2. (a)At what speed (in m/s) will a proton move in a circular path of the same radius as an electron that travels at 7.45 ✕ 106 m/s perpendicular to the Earth's magnetic field at an altitude where the field strength is 1.20 ✕ 10−5 T?m/s(b)What would the radius (in m) of the path be if the proton had the same speed as the electron?m(c)What would the radius (in m) be if the proton had the same kinetic energy as the electron?m(d)What would the radius (in m) be if the proton had the same momentum as the electron?m 3. The magnetic field in a region of space is specified by its x, y, and z components which are respectively Bx = 0.145 T, By = 0.159 T, and Bz = 0.200 T. If a 30.0-cm wire carrying a current of 3.40 A is oriented along the z-axis with the current in the −z direction, determine the magnitude and direction of the force acting on the wire.magnitude Ndirection ° counterclockwise from the +x-axis4. A 230-turn rectangular loop that is 24 cm long and 18 cm wide is placed in a 0.90-T magnetic field. If the maximum torque is 21 N · m, determine the current in the loop.A **Title: Understanding Magnetic Force on a Positive Charge****Introduction:**This exercise explores the direction of the magnetic force on a positive charge moving in different magnetic field configurations. Using the right-hand rule, we can determine the force direction for each scenario.**Diagrams and Explanations:**Six scenarios (a, b, c, d, e, f) are presented, each depicting a positive charge moving in a magnetic field. The fields are represented with arrows or symbols (dots and crosses):- **(a)** - Field: Directed into the page (denoted by crosses). - Velocity (\(\vec{v}\)): Downward. - Dropdown: Select the direction of force.- **(b)** - Field (\(\vec{B}\)): Rightward. - Velocity (\(\vec{v}\)): Upward. - Dropdown: Select the direction of force.- **(c)** - Field: Directed into the page (denoted by crosses). - Velocity (\(\vec{v}\)): Rightward. - Dropdown: Select the direction of force.- **(d)** - Field (\(\vec{B}\)): Leftward. - Velocity (\(\vec{v}\)): Leftward. - Dropdown: Select the direction of force.- **(e)** - Field (\(\vec{B}\)): Upward. - Velocity (\(\vec{v}\)): Into the page (denoted by a circle with a cross). - Dropdown: Select the direction of force.- **(f)** - Field (\(\vec{B}\)): Leftward. - Velocity (\(\vec{v}\)): Into the page (denoted by a circle with a dot). - Dropdown: Select the direction of force.**Selection Mechanism:**Each case includes a dropdown menu for selecting the direction of the magnetic force based on the right-hand rule. The rule states that if you point your thumb in the direction of the velocity of a positive charge and your fingers in the direction of the magnetic field, the palm faces in the direction of the force.**Conclusion:**Understanding how magnetic forces act on charged particles is crucial in fields like physics and engineering. This exercise helps visualize the application of the right-hand rule in determining force direction. **Transcription for Educational Website:****Title: Determining the Direction of Magnetic Force on a Negative Charge****Introduction:**In this exercise, we explore the direction of the magnetic force on a negative charge that moves in various orientations within a magnetic field. The task involves analyzing six different scenarios depicted in the figures below.---**Figures and Descriptions:****Figure (a):**- Description: A vertical magnetic field \( \mathbf{B}_{\text{out}} \) is directed outward from the page, represented by dots. A negative charge moves downward with velocity \( \mathbf{v} \).- Diagram Elements: - Magnetic field (\( \mathbf{B}_{\text{out}} \)) represented by dots. - Velocity (\( \mathbf{v} \)) represented by an arrow pointing downward.- Task: Select the direction of the magnetic force from the dropdown menu provided.**Figure (b):**- Description: A horizontal magnetic field \( \mathbf{B} \) runs left to right. A negative charge moves upward with velocity \( \mathbf{v} \).- Diagram Elements: - Magnetic field (\( \mathbf{B} \)) represented by horizontal arrows pointing to the right. - Velocity (\( \mathbf{v} \)) represented by an upward arrow.- Task: Choose the direction of the magnetic force.**Figure (c):**- Description: A magnetic field \( \mathbf{B}_{\text{in}} \) is directed inward into the page, represented by crosses. A negative charge moves to the right with velocity \( \mathbf{v} \).- Diagram Elements: - Magnetic field (\( \mathbf{B}_{\text{in}} \)) represented by crosses. - Velocity (\( \mathbf{v} \)) represented by a rightward arrow.- Task: Determine the direction of the magnetic force.**Figure (d):**- Description: A horizontal magnetic field \( \mathbf{B} \) runs from left to right. A negative charge moves to the left with velocity \( \mathbf{v} \).- Diagram Elements: - Magnetic field (\( \mathbf{B} \)) represented by rightward arrows. - Velocity (\( \mathbf{v} \)) represented by a leftward arrow.- Task: Select the magnetic force's direction.**Figure (e):**- Description: A vertical

Since You have asked multiple questions with multiple sub parts, we would only solve the first…

Answered: 2. (a) At what speed (in m/s) will a…

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)...