The heart produces a weak magnetic field that can be used to diagnose certian he
ID: 1466255 • Letter: T
Question
The heart produces a weak magnetic field that can be used to diagnose certian heat problem. It can be viewed as the field produced by a ciruclar current loop in the outer layers of the heart.
LongMulti-Part Problems 1. The heart produces a weak magnetic field that can be used to diagnose certain heat problems. It can be viewed as the field produced by a circular current loop in the outer layers of the heart. (a) It is estimated that the field at the center of the heart (which resides at the center of the current loop) is 90 pTWhat current must circulate around the 8.0-cm diameter loop about the size of a human heart), to produce this field? (b) What is the magnitude of the hearts magnetic dipole moment? (C) Assume that a persons hearts magnetic dipole moment is perpendicular to the Earth's magnetic field (B = 5.0 x 10 -8 T). What is the magnitude of the torque is exerted by the Earth's magnetic field on the personheart? (d) What is the heart's magnetic potential energy relative to an orientation in which its magnetic dipole moment is aligned with the direction of the magnetic field?Explanation / Answer
a)
Radius of the loop, r = d/2
= 8/2
= 4 cm
= 0.04 m
at the center of the loop, B = mue*I/(2*r)
==> I = B*2*r/mue
= 90*10^-12*2*0.04/(4*pi*10^-7)
= 5.73*10^-6 A or 5.73 micro A
b) magetic dipole moment, M = I*A
= 5.73*10^-6*pi*0.04^2
= 2.88*10^-8 A.m^2
c) T = M*B*sin(90)
= 2.88*10^-8*5*10^-5
= 1.44*10^-12 N.m
d) potentail energy = -M*B*cos(0)
= 2.88*10^-8*5*10^-5
= -1.44*10^-12 J
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