Problem 6: As shown in the figure, a rod completes a circuit as it slides with constant elocity, u, across parallel conducting rails that are a distance L apart. The velocity vector is in the ame plane as the rails and makes an angle with them. A uniform magnetic field, B, is perpendicular the plane that includes the rails and the velocity vector. B ● T. L ● ● ● ●
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- A current I is passed through a wire. A second wire of length L is moving perpendicular to the magnetic field generated by the first wire (see sketch below) with velocity v at a distance d. Consider the magnetic field B to be constant over the range / of motion of the second wire (i.e. d > 1). You need to calculate the potential generated between the ends of the second wire. Please select statements that would describe your approach to solving the problem. Wire 1 Wire 2 d a. Use an expression for the electromotive force (EMF) induced by the magnetic field. b. Use the expression for the magnetic force between two current-carrying wires. C. Use the expression for the magnetic field of a current-carrying wire.The uniform 30.0 mT magnetic field in the figure points in the positive z-direction. An electron enters the region of magnetic field with a speed of 5.50 x 106 m/s and at an angle of 30° above the xy-plane. (Figure 1) Figure X Z 000 30° 12 1 of 1 Part A Find the radius r of the electron's spiral trajectory. Express your answer with the appropriate units. I JA Value Submit Part B DO Request Answer Find the pitch p of the electron's spiral trajectory. Express your answer with the appropriate units. μÅ Value Units Submit Request Answer Return to Assignment Units www ? Provide Feedback ?The figure shows a cross section of several conductors carrying currents through the plane. The currents have the magnitudes l₁ = 4 A, 1₂ = 6 A and 13 = 2A. The directions of the currents is shown at the picture. Four paths labeled a through d are shown. What is the line integral of the magnetic field across each path? Each integral involves going around the path in the counter clockwise direction. 1. What is the line integral of the magnetic field across path a? Enter the missing part in the expression Ho 2. What is the line integral of the magnetic field across path b? Enter the missing part in the expression Ho'l 3. What is the line integral of the magnetic field across path c? Enter the missing part in the expression Hol 4. What is the line integral of the magnetic field across path d? Enter the missing part in the expression Ho 110 b 120 d ) ) ) )
- A wire of length = 0.35 m is conducting a current of i = 7.5 A toward the top of the page and through a B = 3.0 T uniform magnetic field directed into the page, as shown in the figure. What is the magnitude F of the magnetic force on the wire? F = What is the direction of the magnetic force on the wire? ОО left into the screen up right down out of the screen N BA square wire loop is on the x and y plane with the center is located on the origin (zero), and the sides are 20cm long. The wire has a 5.0A current traveling clockwise. What is the magnetic field vector at the origin? What is the magnetic field vector at x=5cm, y=0cm? What is the magnetic field vector at x=15cm, y=0cm?Consider the current-carrying wire shown in the figure. The current creates a magnetic field at the point P, which is the center of the arc segment of the wire. If 0 = 30.0°, the radius of the arc is 0.800 m, and the current is 5.00 A, what are the magnitude (in nT) and direction of the field produced at P? magnitude 3.272*10**-7X Did you forget to convert from T to nT? nT
- Consider a short wire of length L, carrying a current I to the left. Define coordinates so that the wire is along the à axis, the current flows in the - direction, the y axis is vertical in the plane of the page and the 2 axis points out of the page. Which of the following expressions is an ap- proximate expression for the magnetic field at a point P on the y axis very close to the wire, i.e. a distance y < L below the mid- point of the wire? 1. B= 2(y2 + L2) O 2. B 0 3. B Hol 2ny Hol 4Vy2 + L² 4. B = Hol 4Ty 5. B = %3D O 6. B=-00 O, B = 47 (y2 + L2) 8. B = 27 Vy? + L2 40IL 2ny? 9. B = 10. B – _ 40! 2nyA straight conductor carrying a current i = 3.6 A splits into identical semicircular arcs as shown in the figure. What is the magnetic field at the center C of the resulting circular loop, which has a radius of 4.0 cm? Number i UnitsA square loop of wire with sides of 20.0cm is half in and half out of a uniform magnetic field which points out of the page as shown. The loop is moving with a speed of 3.00m/s and the strength of the magnetic field is 0.100Tesla. The total resistance of the loop is 4.00Ω. Find the magnitude and directionof the current if the loop is moving in the following directions. a.in the +x direction b.in the -x direction c.in the +y direction d.in the -y direction
- A straight conductor carrying a current i = 6.0 A splits into identical semicircular arcs as shown in the figure. What is the magnetic field at the center C of the resulting circular loop, which has a radius of 5.1 cm? Number i UnitsA wire of length e = 0.35 m is conducting a current of i = 7.5 A toward the top of the page and through a B = 6.0T uniform magnetic field directed into the page, as shown in the figure. What is the magnitude F of the magnetic force on the wire? F = What is the direction of the magnetic force on the wire? up into the screen left right out of the screen down