A long straight wire of radius R carrying a current I with uniform current density> Let r be an arbitrary distance from the center axis of the wire. What is the magnetic field magnitude inside the wire (r<R) and the correct plot of the magnitude of B outside the wire?
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A long straight wire of radius R carrying a current I with uniform current density> Let r be an arbitrary distance from the center axis of the wire. What is the magnetic field magnitude inside the wire (r<R) and the correct plot of the magnitude of B outside the wire?
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- The figure below shows a cylindrical conductive shell carrying current I to the right. The current density (non-uniform) in the conductor is given by J=c(r−R1) for the region R1<r<R2, where c is a constant. What is the magnitude of the magnetic field at a radial distance rA inside the conductor.Consider a current-carrying wire of length L carrying a current of magnitude I from left to right. What is the magnetic field contribution dB⃗ at point P, with coordinates (x,y), due to the current element dl→ at point A, with coordinates (a,0)? Assume that y is positive.A long cylindrical conductor of radius R carries a current I as shown below left. The current density J, however, is not uniform over the cross section of the conductor but is a function of the radius according to J = br, where b is a constant. Find an expression for the magnetic field B (a) at a distance r1 < R and (b) at a distance r2 > R, measured from the axis.
- In a region a non-uniform magnetic field exists such that Bx = 0, By = 0, and Bz = ax, where a is a constant. At some time t, a wire of length L is carrying a current I is located along the x-axis from origin to x = L. Find the magnetic force on the wire at this instant in time.A long, cylindrical conductor of radius R carries a current I as shown in the figure below. The current density J, however, is not uniform over the cross-section of the conductor but is a function of the radius according to J = 3br^5, where b is a constant. Find an express for the magnetic field magnitude B at the following distances, measured from the axis. (A) r1 < R B= (B) = r2 > R B=Given that a long straight wire of radius R lies along the y axis, and carries a current I in the +y direction. An identical wire parallel to it, a distance D away (distance between the centres of the wires) carries the same current in the opposite direction. Find the total magnetic field between the two wires, at a distance x from the central axis of the first wire , for R < x < D-R. Use this to find the magnetic flux through the thin rectangle of length w and width dx on the diagram.
- Consider a uniform magnetic field of magnitude 0.2 T which is directed along the direction of the positive x axis. A positron, which was accelerated by a potential difference of 1 kV, enters this region of the magnetic field with a velocity v which forms an angle of 85 with the x axis. For this case in which the path that the positron describes is helical, as shown in Figure 1, determine:a) The radius r of the helical path.b) The pitch p of the helical path.A long, straight wire of radius R carries a steady current I that is uniformly distributed through the cross section of the wire (as shown). Calculate the magnetic field a distance r from the center of the wire in the regions r ≥ R and r < R.An electric current 1 A flows from top to bottom from a spherical conductive shell having radius 3 cm. In this case, what is the magnetic field H at distance 1cm from the shell?
- A long straight wire with radius R carries a uniformly distributed current over its cross section. If the current density is J. What is the magnitude of the magnetic field at a distance from the axis of the wire r1 less than R.?in cross section, two long parallel wires spaced by distance d =10.0 cm; each carries 100 A, out of the page in wire 1. Point P is on a perpendicular bisector of the line connecting the wires. In unit-vector notation, what is the net magnetic field at P if the current in wire 2 is (a) out of the page and (b) into the page?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?
