00 Figure 4 Figure 4 Shows A Helmholtz Coil Which Actually Consists Of Two Coils Of Wire Separated By Some Distance Wh 1 (82.51 KiB) Viewed 8 times
00 Figure 4 Figure 4 Shows A Helmholtz Coil Which Actually Consists Of Two Coils Of Wire Separated By Some Distance Wh 2 (39.93 KiB) Viewed 8 times
00 Figure 4 Figure 4 shows a Helmholtz coil, which actually consists of two coils of wire separated by some distance. When current runs through these coils, a magnetic field is created. Depending on the direction of the current, the magnetic field will point either in the positive or negative direction, as indicated in Figure 4. The magnitude of the magnetic field is proportional to the current: B = kl [Equation 6] The constant k depends on characteristics of the Helmholtz coils, such as its radius and the number of windings. In fact, each E/M apparatus has its own unique k, which is written on the device. Each E/M apparatus is identified by a machine number, which should be indicUse Eq. 6 to calculate the magnitude of the magnetic field B in the fourth column of the table. Recall that in Excel you can use the $ symbol to make a reference to a fixed cell. For example, if the value of kis in cell A5, and the value of l is in cell D10, then you can calculate the magnetic field with =$A$5*D10. When you copy and paste this formula to other cells, the reference to cell A5 remains fixed. Use Eq. 7 to calculate the charge-to-mass ratio of the electron (w/m) in the sixth column of the table. Calculate the average value of your experimental q/m determination.ated on its side.
a. Using the Biot-Savart law calculate the magnetic field of a circular wire loop of radius a, carrying a steady current I, at a point P on the axis of the loop, a distance x from the center of the loop.
Byi Ho I R2 11 2 (x2 +R339
b. Now consider the wire loop in part a above, has N turns with the same radius. What will be the magnetic field of the N-turn loop of wire at point ? C. Helmholtz coils (figure 4) consists of two identical, flat, circular coils of wire of radius a, each with N turns. Each coil carries a steady current I in the same direction. If the coil centers are a distance a apart (b = a in figure 4), determine the magnitude of the magnetic field B at a point on the common axis of the coils and halfway between them (x =a/2) and simplify your answer.
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