Two infinitely long wires carrying equal current I in the opposite direction are placed perpendicular to the x-y plane. One wire is located at point P (0, a, 0) and the other wire at Q (0, -a, 0). Find the magnitude and direction of at point A(x, 0, 0).
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- A long, straight wire lies on a horizontal table in thexy - plane and carries a current of 1.20 µA in the positivex - direction along the x - axis. A proton is traveling in the negativex - direction at speed 2.30 x 104 m/s a distance d abovethe wire (i.e., z = d ). (a) What is the direction of the magneticfield of the wire at the position of the proton? (b) Whatis the direction of the magnetic force acting on the proton?(c) Explain why the direction of the proton’s motion doesn’tchange. (d) Using Newton’s second law, find a symbolicexpression for d in terms of the acceleration of gravity g, theproton mass m, its speed v, charge q, and the current I.(e) Find the numeric answer for the distance d using theresults of part (d).(a) A wire is held horizontally in a vacuum chamber, and carries a current of 3.65 µA. A proton is traveling in a direction parallel to the wire (opposite the current) with a constant speed of 2.50 × 10ª m/s at a distance d above the wire. Ignoring the magnetic field due to the Earth, determine the value of d (in cm). cm (b) What If? At what distance d (in m) would an electron moving with the same speed as the proton move parallel to the wire? What direction would the electron have to move? In the same direction as the proton. In the opposite direction as the proton. There is too little information to determine the direction.The figure shows two closed paths wrapped around two conducting loops carrying currents i₁ = 6.9 A and i₂ = 4.1 A. What is the value of the integral B ds for (a) path 1 and (b) path 2? (a) Number i (b) Number i Units Units
- A long, straight wire lies on a horizontal table in the xy-plane and carries a currentof 1.20 μA in the positive x-direction along the x-axis. A proton is traveling in the negativex-direction at speed 2.3 × 104 m/s a distance d above the wire (i.e. z = d). (a) What is the direction of the magnetic field of the wire at the position of the proton?(b) What is the direction of the magnetic force acting on the proton?Three long wires are parallel to a z axis, and each carries a current of 10 A in the positive z direction.Their points of intersection with the xy plane form an equilateral triangle with sides of 50 cm, . A fourth wire (wire b) passes through the midpoint of the base of the triangle and is parallel to the other three wires. If the net magnetic force on wire a is zero, what are the (a) size and (b) direction (+z or-z) of the current in wire b?Three long wires all lie in an xy plane parallel to the x axis. They intersect the y axis at the origin, y = d, and y 2d, where d = 6.7 cm. The two outer wires each carry a current of 6.1A in the positive x direction. What is the magnitude of the force on a 3.4 m section of either of the outer wires if the current in the center wire is 1.5 A (a) in the positive x direction and (b) in the negative x direction? (a) Number i Units (b) Number Units
- The figure below shows a cross section of a long thin ribbon of width w = 4.84 cm that is carrying a uniformly distributed total current i = 2.01 µA into the page. Calculate the magnitude of the magnetic field at a point P in the plane of the ribbon at a distance d = 3.16 cm from its edge. (Hint: Imagine the ribbon as being constructed from many long, thin, parallel wires.) Number —d→ x xx xx xx -x UnitsSuppose a straight 1.75 mmmm -diameter copper wire could just "float" horizontally in the air because of the force due to the Earth's magnetic field B B→, which is horizontal, perpendicular to the wire, and of magnitude 4.5×10−5 T. What current would the wire carry?