is the concept of solenoid. So one thing is clear…

Q: 3. Coaxial cables are often used to connect electrical devices, for instance in receiving signals in…

A: The current in the loop sets up a magnetic field between the inner and outer conductors that passes…

Q: ) Express the magnitude of the force between the wires per unit length, f, in terms of I1, I2, and…

Q: An clectric current of 0.716 Amps passes into two wires in which it is divided into currents in the…

A: Given data: Total current (I) = 0.716 A Current ratios I1:I2 = 2.83 : 1.09 Required: The currents…

Q: The figure shows a cross section of three parallel wires each carrying a current of 7.4 A. The…

Q: (b) Four long conductors are carrying currents, as shown in the figure. The currents = 12 = 14 = 2 A…

A: Given: The value for the currents I1, I2, and I4 is 2 A. The value for the current I3 is 5 A.…

Q: What causes charges in a current to move? An electric current in a conductor is caused by an…

A: The Newton’s second law of motion is defined as the force acting on the particle is the rate of…

Q: A 2.5 m segment of wire supplying current to the motor of a submerged submarine carries 1050 A and…

Q: In the figure below, the blue wire has a current I= 57 A and the red loop is a square with sides…

Q: 15. Two long, straight wires are parallel to each other and are 1.0 cm apart. The current through I…

Q: What is the magnitude of the force per unit length between two wires each carrying 40 A of current,…

Q: Two infinitely long, straight, parallel wires are orientated perpendicular to the page as shown…

A: We will answer the question by using formula for the magnetic field due to a infinitely long…

Q: rectangular loop of wire lies in the same plane as a straight wire, as shown in the figure below.…

Q: An electron is accelerated from rest through 2300 V and then enters a region of uniform magnetic…

Q: Two long, parallel wires are separated by 2.8 m. Each wire has a 32-A current, but the currents are…

A: Magnetic Field is the region around a magnetic material or a moving electric charge within which the…

Q: 4 A -2 4 -2 Consider the two vectors, A and B, in the figure. The x and y components of both vectors…

A: Addition of two vectors A→=axi^+ayj^+azk^ and B→=bxi^+byj^+bzk^ is given by-…

Q: 0.5 A of current passes through a 40 cm long wire. The wire is in a magnetic field and experiences a…

Q: What is the magnitude of the force acting between a 20-cm length of the two current-carrying,…

Q: Two 44 meter long parallel wires experience an attractive force of 0.006 N. If they are 0.42 m apart…

A: Length of the wires, L=44m Attractive force, F=0.006N Distance between the wires, d=0.42m Current in…

Q: Consider the two parallel wires as illustrated below that both carry a current of (3.8x10^0) mA…

A: This problem is from Magnetostatics (electrodynamics). Please have a good look

Q: The figure below shows an arrangement in which four long parallel wires carry equal currents…

Q: 11. A straight wire of 5.0-m length carries a current of 6.0 A. A second straight wire of similar…

A: The length of each wire is: The upward current in the first wire is: The downward current in the…

Q: In a lab experiment, two parallel wires are separated by a distance of 4.5 mm. One wire carries a…

Q: The figure shows a cross section of three parallel wires each carrying a current of 24 A. 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

4. Two 4.0 m-long parallel wires are separated by 1 cm. The upper wire carries a current of 4 A while the lower wire carries 2 A as shown. What is the force felt (magnitude and direction) on the 4 A wire from the 2 A wire?

Diagram explanation:
- Two parallel lines represent the wires.
- The upper wire, labeled "4 A," carries a current of 4 amperes directed to the right.
- The lower wire, labeled "2 A," carries a current of 2 amperes also directed to the right.
- The vertical distance between the wires is labeled as "1 cm."

To solve for the force:
Use the formula for the magnetic force between two parallel currents:

\[ F = \frac{{\mu_0 \cdot I_1 \cdot I_2 \cdot L}}{{2\pi \cdot d}} \]

Where:
- \( \mu_0 \) is the permeability of free space (\(4\pi \times 10^{-7} \, \text{T}\cdot\text{m/A}\))
- \( I_1 \) and \( I_2 \) are the currents in the wires (4 A and 2 A)
- \( L \) is the length of the wires (4.0 m)
- \( d \) is the distance between the wires (0.01 m)

Calculate the force and its direction based on current direction.

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: Determine the given information

VIEW

Step 2: Calculate the magnetic field at position of upper wire due to lower wire

VIEW

Step 3: Calculate the magnetic force on 4A wire

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 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

1. Two parallel wires are separated by 0.36 m. Wire 1 carries 4.8 A and Wire 2 carries 8.9 A, both currents in the same direction. The force on 0.53 m of Wire 1 is:
B. An electron is moving through a magnetic field in a direction perpendicular to the field as shown below. The charge is moving with a speed of v = 3.5 x 105 and it experiences a force of F = 1.79 x 10-13 N. What is the magnitude and direction of the magnetic field? The charge of an electron is q -1.6 x 10-19 C. 12
A particle with charge q is at rest when a magnetic field is suddenly turned on. The field points in the z direction. What is the direction of the net force acting on the charged particle?Select one:a.The net force is zero.b.In the z directionc.In the direction andd.In the x direction
2.3
9. A helium nucleus (2 protons, 2 neutrons) is traveling at a velocity of 8.73 x 10^6 m/s a distance of 4.40 cm away from a wire carrying a current of 4.52 A. The helium nucleus is traveling in a direction parallel to the current in the wire. How much acceleration does the helium nucleus experience due to the magnetic force from the current in the wire? 8.59E+09 m/s^2 2.58E+09 m/s^2 1.12E+10 m/s^2 1.55E+10 m/s^2
What is the magnitude of the force acting between a 20-cm length of the two current-carrying, parallel wires shown in the figure below? y(cm) 10 8.0 4 = 2.0 A 6.0 4.0 ½ = 3.0 A 2.0 0.00 O a. 10 µN O b.4.0 µN O .8.0 µN O d. 12 µN O e.6.0 µN
Two parallel wires are 14cm apart. One carries a current of 2.3A, while the other carries a current of 5.4A in the same direction. What is the magnitude of the force per unit length that one wire exerts on the other?
2. Two wires carry currents as indicated. I The net torque on the top wire, due to the bottom wire, is: X) a. Directed left e. Directed into the page b. Directed right f. Directed out of the page c. Directed up g. Zero d. Directed down
Two parallel wires are 2.02 mm apart and 7.8 m long. Each wire carries a current of 8.9 A. Find the magnitude of the force (in Newtons) that they exert on each other
9. Two differential current elements, I₁AL₁= 3×10° ay Am at P₁(1,0, 0) and 1₂AL2= 3×10 (-3a +4ay+5a) A⋅m at P₂(2, 2, 2), are located in free space. Find the vector force exerted on 12AL2 by I₁AL₁.
In the figure below, the blue wire has a current I = 25 A. The red loop is a square with sides that are 42 cm long and it has a current of 94 A. The distance between the blue wire and wire BC is 4.5 cm. Determine the force the blue wire exerts on wire BC and the force the blue wire exerts on wire AD. www B Force of blue wire on BC = direction of force on BC = Choose direction ✓ Force of blue wire on AD = direction of force on AD = Choose direction
Two wires are separated by a distance of 5.0 cm and one carries a 11.0 A current up while the other carries a 9.5 A current down. If the wires are 1.2 m long then what is the force that each wire exerts on the other and is the force attractive or repulsive?