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.
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- A positively charged particle of mass 7.49 x 108 kg is traveling due east with a speed of 61.8 m/s and enters a 0.496-T uniform magnetic field. The particle moves through one-quarter of a circle in a time of 4.66 × 10s, at which time it leaves the field headin south. All during the motion the particle moves perpendicular to the magnetic field. (a) What is the magnitude of the magnetic forc acting on the particle? (b) Determine the magnitude of its charge. B (out of screen)Two long, parallel wires attract each other with a force per unit length equal to 320 μN / m when they are separated by a vertical distance of 0.500 m. The current in the upper wire is 20 A to the right. Determine the location of the line in the plane of the two wires along which the total magnetic field equals zero.The figure below shows the cross section of a long conducting coaxial cable with a = 2.00 cm, b = 1.80 cm, and c = 0.40 cm. The inner conductor carries a current of I = 120 A that is uniformly distributed throughout its cross section and is going out of the page; the outer conductor also has the same current (uniformly distributed) but going into the page. Find the magnitude and direction (CW or CCW) of the magnetic fields at the following radii. (a) r = 3.00cm (b) r = 1.00cm (c) r = 1.90cm
- 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 12A 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.) RA 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, counterclockwiseA 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 UnitsA 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