A charged particle is assigned an initial velocity vị = 5x103 in a uniform magnetic field, and it circles with a period of T = 20s. If the particle is assigned an initial velocity of v2 = 8x10 in the same direction, %3D what will the period of the motion be?
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- 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 = 20.0°, the radius of the arc is 0.700 m, and the current is 5.00 A, what are the magnitude (in nT) and direction of the field produced at P? magnitude direction 2.49 X Apply the Biot-Savart law. What will be the contributions of the segments of wire along the straight-line sections? Hint: what is ds x Î for each segment? nT into the screen Need Help? Submit Answer Read ItA long, straight, hollow wire with inner radius 3.0 mm and outer radius 8.ó mm has 2.4 A of current passing through, uniformly distributed throughout its cross-sectional area. Determine the magnitude of the magnetic field by the wire a radial distance of 6.3 mm from its axis. Give your answer in units of µT.The magnitude of the magnetic field a distance of l away from a long, straight current carryingwire is B. How far from the wire is the magnitude of the magnetic equal to 1/2B?
- An electron is traveling with a constan velocity vo in the presence of a uniform electric mg field E-Ek, where E- e (Here, m denotes the mass of the electron and e denotes its charge. g denotes the acceleration due to gravity). Gravity acts in the -Z direction. At t=0, when the electron is at the origin, a uniform magnetic field BB+BJ is switched on. Here. B, and B, are fixed positive BB. The coordinates of the point where the electron intersects the X-Y plane constants and B for the first time after t=0 are given by: 2amy B Zamy BB e (A) (C) 2 e B 2AMY, B B (B) (D) 2amv, B.B. e B 2rum BB B Lamy B.B B 2am B BA charged particle moves through a velocity selector at constant velocity. The velocity selector is configured with "crossed" electric and magnetic fields of magnitude E = 1.50 x 104 N/C and B = 0.4 T. %3D Hint a. What is the velocity of the charged particle? Velocity of the charged particle is x 104 m/s. b. When the electric field is turned off, the charged particle travels in a circular path of radius 6 mm, as it travels through the magnetic field (still at B = 0.4 T). What is the mass-to-charge ratio of the particle? Hint for (b) Mass-to-charge ratio of the part is kg/C. (Use the "E" notation to enter your answer in scientific notation. For example, to enter 3.14 × 10´ 12".) - 12 enter "3.14E-(unrealistic) E/M Forces 6. A particle of charge q = 0.25C and mass m = 1.0kg is moving with a velocity of v = (2,0,0)m/s. The (8,8,8)N/C and a magnetic field of B = (0,0, –2)T. charged particle finds itself in an electric field of E What will be the initial vector acceleration of the particle?
- Two long straight wires carry currents perpendicular to the xy plane. One carries a current of la = 17 A and passes through the point x = 5 cm on the x axis. The second wire has a current of Ig = 56 A and passes through the point y = 8 cm on the y axis. What is the magnitude of the resulting magnetic field at the origin? Write your answer in micro-tesla.An electron in a magnetic field moves along a circle with a radius of 25.4 m with a speed that follows: v(t)=V0e−bt where b = 0.56 s-1and V0 = 170 m/s. I need to find the angular acceleration at t=3.7s, but I don't know how I'm supposed to get that becuase the formula that we have says that it is the second derivative of angular position, but when I calculate angular position all I get is 6.57516 radians. I don't understand how I'm supposed to take a derivative of that since it doesn't have any variables. I don't know if it is needed for this, but I already calculated the centripetal acceleration as 18.0446m/s^2Chapter 28, Problem 020 An electron is accelerated from rest through potential difference V and then enters a region of uniform magnetic field, where it undergoes uniform circular motion. The figure gives the radius r of that motion versus V¹/2. The vertical axis scale is set by rs= 4.0 mm, and the horizontal axis scale is set by V¹/2= 32.9 V¹/2. What is the magnitude of the magnetic field? r (mm) VI/2 V¹/2 (¹/2)
- A charged particle is introduced into a uniform magnetic field Bz = 0.5 mTesla with an initial velocity vx = 1 x 106 m/s. It’s subsequent trajectory describes a circle with radius r = 2.4 cm. What is the specific charge q/m of this particle in terms of e/m = 1.67 x 1011C/kg? Select one: a. 2e/m b. 3e/m c. e/3m d. e/2m9. An infinite sheet of current lying in the yz plane carries a surface current of linear density J, (i.e. amps/m). The current is in the positive z direction and J; represents the current per length measured along the y axis. Prove that the magnetic field near the sheet is parallel to the sheet and perpendicular to the current direction, with a magnitude of Ho Js / 2.The figure shows the cross section of a long conducting cylinder with inner radius a= 2cm and outer radius b-4cm. the cylinder carries a current out of the page and the current density in the cross section is given by j=cr^2 with c=3x10^6 A/m^4 and r in meters What is the magnetic field B at a point 3 cm from the central axis of the cylinder?