A proton moving eastward with a velocity of 5.0 km/s enters a magnetic field of 0.20 T pointing northward. What is the magnitude of the force that the magnetic field exerts on the proton? (e = 1.60 × 10-19 C) Hint: Remember the cross product of two vectors rule, this will help you to define the direction for force if needed, you will be using the same formula to calculate Force =F = g(v x B) II
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- PROBLEM 1. As shown in the figure, a uniform magnetic field B points upward, in the plane of the paper. Then the current is turned on in a long wire perpendicular to the paper. The magnetic field at point 1 is then found to be zero. From this information, draw the magnetic field vector at point 2 when the current is on. Draw the vector starting at the black dot. The location and orientation of the vector will be graded. The length of the vector will not be graded. Explain your reasoning. 2• H Wire 1.A single ionized atom, that is deficient one electron, is traveling at in a straight line when it enters a uniform magnetic field of strength 0.750 T. The ion is traveling in the plane of the page, while the magnetic field points into the page. (See the diagram below.) If the mass of the ionized atom is 6.68 x 10-27 kg, what is the frequency in Hz of the resultant circular motion? The charge of a single electron is 1.602 x 10-19 C. a. 7.47 MHz b. 6.33 MHz c. 4.13 MHz d. 3.50 MHz e. .2.86 MHzPlease solve the question correctly and also be sure to give the correct units. Thank you!
- 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! 2nyIn the figure below, point P is at a perpendicular distance a = 13 cm from one end of a straight wire of length L = 15 cm carrying current I = 6 A. (Note that the wire is not long, or infinite.) What are the magnitude and direction of the magnetic field at P? For direction, you can say into or out of the page.A 25 cm rod moves at 2.4 m/s in a plane perpendicular to a magnetic field of strength 0.36 T. The rod, velocity vector, and magnetic field vector are mutually perpendicular, as indicated in the accompanying figure. 25 cm (a) Calculate the magnetic force on an electron in the rod (in N). (Enter the magnitude.) (b) Calculate the electric field in the rod (in V/m). (Enter the magnitude.) V/m (c) Calculate the potential difference between the ends of the rod (in V). V (d) What is the speed of the rod (in m/s) if the potential difference is 1.0 V? m/s
- Please provide what formulas used and explain whyThe diagram above shows segments of two long straight wires, carrying currents. This time I1 = 6.46, I2 = 2.03 A, and the two wires are separated by 1.10 cm. Now consider the charge q = 6.74 x 10^-6 C, located a distance of 6.31 cm to the right of wire I2, moving to the right at speed v = 43.2 m/s. What is the magnitude of the total magnetic force on this charge? 3.34E-09 N 2.00E-09 N 6.95E-09 N 4.17E-09 NConsider the two current-carrying wires in the figure. On the left is a long, straight wire carrying current I. In the same plane, there is a rectangular loop, which carries a current I2. The dimensions of the rectangular loop are shown in the figure, and the left side of the loop is a distance c from the wire. What are the magnitude and direction of the net force exerted on the loop by the magnetic field created by the wire? (Use any variable or symbol stated above along with the following as necessary: Ho, l, and a.) magnitude F = direction ---Select--