The problem involves two long wires carrying currents \( I_1 = 3.0 \, \text{A} \) and \( I_2 = 4.0 \, \text{A} \). These wires are positioned at two corners of an equilateral triangle with each side measuring 1.0 m. The point \( P \) is located at the top corner of the triangle. The positive x-axis is considered parallel to the base of the triangle, pointing to the right, and the positive y-axis is directed upwards.### Diagram Description:The diagram displays an equilateral triangle with equal sides of 1.0 meters. The vertices at the bottom corners are occupied by the currents \( I_1 \) and \( I_2 \), while the top vertex is labeled as point \( P \).### Tasks:a. Calculate the net magnetic field at point \( P \), providing both magnitude and direction. Answers should be given using unit vector notation.b. An electron traveling at a velocity \( \vec{v} = 1500 \, \hat{i} \, \text{km/s} \) is present at point \( P \). Determine the force experienced by the electron due to the magnetic field, again providing the solution in terms of magnitude and direction using unit vector notation.

Currents in 2 long wires are given by I1=3A and I2=4A and they are at the corners of equilateral…

Answered: 3. Two long wires carry currents I, =…

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)...

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The figure below shows two wires carrying currents of I = 5.30 A in opposite directions, separated by a distance d. Assume d = 9.6 cm. a).Find the magnitude (in µT) and direction of the net magnetic field at a point halfway between the wires. b).Find the magnitude (in µT) and direction of the net magnetic field at point P1, 9.6 cm to the right of the wire on the right. c).Find the magnitude (in µT) and direction of the net magnetic field at point P2, 2d = 19.2 cm to the left of the wire on the left. d). What If? Repeat part (a) for the case where both wires carry currents in the same direction, upward in the figure. Find the magnitude (in µT) and direction of the net magnetic field at a point halfway between the wires.
In the figure, point P2 is at perpendicular distance R = 26.9 cm from one end of straight wire of length L= 11.1 cm carrying current i = 0.977 A. (Note that the wire is not long.) What is the magnitude of the magnetic field at P2? P R R L. Number i Units
B2
A segment of wire of total length 2.0 m is formed into a circular loop having 33 turns. If the wire carries a 1.2 A current, determine the magnitude of the magnetic field at the center of the loop. a. 78.08 µT O b. 1487.57 µT O c. 1339.47 µT d. 3027.42 µT e. 2576.57 µT
A solenoid is used to create a 27.0 mT magnetic field at its center. It has a radius of 1.40 cm and a lengthof 40.0 cm. The wire can carry a current of 12.0 A.a. What is the number of turns the solenoid must have?b. What is the total length of wire required to build it?c. If an electron is moving inside the solenoid with a velocity of 5.60 X106 m/s, how much will be theradius of curvature of its path if the magnetic field is perpendicular to its velocity?d. If the same wire is used to build another solenoid with 500 turns and a length of 75.0 cm, how muchwill be the radius of this new solenoid?e. If an external magnetic field acts on the new solenoid with a magnitude of 5.00 µT in a directionperpendicular to its plane, how much will be the net torque exerted on it? Ignore the magnetic fieldcreated by the solenoid itself.
In the figure, point P2 is at perpendicular distance R = 26.0 cm from one end of straight wire of length L = 13.0 cm carrying current i = 0.849 A. (Note that the wire is not long.) What is the magnitude of the magnetic field at P2? P P R R L. Number i 4.245 Units
9. The uniform 30 mT magnetic field in figure points in the positive z-direction. An electron enters the region of magnetic field with a speed of 3.0 x 106 m/s and at an angle of = 30° above the xy-plane. Find the radius r and the pitch p of the electron's spiral trajectory. z AL
A hypothetical charge 26pC with mass 82fg has a speed of 43km/s and is ejected southward entering a uniform magnetic field of unknown magnitude and direction. If the path traced is clockwise, (see image) A. Find the magnitude and direction of the magnetic field that will cause the charge to follow a semicircular path (given the diameter 13m). B. Find the time required for the charge to complete a semi-circular path from point K to point L. C.Find the magnitude and the direction of the magnetic force at point L. What are the given in the problem? What are the unknown variables? What are the equations that you are going to use? Solution and answer for Part A. Solution and answer for Part B. Solution and answer for Part C.
2. A straight horizontal copper rod carries a current of 60.0 A from west to east in a region between the poles of a large electromagnet. In this region there is a horizontal magnetic field toward the northeast (that is, 65° north of east) with magnitude 2.10 T. a. Find the magnitude and direction of the force on a 125-m section of rod. b. While keeping the rod horizontal, how should it be oriented to maximize the magnitude of the force? What is the force magnitude in this case?
1. A magnetic field has a magnitude of 1.50 × 10-³ T, and an electric field has a magnitude of 4.00 × 10³ N/C. Both fields -3 point in the same direction. A positive 2.5 µC charge moves at a speed of 2.50 × 106 m/s in a perpendicular to both fields. Determine the magnitude of the net force that acts on the charge. N ssfánection that is 0 ssf60 sf60 ss 50 ssf6 €60 ssf60 ss
A long straight wire carries a current of 40 A in a region where a uniform external magnetic field has a 30 µT magnitude and is parallel to the current. What is the magnitude of the resultant magnetic field at a point that is 3.5 cm from the wire? a. 230.53 µT b. 77.74 µT с. 65.31 иT d. 428.67 μΤ e. 30.00 µT
A segment of wire of total length 3.0 m carries a 15-A current and is formed into a semicircle. Determine the magnitude of the magnetic field at the center of the circle along which the wire is placed. Select one: a. 1.0 muT b. 9.6 muT c. 1.6 muT d. 4.9 muT

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