Concept explainers
One long wire carries current 30.0 A to the left along the x axis. A second long wire carries current 50.0 A to the right along the line (y = 0.280 m, z = 0). (a) Where in the plane of the two wires is the total magnetic field equal to zero? (b) A particle with a charge of −2.00 μC is moving with a velocity of
(a)
The location where total magnetic field is zero.
Answer to Problem 14P
The location where total magnetic field is zero is
Explanation of Solution
Given info: Current flowing through the first wire is
Formula to calculate magnetic field due to first wire is,
Here,
Formula to calculate magnetic field due to second wire is,
Here,
Total magnetic field given by both wire is,
Substitute
Substitute
Substitute
Thus, the location where total magnetic field is zero is
Conclusion:
Therefore, the location where total magnetic field is zero is
(b)
The magnitude of vector magnetic force.
Answer to Problem 14P
The magnitude of vector magnetic force is
Explanation of Solution
Given info: charge on particle on particle is
Formula to calculate total magnetic field is,
Substitute
Formula to calculate force acting on particle is,
Here,
Substitute
Hence, magnitude of vector magnetic force is
Conclusion:
Therefore, magnitude of vector magnetic force is
(c)
The magnitude of vector electric field.
Answer to Problem 14P
The magnitude of vector electric field is
Explanation of Solution
Formula to calculate electric field is,
Here,
Substitute
Hence, magnitude of vector electric field is
Conclusion:
Therefore, magnitude of vector electric field is
Want to see more full solutions like this?
Chapter 30 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
Additional Science Textbook Solutions
College Physics: A Strategic Approach (3rd Edition)
Genetics: From Genes to Genomes
Chemistry: Atoms First
Cosmic Perspective Fundamentals
Chemistry & Chemical Reactivity
Fundamentals Of Thermodynamics
- A piece of silicon semiconductor has length L=0.01cm and cross-section in a square shape with an area of A=5×10−4cm2 . The semiconductor is doped with 1012cm−3 Phosphorus atoms and 1017cm−3 Boron atoms. An external electric field E=1.5×104N/C is applied to the silicon piece along the length direction, through the cross section. What is the total current in the silicon at T=300K? Assume the mobility of silicon is 1400cm2V−1s−1 for electrons and 450cm2V−1s−1 for holes, respectively. Assume the intrinsic carrier concentration in silicon is 1010cm−3 . Give your answer in mA, rounded to 3 significant figures. Just enter the number, nothing else.arrow_forwardAn impurity with a charge of 2e is placed in a three-dimensional metal. Assume that the Friedel sum rule holds for this system, and only the scattering phase shifts from the electrons contribute to this sum (we don't need to consider ion phase shifts). This metal has a spherical Fermi surface with Fermi wave vector kF . The only degeneracy for the electrons at the Fermi surface is spin (two-fold) and angular momentum ( 2l+1 for each angular momentum l ). Ignore scattering for l>2 and assume that the scattering doesn't depend on the spin degree of freedom. Denote the scattering phase shift at the Fermi wave vector in the l -th angular momentum channel as δl(kF) . If δ0(kF)=11π31 , and δ1(kF)=π29 , what is δ2(kF)? Round your answer to three significant figures. Just enter the number, nothing else.arrow_forwardA pilot with a mass of 75 kg is flying an airplane at a true airspeed of 55m/s in air that is still relative to the ground. The pilot enters a coordinated turn of constant bank angle and constant altitude, and the pilot experiences an effective weight of 1471.5N normal to the wings of the plane. What is the rate of turn (in degrees per second) for the aircraft? Round your answer to three significant figures. Just enter the number, nothing else.arrow_forward
- Imagine you are out for a stroll on a sunny day when you encounter a lake. Unpolarized light from the sun is reflected off the lake into your eyes. However, you notice when you put on your vertically polarized sunglasses, the light reflected off the lake no longer reaches your eyes. What is the angle between the unpolarized light and the surface of the water, in degrees, measured from the horizontal? You may assume the index of refraction of air is nair=1 and the index of refraction of water is nwater=1.33 . Round your answer to three significant figures. Just enter the number, nothing else.arrow_forwardRed, yellow, green, and blue light with wavelengths of λred=700 nm , λyellow=580 nm , λgreen=520 nm , and λblue=475 nm are directed at a slit that is 20 μm wide at normal incidence. The light hits a screen 1 m behind the slit. Which color of light will have an interference minimum closest to a point 10 cm away from its central maxima? You may assume the small angle approximation sinθ≈tanθ≈θ for angles smaller than 10∘ . Just enter the wavelength of that color in nm, nothing else.arrow_forwardIn the circuit shown, the switch is initially open and the capacitor isuncharged. What will be the current through R1 the instant after the switch isclosed? Take V=10 V, R1 = 20 W, R2 = 20 W, R3 = 10 W and C = 2 mF.arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning