... A conductor suspended by two fixable wires as the figure has a mass per unit

Question

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A conductor suspended by two fixable wires as the figure has a mass per unit length of 0.84 kg/m. The acceleration of gravity is 9.8 m/s. What current must exist in the conductor in order for the tension in the supporting wires to be zero when the magnetic field is 4.1 t into the page? Answer in units of A A 0.411 T magnetic field in a mass spectrometer causes an isotope of sodium to move in a circular path with a radius of 0.089 m. The change on an ion is 1.60218 times 10-19 C. If the ions are moving with a speed of 12700 m/s, what is the isotope's mass? Answer in units of kg

Explanation / Answer

1.

linear mass density

u=m/L

=>m=u*L

F=mg =u*L*g

and F=BIL

BIL =u*L*g

I =u*g/B =0.84*9.8/4.1

I=2 A

2)

qvB =mv^2/r

m =qBr/v

m=(1.60218*10^-19)(0.411)*0.089/(12700)

m=4.61*10^-25 Kg

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