An infinitesimal elementdl = dzkis located at the origin (x, y, z) = (0, 0, 0) with a current I flowing along the direction of dl. What is the infinitesimal magnetic field dBat point (-1,1,1) due to this element?
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- A segment of wire carries a current of 20 Aalong the x axis from x = −6 m to x = 0 andthen along the z axis from z = 0 to z = 6.5 m.In this region of space, the magnetic field isequal to 24 mT in the positive z direction.What is the magnitude of the force on thissegment of wire?Answer in units of N.A flat, circular disk of radius R is uniformly charged with total charge Q. The disk spins at angular velocity w about an axis through its center. What is the magnetic field strength at the center of the disk?The figure below illustrates a cross section of 4 very long conductors carrying identical currents (11=I2=I3=I4). Initially all four wires are at a distance of d = 15 cm from the origin, point a, where they create a magnetic field Bnet: a) Sketch all B components and the resulting Bnet at the origin point a. b) Now we need to rotate Bnet by 30 degrees counterclockwise, which conductor (choose only one) should be moved along either the x or y axis? And by how much? I1 d d I4 I2 a id (X) I3 Related equations I |B| = Ho T; µo = 4t (10-7) Tm/A 2nd Directions of the above equations are determined using the right hand rule.
- A proton moves along the y-axis with vy = -4.05E+6 m/s. As it passes the origin, what is the magnetic field strength (in T) at (x,y,z) = (+2.62 cm, 0 cm, 0 cm)?pls take ur timedB = The vector 7 points from the source (the current, or location S) to the location of interest (P). What is the y component of the "unit vector", in meters? Ho Idlxf 4T p2 This problem checks your understanding of the term in the equation for the magnetic field due to a small "segment" of current, Consider a small "piece" of current (perhaps in a wire) at a location $ whose coordinates are (6 m, 6 m, 7 m). We would like to find the magnetic field at a location P whose coordinates are (4 m, 2 m, 9 m).
- Fields of an electron At a particular instant a proton is at the origin, moving with velocity m/s. At this instant: (a) What is the electric field at location m, due to the proton? E = N/C (b) What is the magnetic field at the same location due to the proton? B = <A loop in the form of an equilateral triangle with side L is in the first quadrant of the xy plane with one of the vertices at the origin and one of the sides on the x axis. Obtain the magnetic force on each side of the triangle if a current I passes through the loop and the applied magnetic field is given by Bo = (Box)i + (Bo)k, with Bo> 0. What is the total force on the loop? Obs: the magnetic field it's not defined in j.A long straight wire carries 4A out of the page as pictured. A -10 µC particle, 2cm away from the current, travels upwards at a speed v = 2x106 m/s. (a) Calculate the magnetic field B, in components, at the location of the charge. (b) Calculate the magnetic force (vector) on the particle. a W
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