A rectangular loop of wires (length = L, width = w, N turns, mass = m, resistance = R) is entirely in a uniform magnetic field of B directed at theta above the plane. The loop is confined to move horizontally and starts moving out of the magnetic field region from rest with a constant rightward force of F applied to it.

A flat, 173 turn current-carrying loop is immersed in a uniform magnetic field. The area of the loop is 6.37 x 10-4 m2, and the angle between its magnetic dipole moment and the field is 55.9°. Find the strength B of the magnetic field that causes a torque of 1.49 × 10³ N-m to act on the loop when a current of 0.00381 A flows in it. B =

In the figure, two concentric circular loops of wire carrying current in the same direction lie in the same plane. Loop 1 has radius 1.30 cm and carries 4.40 mA. Loop 2 has radius 2.70 cm and carries 6.40 mA. Loop 2 is to be rotated about a diameter while the net magnetic field B set up by the two loops at their common center is measured. Through what angle must loop 2 be rotated so that the magnitude of the net field is 100 nT? Number i Units 12

A long straight wire sits on the z-axis and carries a current of 8.22 amps in the positive z direction. Find the magnitude of the magnetic field produced by this current at position (x,y,z) = (0.646 m, -4.24 m, 2.6 m). Answer in units of T.

In the Figure, a wire is bent into the shape of a straight wire and a circle, with a circular loop of radius R = 3.4 cm and two long straight sections. The loop center coincides with %3D the origin of the coordinate system as shown. The straight sections are parallel to x-axis. The wire carries a l = 3.6 A current, as shown. Calculate the magnitude and the direction (into or out of the page) of the magnetic field at the origin. (Choose out of the page as the positive z-direction and express the magnetic field by using the sign of the result, which must be in multiples of 10 5 Teslas and include 2 digit after the decimal point. That means if you get a result of a 9.22 x 10 and the direction of the field is out of the page, just type 9.22 or if you find the direction of the field as into the page, just tpe -9.22 in the answer box. Maximum of 5% of error accepted in your answer. Take vacuum permeability Ho = 4T x 107T/A2 and n=3.14.) R

A solid conducting bar is free to move across two ends of a conducting U shape of wire that are separated by L=25 cm. On the base of the U shape is a resistor R=20 ohms. The whole apparatus is in a constant magnetic field B=0.7 T pointing out of the page. If the conducting bar has negligent resistance itself and is moved to the right at a constant velocity of 12 m/s, what is the magnitude and direction of the current induced in the loop? a) 0.11 A, clockwise b) 0.11 A, counterclockwise c) 2.1 A, clockwise d) 2.1 A, counterclockwise

A proton moves with a speed of 240 m/s in the +x-direction into a region of a 4.5-T uniform magnetic field directed 62° above the +x-direction in the x,y-plane. Calculate the magnitude of the magnetic force on the proton.

A long straight wire sits on the z-axis and carries a current of 1.46 amps in the positive z direction. Find the magnitude of the magnetic field produced by this current at position (x,y,z) = (-1.44 m, -3.65 m, 6.04 m). Answer in units of T.

In the figure, two concentric circular loops of wire carrying current in the same direction lie in the same plane. Loop 1 has radius 1.70 cm and carries 4.40 mA. Loop 2 has radius 2.40 cm and carries 5.70 mA. Loop 2 is to be rotated about a diameter while the net magnetic field B set up by the two loops at their common center is measured. Through what angle must loop 2 be rotated so that the magnitude of the net field is 91.0 nT? Number i Units

A rectangular loop in the xy-plane carrying a current I lies in a uniform Magnetic field B = axBx + ayBy + azBz. Determine the Force and the torque on the loop