At a particular instant, a proton, far from all other objects, is located at the origin. The proton is traveling with velocity (-1 x 107,0,0) m/s. Consider the electric and magnetic fields at observation point (8 x 10-7,8 × 10-7,0) m caused by this proton. (Use k = 8.988E9 and charge of proton = 1.6E-19) A. What is the E field at the observation point? <0.0.0) B. What is the B field at the observation point? (0-0-0)T
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- A rocket zooms past the earth at v = 2.0 x 10 m/s. Scientists on the rocket have created the electric and magnetic fields shown in the figure. (Figure 1) Assume that B=0.60 T and E = 6.0x105 V/m. Figure B E 2.0 × 10 m/s 1 of 1 ▼ Part A What is the electric field strength measured by an earthbound scientist? Express your answer using two significant figures. VE ΑΣΦ Submit Part B Up Down O Left What is the direction of the electric field measured by an earthbound scientist? B = Request Answer Right Into the page Submit Out of the page Part C Stad Request Answer ? V/m What is the magnetic field strength measured by an earthbound scientist? Express your answer using two significant figures. VE ΑΣΦ LITER ? TAt a particular instant, a proton, far from all other objects, is located at the origin. The proton is traveling with velocity (-8 × 106, 0, 0)m/s. Consider the electric and magnetic fields at observation point (8 × 10-¹⁰,5 × 10-¹0,0)m caused by this proton. What is the electric field at the observation point? 1.37E9 1.37×10⁹ 9 1.37E9 X 1.37×10⁹ 9 0 0A cyclotron (figure) designed to accelerate protons has an outer radius of 0.333 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 572 V each time they cross the gap between the dees. The dees are between the poles of an electromagnet where the field is 0.720 T. The black, dashed, curved lines Alternating AV represent the path of the particles. -Dg After being accelerated, the particles exit here. -North pole of magnet (a) Find the cyclotron frequency for the protons in this cyclotron. 1.04e33 x rad/s (b) Find the speed at which protons exit the cyclotron. m/s (c) Find their maximum kinetic energy. ev (d) How many revolutions does a proton make in the cyclotron? revolutions (e) For what time interval does the proton accelerate? awranca Barke kay Nationallab
- (a) A velocity selector consists of electric and magnetic fields described by the expressions E = Ek and B = Bj, with B = 24.0 mT. Find the value of E (in kV/m) such that a 780 eV electron moving in the negative x-direction is undeflected. 3.97e24 How do you determine the speed of the electron if you know its kinetic energy? kV/m (b) What If? For the value of E found in part (a), what would the kinetic energy of a proton have to be (in MeV) for it to move undeflected in the negative x-direction? MeVy Figure 3: 7= xi+ yj+zk = pcos cos oi + p sin oj + zk = pp+ zk and i = dr dt -p sin oi + p cos oj + k = po + zk . Notice that cyclotron angular velocity we = do COS is a negative constant, i.e. in the figure the particle is circulating clockwise. 3. Consider a charged particle, q, in the presence of a magnetic field B with velocity i = it + üz = ü + ij at position relative to origin experiencing a magnetic force qü x B. From the second law it follows that the kinetic energy of the particle remains constant[ see figure 3] : d mv2 m[v² + v?] du - 0 = dt (a) : qü x B m ä - i [gữ x B] = ū. [m- = constant (True, False) dt 2 (b) : A [B x Č) Č [Ä x B] = B IC x A] (True, False)A particle is launched from the origin on the ground with an initial velocityv = (2.40 m/s) x+ (2.00 m/s) y. The particle falls freely under earth’sgravitational field.a. Find the angle at which the particle is launched at origin. (angle made topositive x axis).b. How far does the particle move in the x direction?c. What is the particle’s velocity at this time?d. How long it stays in the air