number 8 There\'s a flammable gas in the lab and nobody is sure whether it is me

Question

number 8

There's a flammable gas in the lab and nobody is sure whether it is methane (CH_4), ethane (C_2H_6), or propane (C_3H_8)^3. Fortunately, you have a mass spectrometer (imagine the luck!).The mass spectrometer uses an electric field of 1000 V/m and a magnetic field of 0.500 T in the velocity selector, and this same magnetic field in the deflection chamber. If the distance between the entry into the deflection chamber and the location where the ion strikes the measurement plate (indicated in the diagram) is 3.65 mm, what is the mass for the material assuming that it is singly ionized? If 1 amu = 1.06 times 10^-27 kg, is the material methane (16 amu), ethane (30 amu), or propane (44 amu)? 7. You are out hiking when there is a thunderstorm. A lightning bolt comes straight down from the sky and strikes the ground near you. You remember reading that the lighting bolt could be approximated as a wire carrying a current of about 10^4 A. The deflection of your compass needle tells you that the magnetic field associated with the bolt was 120 muT. How far away did the bolt strike?^4 8. The three wires below are parallel and each carry currents with magnitudes and directions either into or out of the page as indicated. Find the magnitude and direction of the magnetic field at the point P, using the coordinate system indicated (x positive to the right of the page, y positive to the top of the page, and z positive out of the page).

Explanation / Answer

given that

I1=A

I2=2A

I3=4A

From amperes law

B=(mue)*I/2pir

mue = 4 pi *10^-7

B=2*10^-7 *I/r

at point P

B=B1+B2+B3

B=(2*10^-7)*((1/0.01) (i)+(2/0.01)(-i)+(4/0.03)(i))

B=2/3*10^-5 i

B=0.667*10^-5 in +X direction

i-----------denotes +X direction

-i--------------denotes -X direction

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