An alpha particle (charge +2 e ) and an electron move in opposite directions fro

ID: 1792701 • Letter: A

Question

An alpha particle (charge +2e) and an electron move in opposite directions from the same point, each with the speed of 2.70×105 m/s (Figure 1) .

Part A

Find the magnitude of the total magnetic field these charges produce at point P, which is 8.45 nm from each charge.

art B

Find the direction of this magnetic field.

An alpha particle (charge +2e) and an electron move in opposite directions from the same point, each with the speed of 2.70×105 m/s (Figure 1) .

Part A

Find the magnitude of the total magnetic field these charges produce at point P, which is 8.45 nm from each charge.

art B

Find the direction of this magnetic field.

to the right to the left into the page out of the page

140° 1+ Electron Alpha particle

Both moving charges produce magnetic fields, and the net field is the vector sum of the two fields

B net = B_ alpha + B_ e

= uov/ 4 pi r^2 ( e sin 40 + 2e sin 140)

=4 pi * 10^-7 ( 1.6 * 10^-19 ) (2.7 * 10^5)/ 4 pi ( 8.45 * 10^-9)^2 * ( sin 40 + 2 sin 140)

= 0.116* 10^-3 T

(b)

the dirction of magnetic field is

out of the page

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