Concept explainers
(a)
Find the force per unit length exerted on wire A.
(a)
Answer to Problem 65PQ
The force per unit length exerted on wire A is
Explanation of Solution
The curent flowing in all the wires is in the same direction. Therefore, the wires will be attracted towards each other.
The forces acting on the wire A due to the current in the wire B and wire C are as shown below.
Write the expression for force exerted on wire A due to current in wire C as.
Here,
Write the expression for force exerted on wire A due to current in wire B as.
Here,
The components of the forces
Write the expression for component of the forces along the X-axis as.
Here,
Write the expression for component of the forces along the Y-axis as.
Here,
Write the expression for the net force on the wire A as.
Here,
The distance between all the three wires is same. Therefore the wires form an equilateral triangle. So, the angle between the two forces is
Conclusion:
Substitute
Substitute
Substitute
Substitute
Substitute
Thus, the force per unit length exerted on wire A is
(b)
Find the force per unit length exerted on wire B.
(b)
Answer to Problem 65PQ
The force per unit length exerted on wire B is
Explanation of Solution
The forces acting on the wire A due to the current in the wire B and wire C are as shown below.
Write the expression for force exerted on wire B due to current in wire A as.
Here,
Write the expression for force exerted on wire B due to current in wire Cas.
Here,
The components of the forces
Write the expression for component of the forces along the X-axis as.
Here,
Write the expression for component of the forces along the Y-axis as.
Here,
Write the expression for the net force on the wire B as.
Here,
The wires form an equilateral triangle. So, the angle between the two forces is
Conclusion:
Substitute
Substitute
Substitute
Substitute
Substitute
Thus, the force per unit length exerted on wire B is
Want to see more full solutions like this?
Chapter 30 Solutions
Physics for Scientists and Engineers: Foundations and Connections
- The figure shows a cross section of three parallel wires each carrying a current of 45.6 A. The currents in wires A and C are out of the paper, while that in wire B is into the paper. If the distance R = 5.0 mm, what is the magnitude of the force on a 4.0 m length of wire C? R R A В а. 3.65 mN ОБ. 207.94 mN O c. 166.35 mN O d. 499.05 mN e. 0.00 Narrow_forwardMultiple-Concept Example 7 discusses how problems like this one can be solved. A 2.00-µC charge is moving with a speed of 9.20 x 104 m/s parallel to a very long, straight wire. The wire is 2.80 cm from the charge and carries a current of 98.O A. Find the magnitude of the force on the charge.arrow_forwardThe figure shows a cross section of three parallel wires each carrying a current of 34.5 A. The currents in wires A and C are out of the paper, while that in wire B is into the paper. If the distance R = 5.0 mm, what is the magnitude of the force on a 4.0 m length of wire C? R R А В a. 95.22 mN O b. 285.66 mN O c. 2.76 mN O d. 0.00 N е. 119.03 mNarrow_forward
- The figure shows a cross section of three parallel wires each carrying a current of 7.4 A. The currents in wires A and C are out of the paper, while that in wire B is into the paper. If the distance R = 5.0 mm, what is the magnitude of the force on a 4.0 m length of wire C? C a. 0.59 mN b. 5.48 mN c. 0.00 N d. 13.14 mN е. 4.38 mNarrow_forwardTwo parallel copper conductors are each 0.700 m long. They carry currents of 10.0 A in opposite directions. a) What separation between their centers must have conductors if they are to repel each other with a force of 1.00 N? b) Is this situation physically possible? Explain.arrow_forwardThe figure shows a cross section of three parallel wires each carrying a current of 17.7 A. The currents in wires A and C are out of the paper, while that in wire B is into the paper. If the distance R = 5.0 mm, what is the magnitude of the force on a 4.0 m length of wire C? O a. 75.19 mN O b. 31.33 mN O c. 1.42 mN O d. 0.00 N O e. 25.06 mNarrow_forward
- The figure shows a cross section of three parallel wires each carrying a current of 24 A. The currents in wires B and C are out of the paper, while that in wire A is into the paper. If the distance R = 25.0 mm, what is the magnitude of the force on a 4.0-m length of wire A? 2R Xarrow_forwardThe figure shows a cross section of three parallel wires each carrying a current of 29.6 A. The currents in wires A and Care out of the paper, while that in wire B is into the paper. If the distance R = is the magnitude of the force on a 4.0 m length of wire C? 5.0 mm, what O a. 2.37 mN Ob. 87.62 mN c. 70.09 mN d. 210.28 mN O e. 0.00 N ge Next page onal Videos Jump to.. Introduction to Phys102 You are logged in as AHMAD KHALED SALAMEH ALYASEN 145645 (Log out) PHY102-All-21-2-921020 RIarrow_forwardConsider a wire carrying a current due east in a location where the Earth’s field is due north. A) What is the direction of the force on the wire if both are parallel to the ground? B) Calculate the force per unit length on the wire, in newtons per meter, if the wire carries 19.5 A and the field strength is 2.85 × 10-5 T. C) What would the diameter be, in meters, of copper wire (with density ρ = 8.80 × 103 kg/m3) that would have its weight supported by this force in meters? D) Calculate the resistance per unit length, in ohms per meter, that this copper wire will have. Copper has a resistivity of ρR = 1.72 × 10-8 Ω⋅m. E) Calculate the potential difference per unit length, in volts per meter, of this wire.arrow_forward
- The figure shows a cross section of three parallel wires each carrying a current of 24 A. The currents in wires B and C are out of the paper, while that in wire A is into the paper. If the distance R = 25.0 mm, what is the magnitude of the force on a 4.0-m length of wire A?arrow_forwardZero to 1: Two very long, parallel wires are separated by d = 0.015 m. The first wire carries a current of I1 = 0.35 A. The second wire carries a current of I2 = 0.45 A. A) Express the magnitude of the force between the wires per unit length, f, in terms of I1, I2, and d. B) Calculate the numerical value of f in N/m. C) Is the force repulsive or attractive? D) Express the minimal work per unit length needed to separate the two wires from d to 2d. E) Calculate the numerical value of w in J/m.arrow_forwardTwo infinitely long parallel wires are at a distance of 5.0 cm apart. If the wires carry a current of 5.1A, what is the exchanged force per meter between the wires ( in units of uN )? Select one: O A. 104.0 O B. 135.3 O C. 83.2 O D. 59.8 O E. 122.2 Next parrow_forward
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON