A circular loop of wire of radius R carries a current I in a region where a uniform magnetic field of magnitude B0 is present. (a) If the magnetic dipole moment of the loop makes an angle θ < π/2 with the magnetic field, do a drawing that includes the loop of current, its magnetic dipole moment, the magnetic field, and the direction of the torque experienced by the loop. Make sure to indicate the current i and the angle θ in your drawing. (b) For a loop of rotational inertia I, find an expression for ω, the angular frequency of small oscillations of the loop, in terms of the given quantities.
A circular loop of wire of radius R carries a current I in a region where...
A circular loop of wire having a radius of 5.94 cm carries a current of 0.280 A. A vector of unit length and parallel to the dipole moment of the loop is given by 0.60i – 0.80j . If the loop is located in a uniform magnetic field given by Upper B = (0.715 T) i + (0.731 T) k find (a) the x-component, (b) the y-component, and (c) the z-component of the torque on the loop and (d) the...
A circular loop of wire having a radius of 9.05 cm carries a current of 0.288 A. A vector of unit length and parallel to the dipole moment of the loop is given by 0.60i – 0.80j. If the loop is located in a uniform magnetic field given by B = (0.522 T) j + (0.386 T)k , find (a) the x-component, (b) the y-component, and (c) the z-component of the torque on the loop and (d) the magnetic potential...
A circular loop of wire having a radius of 5.13 cm carries a current of 0.233 A. A vector of unit length and parallel to the dipole moment of the loop is given by 0.60 i - 0.80 i. If the loop is located in a uniform magnetic field given by B = (0.990 T)/+ (0.626 T) , find (a) the x-component, (b) the y-component, and (c) the z-component of the torque on the loop and (d) the magnetic potential...
A circular loop of wire having a radius of 6.96 cm carries a current of 0.100 A. A vector of unit length and parallel to the dipole moment of the loop is given by 0.60i Overscript ̂ EndScripts – 0.80j Overscript ̂ EndScripts. If the loop is located in a uniform magnetic field given by Upper B Overscript right-arrow EndScripts = (0.542 T)i Overscript ̂ EndScripts + (0.847 T)k Overscript ̂ EndScripts, find (a) the x-component, (b) the y-component, and...
A flat circular loop of wire of radius R carrying a current I is placed in a uniform magnetic field B that is directed in the plane of the current loop. What is the magnetic moment M of the loop? What is the magnitude of the torque acting on the loop? In which direction the loop will rotate under the influence of this torque?
A circular coil consisting of a single loop of wire has a radius of 8.28 cm and carries a current of 9.16 A. It is placed in a uniform external magnetic field, so that the normal to the loop makes an angle of θ = 80.4° with the direction of the field. If the coil feels a torque of 1.39×10−2 Nm, what is the magnitude of the magnetic field?
There is a circular ring of wire. It has a radius α that carries a current in a counter clockwise direction L.P Part A) Reduce equation 10 to find the magnetic field at the center of the loop. Derive this answer from Ampère's Law Ho R2 401 (cos θ 10 B(z) Part B) Now let's assume it is an insulated circular disk with a uniform charge density σ is spinning at rate ω. Utilize Ampère's Law to determine the magnetic...
A circular loop of wire having a radius of 5.43 cm carries a current of 0.181 A. A vector of unit length and parallel to the dipole mome ent of the loop is given by 0.60 0.80 . If the loop is located in a uniform magnetic field given by B (0.531T + (0.192 T) , find (a) the x-component, (b) the y-component, and (c) the z-component of the torque on the loop and (a) nd (c) the z-component of...
Chapter 28, Problem 063 A circular loop of wire having a radius of 8.16 cm carries a current of 0.114 A. A vector of unit length and parallel to the dipole moment of the loop is given by 0.601 -0.80). If the loop is located in a uniform magnetic field given by B - (0.551 ni + (0.722 Tk, find (a) the x-component, (b) the y-component, and (c) the 2-component of the torque on the loop and (d) the magnetic...
To make an electric motor, you create a circular loop of wire with radius 0.0100 m. You also have a magnet that can produce a relatively uniform magnetic field of strength 0.30 T 2. a. At a certain point, the magnetic flux through the loop is 2.00 x 10- T.m2; what is the angle between the plane of the loop and the field? (Note: the angle is zero if the loop is oriented like figure P27.21 in Practice, p. 495.)...