Magnetic resonance imaging needs a magnetic field strength of 1.5 T. The solenoid is 1.8 m long and 75 cm in diameter. It is tightly wound with a single layer of 1.80-mm-diameter superconducting wire. You may want to review (Pages 810 - 814).

Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N · m² /C².Vacuum F/m. -12 permitivity, €o = 8.854 × 10 Magnetic Permeability of vacuum, Ho = 12.566370614356 x 10¬7 H /m. Magnitude of the Charge of one electron, e = -1.60217662 × 10 19 C. Mass of one -31 electron, me = 9.10938356 × 10' Unless specified otherwise, each symbol carries their usual meaning. For example, µC means тіcro coulomb. kg. Vz a C {Ry RS R2 R3 R6 R7 You have given the above diagram of a resistor network. The numerical values of the resistors are R2 = 4 kN, R3 = 6 kN, R4 = 4 kN, R5 = 8 kN, R6 = 8 kN, R7 = 2 kN. And the e.m.f s are V1 9.0 volts, V2 = 14.0 volts, V3 = 10.0 volts, a) Find the equivalent resistance across the terminal cd. equivalent resistance Give your answer up to at least three significance digits.

The mass spectrometer described in Example 26.2 is a simple but largely obsolete design. Modern mass spectrometers generally use a single detector at a fixed location, and they scan the magnetic field strength B by varying the current in an electromagnet. The known value of B at the time a detection is made then allows the charge-to-mass ratio of the detected species to be determined. Furthermore, modern designs don't use the full semicircle as for the mass spectrometer in Example 26.2 but generally take the particles through a smaller circular arc. (Figure 1) shows the magnetic portion of such a mass spectrometer. Ions enter the magnetic field after being accelerated through a potential difference of 2.75 kV. They enter moving perpendicular to the field region, a distance of r = 13 cm from the apex shown, and, if they have the appropriate charge-to- mass ratio, they strike the detector, which is located the same distance from the apex as the entrance slit.   What range of magnetic…

A superconducting solenoid is to be designed to generate a magnetic field of 4.00 T. If the solenoid winding has 1 000 turns/m, what is the required current? (µ0 = 4π×10-7T×m/A)

1. You've recently read about a chemical laser that generates a 20-cm-diameter, 25 MW laser beam. One day, after physics class, you start to wonder if you could use the radiation pressure from this laser beam to launch small payloads into orbit. To see if this might be feasible, you do a quick calculation of the acceleration of a 20-cm-diameter, 100 kg, perfectly absorbing block. What speed would such a block have if pushed horizontally 100 m along a frictionless track by such a laser?

How the Biot-Savart Law Differs from Ampère's Law A current Io flows up the z-axis from z = z, to z = 22 as shown below. %3D Z2 (a) Use the Biot-Savart law to show that the magnetic field in the z = 0 plane is Ho lo {cos 02 – cos 01}6. 4π ρ B(p, 6, 0) = |

Two long, parallel wiresseparated by a distance 2d carryequal currents in the same direction.An end view of the two wiresis shown in Figure P19.54, wherethe currents are out of the page.(a) What is the direction of themagnetic field at P on the x - axisset up by the two wires? (b) Find anexpression for the magnitude of thefield at P. (c) From your result to part (b), determine the fieldat a point midway between the two wires. Does your resultmeet with your expectation? Explain.

In the figure, an electron accelerated from rest through potential difference V₁-1.12 kV enters the gap between two parallel plates having separation d = 21.0 mm and potential difference V₂= 129 V. The lower plate is at the lower potential. Neglect fringing and assume that the electron's velocity vector is perpendicular to the electric field vector between the plates. In unit-vector notation, what uniform magnetic field allows the electron to travel in a straight line in the gap? Number ( i + k) Units

Figure 8 shows a coaxial cable (two nested cylinders) of length l, inner radius a and outer radius b. Note that l >> a and l >> b. The inner cylinder is charged to +Q and the outer cylinder is charged to −Q.   The cable carries a current I, which flows clockwise. Use Ampere’s Law to calculate themagnetic field B⃗ at r<a,  a<r<b, and r>b.

If a small part of this magnet loses its superconducting properties and the resistance of the magnet wire suddenly rises from 0 to a constant 0.005 Ω, how much time will it take for the current to decrease to half of its initial value? (a) 4.7 min; (b) 10 min; (c) 15 min; (d) 30 min