PHY102
3
PHY102: Electricity and Magnetism Homework 3 PART-A Q1.In the given figure, the cube is 40.0 cm on each edge. Four straight segments of wire-ab, bc, cd, and da—form a closed loop that carries a current I =5.00 A, in the direction shown. A uniform magnetic field of magnitude B = 0.020 0 T is in the positive y direction. Determine the magnitude and direction of the magnetic force on each segment. Q2. A rectangular coil consists of N =100 closely wrapped turns and has dimensions a =0.400 m and b = 0.300 m.The coil is hinged along the y axis, and its plane makes an angle Φ= 30.0° with the x axis . What is the magnitude of the torque exerted on the coil by a uniform magnetic field B = 0.800 T directed along the x axis when the current is I =1.20 A in the direction shown? What is the expected direction of rotation of the coil? Q3. A flat ribbon of silver having a thickness t =0.200 mm is used in a Hall-effect measurement of a uniform magnetic field perpendicular to the ribbon, as shown in Figure. The Hall coefficient for silver is R H = 0.840 x10 -10 m 3 /C. (a) What is the density of charge carriers in silver? (b) If a current I =20.0 A produces a Hall voltage ΔV H =15.0 µV, what is the magnitude of the applied magnetic field?
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Transcript of PHY102
PHY102: Electricity and Magnetism
Homework 3
PART-A
Q1.In the given figure, the cube is 40.0 cm on each edge. Four straight segments of wire-ab, bc, cd, and da—form a closed loop that carries a current I =5.00 A, in the direction shown. A uniform magnetic field of magnitude B = 0.020 0 T is in the positive y direction. Determine the magnitude and direction of the magnetic force on each segment.
Q2. A rectangular coil consists of N =100 closely wrapped turns and has dimensions a =0.400 m and b = 0.300 m.The coil is hinged along the y axis, and its plane makes an angle Φ= 30.0° with the x axis . What is the magnitude of the torque exerted on the coil by a uniform magnetic field B = 0.800 T directed along the x axis when the current is I =1.20 A in the direction shown? What is the expected direction of rotation of the coil?
Q3. A flat ribbon of silver having a thickness t =0.200 mm is used in a Hall-effect measurement of a uniform magnetic field perpendicular to the ribbon, as shown in Figure. The Hall coefficient for silver is RH = 0.840 x10-10m3/C. (a) What is the density of charge carriers in silver? (b) If a current I =20.0 A produces a Hall voltage ΔVH =15.0 µV, what is the magnitude of the applied magnetic field?
Part-B
Q4 A uniform magnetic field of magnitude 0.150 T is directed along the positive x axis. A positron moving at 5.00 x106 m/s enters the field along a direction that makes an angle of 85.0° with the x axis . The motion of the particle is expected to be a helix. Calculate (a) the pitch p and (b) the radius r of the trajectory.
Q5. A single-turn square loop of wire, 2.00 cm on each edge, carries a clockwise current of 0.200 A. The loop is inside a solenoid, with the plane of the loop perpendicular to the magnetic field of the solenoid. The solenoid has 30 turns/cm and carries a clockwise current of 15.0 A.Find the force on each side of the loop and the torque acting on the loop.
Q6. In Figure , both currents in the infinitely long wires are in the negative x direction. (a) Sketch the magnetic field pattern in the yz plane. (b) At what distance d along the z axis is the magnetic field a maximum?
