Practice problems for T3 1. Find the current in the 5 resistors and the potentia
ID: 2035264 • Letter: P
Question
Practice problems for T3 1. Find the current in the 5 resistors and the potential difference between points a and b a. loov A proton moving at 4.00 x 10° m/s through a magnetic field of magnitude 1.70T experiences a magnetic force of magnitude 8.20x 10 N. What is the angle between the proton's velocity and the field? 2. 3. A proton moves perpendicular to a uniform magnetic field B at a speed of 1.00 x 10 m/s and experiences an acceleration of 2.00x 103 m/s in the positive x-direction when its velocity is in the positive z-direction. Determine the magnitude and direction of the field. 4. A proton (charge 1e, mass mol, a deuteron (charge 1e, mass 2mp), and an alpha particle (charge 2e, mass 4m) are accelerated from rest through a common potential difference V. Each of the particles enters a uniform magnetic field B, with its velocity in a direction perpendicular to B. The proton moves in a circular path of radius ro In terms of r determine (a) R, of the circular orbit for the deuteron and (b) the radius r, for the alpha particle 5. A cyclotron designed to accelerate protons has an outer radius of 0.350 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 600 V each time they cross the gap between the dees. The dees are between the poles of an electromagnet where the field is 0.800 T. (a) Find the cyclotron frequency for the protons in this cyclotron. Find (b) the speed at which protonsexit the cyclotron and (c) their maximum kinetic energy.
Explanation / Answer
1] Equivalent resistance = 10*40/[10+40] + 10*40/[10+40] + 4 = 8+8+4 = 20 ohm
current through battery = 100/20 = 5 A
current through 5 ohm resistors = 5*8/10 = 4 A answer
Va - Vb = iR = 4*5 = 20V answer
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