Please help me understand this type of problem. Please show steps and any diagra

Question

Please help me understand this type of problem. Please show steps and any diagrams realated to the phyisics to help me understand what is going on. Thank you.

A long, straight current-carrying wire lies on a horizontal table along z-axis. In a vacuum, a proton moves parallel to the wire in - z direction with a constant speed of 2.10x104 m/s at a distance 15 cm right below the wire. Ignore the magnetic field due to the Earth. Q4: What must be the direction of the current in the wire in order to achieve the above situation? a. + x direction e. + z direction c. + y direction d. -y direction b. - x direction f. - z direction g. none of the above P3: Calculate the magnitude of the current in the wire in the above question a. 2.24x 10% A e. 1.23x1020 c. 2.86x10-10A d. 2.24x10-14 A b. 3.65x10-6A f. none of the above

Explanation / Answer

speed of the proton v=2.1*10^4 m/sec

distance between proton and wire r=15cm

charge q=1.6*10^-19 C

mass of the proton m=1.67*10^-27 kg

A)

by using

Fleming left hand rule and right hand curl rule,

the current is along +Z direction

B)

by eqating the force,

m*g=q*v*B

m*g=q*v*(uo*i/2r)

(1.67*10^-27*9.8)=(1.6*10^-19)*(2.1*10^4)*(4pi*10^-7*i)/(2*15*10^-2)

====> current i= 1.163*10^-6 A

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