please answer the question and show your work A flat circular coil with 70 loops
ID: 2242357 • Letter: P
Question
please answer the question and show your work
A flat circular coil with 70 loops has a diameter of 20 cm and carries a current of 200 mA in a clockwise direction. A long straight wire located as shown in the figure carries a current perpendicular to the plane of the coil. The current in the wire is 47 A, directed into the plane of the paper. Determine the magnetic Held at the center of the coil (point P) due to the two currents. What is the three (in unit vector notation) on a proton when it passes the center of the coli with a velocity of 1x106 m/s to the right?Explanation / Answer
a)
the loop:
B1 = N u0 i/2R = 70*4*3.1416e-7*0.200/(2*0.10) = 87.9648e-6 T
the wire:
r = sqrt((0.10+0.02)y2 + (0.05)y2) = 0.13 m
B2 = u0i/(2pir) = 4*3.1416e-7*47/(2*3.1416*0.13) = 72.308e-6 T
B = B1 + B2 = 87.9648e-6 + 72.308e-6 = 1.60 x 10^-4 T
---------------------------------------------------------------------------------------------------------------------
b)
F = q v B1 = 1.6e-19*1e6*87.9648e-6 = 1.41 x 10^-17 N
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.