A straight conductor carrying a current i = 9.7 A splits into identical semicircular arcs as shown in the figure. What is the magnetic field at the center C of the resulting circular loop, which has a radius of 3.7 cm?
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- An electron in a TV CRT moves with a speed of 6.0107 m/s, in a direction perpendicular to Earth's field, which has a strength of 5.0105 T. (a) What strength electric field must be applied perpendicular to the Earth’s field to make the election moves in a straight line? (b) If this is done between plates separated by 1.00 cm, what is the voltage applied? (Note that TVs are usually surrounded by a ferromagnetic material to shield against external magnetic fields and avoid the need for such a collection,)A long, straight, cylindrical conductor contains a cylindrical cavity whose axis is displaced by n from the axis of the conductor, as shown in the accompanying figure. The current density in the conductor is given by J=J0k, where J0 is a constant and k is along the axis of the conductor. Calculate the magnetic field at an arbitrary point P in the cavity by superimposing the field of a solid cylindrical conductor with radius R1and current density Jonto the field of a solid cylindrical conductor with radius R2and current density J . Then use the fact that the appropriate azimuthal unit vectors can be expressed as 1=kr1and 2=kr2 to show that everywhere inside the cavity the magnetic field is given by the constant B=120J0ka , where a=r1r2 and r1=r1r1 is the position of P relative to the center of the conductor and r2=r2r2 is the position of P relative to the center of the cavity.A proton finds itself doing inform circular motion of 1.2 cm rudius due to a uniform 4.5 tesla magnetic field perpendicular to the plane of the circle. a. at what uniform speed is the proton moving? b. what is the frequancy of its cyclotron motion, in hertz?
- ) In the figure below, the current in the long, straight wire is I1 = 6.00 A and the wire lies in the planeof the rectangular loop, which carries the current I2 = 10.0 A. The dimensions are c = 0.100 m, a =0.150 m, and l = 0.500 m. Find the magnitude and direction of the net force exerted on the loop by themagnetic field created by the wire.a) find the force on the left hand side of the loop firstb) find the force on the right hand side of the loop secondc) find the net force (be careful about the directions)A very long, straight current-carrying wire is bent at the middle two different ways, sothat it takes the shapes depicted in figures a) and b). Find the direction and magnitude of themagnetic field in both cases at the center C of the semicircle (of radius R = 10 cm), if the currentflowing in the wire is I = 2 A.a. Design a circular conductor in XY plane to generate amagnetic dipole moment 100 mA meter 2 square along Zaxis.b. How much magnetic flux density can be obtained from thisconductor along Y axis at a distance of 10 meter? Usevalue of permeability of space 4πx 10 -7 .
- A wire with length of 3.0 cm carries a 2.0 A in the vertical direction. The rest of the wireis shielded so it does not add to the magnetic field produced by the wire. Calculate themagnetic field which is 2 meter from the wire in the X-direction.An ideal toroidal solenoid has innerradius r1 = 15.0 cm and outer radius r2 = 18.0 cm. The solenoid has250 turns and carries a current of 8.50 A. What is the magnitude of themagnetic field at the following distances from the center of the torus: 16.0 cmAt a distance n from a point cherge the Mognitude of its elechric field and potuti al are Ej cund V srespecti vely. distan ce 831/2 the Magnitude of its electic ficel Ez and Poteutial Vz are: 內后: G/2 V2 = Vi/2 国 Ezz 25 Vz= 4V, = 4 E, El Eg=4E,
- A proton moving at speed v = 1.00 x 106 m/s enters a region in space where a magnetic fi eld givenby B = (–0.500 T) z exists. The velocity vector of the proton is at an angle θ = 60.0° with respect tothe positive z-axis. a) Analyze the motion of the proton and describe its trajectory (in qualitativeterms only). b) Calculate the radius, r, of the trajectory projected onto a plane perpendicular to themagnetic fi eld (in the xy-plane). c) Calculate the period, T, and frequency, f, of the motion in thatplane. d) Calculate the pitch of the motion (the distance traveled by the proton in the direction ofthe magnetic fi eld in 1 period).An electron is flying into a region with uniform magnetic field pointing into the page. Determine the direction of the electron trajectory(upward or download?) and the radius of the trajectory R.A at rest with potentiol difteren ce of proton is 750 V. Atter being field of mognitude accelerated, it enters a mognetic 1T perpendicular ly. a) Find the velocity ot freid atter which the praton enters Hhe mognetic rt accelerated IS b Find the of the proton moving in the orbitol rodlus mapnetic field.