A long cylindrical non-magnetic conductor of radius Ro, whose axis coincides with the ê-axis, carries a uniformly distributed current Io in the +î direction. A cylindrical hole is now drilled out of the conductor, parallel to the axis, so that the cross section is on the right. The centre of the hole is at x = a, and the radius is b. Determine H inside the hole. R. a b
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- Consider two protons trapped on the same geomagnetic field line. One proton has kinetic energy 10 eV and the other has kinetic energy of 10 keV. Which statement about the magnetic field strength at their respective mirror points is correct? A. B10 eV < B10 keV B. B10 eV > B10 keV C. B10 eV = B10 keV D. Not enough information is givenPr4. A solid, long insulating cylinder of radius R is uniformly charged over the entire volume, its volume charge density is e. The cylinder rotates with constant angular velocity w around its symmetry axis. Find the direction and magnitude of the magnetic field created by the rotating cylinder as a function of the distance r measured from the symmetry axis (r < R). Hint: Use Ampere's law.Pr1. The figure shows the cros-section of a long, straight, cylindrical coil (solenoid) of radius r = 10 cm. The number of turns per unit length is n = 500 m-1. A direct current I = 1,0 A flows clockwise in the solenoid. A charged particle accelerated by a voltage 1000 V enters into the solenoid through a gap between the coils at point A. The velocity of the particle at point A is pointing along the radius. The particle is traveling inside the solenoid in a plane perpendicular to its axis and exits at point C at an angle a = 60° to its initial direction. 60 A a) Determine the sign of the charge of the particle. b) What is the radius of the particle's trajectory? c) Find the charge-to-mass (Q/m) ratio of the particle. (The magnetic permeability of vacuum is µo = 4n · 10-7 Vs/Am.)
- A2.1 mm -diameter copper wire carries a 39 Acurrent (uniform across its cross section). Determine the magnetic field at the surface of the wire. Determine the magnetic field inside the wire 0.50 mm below the surfaceA circular region 19.0 m in radius is filled with an electric field perpendicular to the face of the circle. The magnitude of the field in the circle varies with radius and time as E(r,t) = Arcos(at) where A 1000. V/m2 and -5.00 x 10's. What is the maximum value of the magnetic field at the edge of the region? T5. A long cylindrical conductor of radius R carries a current I. The current density is non- uniform, and is a function of the radius according to J = br, where b is a constant. Find an expression for the magnetic field for both rR (i.e. inside and outside the conductor). Assume that R is measured from the center of the conductor.
- A circular loop rotates at constant speed about an axle through the centerof the loop. Shown is an edge view and defines the angle Φ, which increases from 0° to 360° as the loop rotates.a. At what angle or angles is the magnetic flux a maximum?b. At what angle or angles is the magnetic flux a minimum?c. At what angle or angles is the magnetic flux changing most rapidly?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.(Eigure 1) Assume that B = 1.5 T and E= 1.5x106 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. Π ΑΣΦ E = Submit Part B Up What is the direction of the electric field measured by an earthbound scientist? Down Left B = Request Answer Right Into the page Submit Out of the page Part C Previous Answers Correct ? V/m What is the magnetic field strength measured by an earthbound scientist? Express your answer using two significant figures. ΠΨΕ ΑΣΦ ? TA 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 ? T
- Please write clearlyA closed current path is made from two different circular arcs as shown in the figure below. The larger arc has radius 3.0 cm and covers one quarter of the circle, and the smaller arc has radius 1.0 cm and covers the remaining three quarters of the circle. If the current is 1.5 A going counterclockwise, what is the magnitude of the B-field at the center of the circular arcs? Express your answer to the nearest µT.Magnetic and electric field lines are in many ways similar, with few crucial differences. Which of the properties listed below does NOT apply to both fields? O All of these properties apply to both E and B field lines. The density of lines is proportional to the field strength in that area. Field lines never intersect. Tangent to the line at a point gives you the direction of the field as that point. O Field lines form closed loops.