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3. A charged particle enters the magnetic field of a mass spectrometer at a spee

ID: 2039842 • Letter: 3

Question

3. A charged particle enters the magnetic field of a mass spectrometer at a speed of 1.79 x 100 m/s. It subsequently moves in a circular orbit with a radius of 16.0 em in a uniform magnetic field of magnitude 0.350 T having a direction perpendicular to the particle's velocity. Find the particle's mass-to-charge ratio. 4. Two high-current lines carry currents of 25 A and 75 A in the same direction and are suspended parallel to each other 35_em apart. If the vertical posts supporting these wires divide the lines into straight _15 m segnents, what magnetic force does each segment exert on the other? Is this force attractive or repulsive? 5. A wire with a weight per unit length of 0.080 N/m is suspended directly above a second wire. The top wire carries a current of 30.0 A. and the bottom wire carries a current of 600 A. Find the distance of separation between the wires so that the top wire will be held in place by magnetic repulsion.

Explanation / Answer

Applying Force balance on Circular orbit:

Centripetal force = magnetic force

Fc = Fm

m*V^2/r = q*V*B

We need mass to charge ratio, So

m/q = r*B/V

Using given values:

m/q = 16*10^-2 m*0.350 T/(1.79*10^6 m/sec)

m/q = 3.13*10^-8 kg/Coulomb

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