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- Check Your Understanding A uniform magnetic field of magnitude 1.5 T is directed horizontally from west to east, (a) What is the magnetic force on a proton at the instant when it is moving vertically downward in the field with a speed of 4 x 107 m/s? (b) Compare this force with the weight w of a proton.A long-rigid wire lies along the x-axis and cairns a current of 2.5 A in the positive x-direction. Around the wire is the magnetic field B=2.0i+5.0x2j, With x in meters and B in millitesla. Calculate the magnetic force on the segment of wire between x=2.0m and x=4.0m .A proton travels with a speed of 3.00 106 m/s at an angle of 37.0 with the direction of a magnetic field of 0.300 T in the +y direction. What are (a) the magnitude of the magnetic force on the proton and (b) its acceleration?
- Check Your Understanding The wire loop forms a full circle of radius R and current I. What is the magnitude of the magnetic field at the center?A cosmic-ray electron moves at 7.5 × 106 m/sinches perpendicular to Earth’s magnetic field at an altitude queer the field strength is 1.0 × 105T. What is the radius of the circular path the electron follows?Is B constant in magnitude for points that lie on a magnetic field line?
- An electron is projected into a uniform magnetic field (0.5i+0.8k)T with a velocity of (3.0i+4.0j)106 m/s . What is the magnetic force on the electron?The two long, parallel wires shown in the accompanying figure carry currents in the same direction. If I1= 10 A and I2= 20 A, what is tire magnetic field at point P?A 1.0-rn-long segment of wire lies along the x-axis and carries a current of 2.0 A in the positive x-direction. Around the sire Is the magnetic field of (3.0i4.0k)103T. Find the magnetic force on this segment.
- A 0.50-kg copper sheet drops through a uniform horizontal magnetic field of 1.5 T, and it reaches a terminal velocity of 2.0 m's. (a) What is the net map,-, eh: force on the sheet after it reaches terminal velocity? (b) Describe the mechanism responsible for this force, (c) How much power is dissipated as Joule heating while the sheet moves at terminal velocity?Consider the wires described in Problem 63. Find the magnetic force per unit length exerted on wire B.A laboratory electromagnet produces a magnetic field of magnitude 1.50 T. A proton moves through this field with a speed of 6.00 106 m/s. (a) Find the magnitude of the maximum magnetic force that could be exerted on the proton. (b) What is the magnitude of the maximum acceleration of the proton? (c) Would the field exert the same magnetic force on an electron moving through the field with the same speed? (d) Would the electron undergo the same acceleration? Explain.