Suppose there is a square wire loop (side a), lying in the yz plane with the corners of (0,0,0), (0,a,0), (0,a,a), and (0,0,a), which carries a steady current "I". Calculate the magnetic field at (0,-a,0) point. (Hint: Use Biot-Savart Law and Superposition principle. Net field is the (vector) sum of the fields due to each side taken separately.)
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- Two long wires, one of which has a semicircular tend of radius R, are positioned as shown in the accompanying figure. If both wires carry a current I, how far apart must then parallel sections be so that the net magnetic field at P is zero? Does the current in the straight wire flow up or down?A circular loop of wire of area 10 cm2 carries a current of 25 A. At a particular instant, the loop lies in the xy-plane and is subjected to a magnetic field B=(2.0i+6.0j+8.0k)103T . As viewed from above the xy-plane, the current is circulating clockwise. (a) What is the magnetic dipole moment of the current loop? (b) At this instant, what is the magnetic torque on the loop?Is B constant in magnitude for points that lie on a magnetic field line?
- In Niels Bohr’s 1913 model of the hydrogen atom, the single electron is in a circular orbit of radius 5.29 × 10−11 m and its speed is 2.19 × 106 m/s. (a) What is the magnitude of the magnetic moment due to the electron’s motion? (b) If the electron moves in a horizontal circle, counterclockwise as seen from above, what is the direction of this magnetic moment vector?A wire ismade into a circular shape of radius R and pivoted along a central support.The two ends of the sire are touching a banish that is connected to a &power source. The stricture is between the poles of a magnet such that we can assume there is a uniform magnetic field on the wire. In terms of a coordinate system with origin at the center ofthe ring, magneticfieldisBx=B0,By=Bz= 0. and the ring rotates about the z-axis. Find the torque on the ring siren it is not in the xz-plane.A long, solid, cylindrical conductor of radius 3.0 cm carries a current of 50 A distributed uniformly over its cross-section. Plot the magnetic field as a function of the radial distance r from the center of the conductor.
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- Fig. 2 shows, in cross section, two long parallel wires separated by distance d = 10 cm. Each carries 100 A, out of the page in wire1. What is the net magnetic field at point P at distance OP = 7.5 cm, due to the two currents? a/ The current in wire 2 is into the page. b/ The current in wire 2 is out of the page. c/ In case the current in wire 2 is out of the page, find locations on Ox where the net magnetic field is zero.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.Given a solenoid with length 4a (equal to four times its radius a), you measured that the magnitude of the magnetic field is 10T and the current is 1A. Along the axis of the solenoid, what is the magnitude of the magnetic field at distance 2a?