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The heart has a dipole charge distribution with a charge of +1.0×107 C that is 5

ID: 1584603 • Letter: T

Question

The heart has a dipole charge distribution with a charge of +1.0×107 C that is 5.0 cm above a charge of -1.0×107 C. Determine the E  field (magnitude) caused by the heart's dipole at a distance of 7.8 cm directly above the heart's positive charge. All charges are located in body tissue of dielectric constant 7.0. Determine the E  field (direction) caused by the heart's dipole at a distance of 7.8 cm directly above the heart's positive charge. What is the magnitude of the force exerted on a sodium ion (charge +1.6×1019 C) at that point? What is the direction of the force exerted on a sodium ion at that point?

Explanation / Answer

let,


q=1*10^-7C


distance between q1 an q2 is, r=5cm


distance above the q1 charge, d=7.8cm

a)


net electric field, E=E1-E2


=k*q1/d^2 - k*q2/(r+d)^2

=K*q*(1/d^2- 1/(r+d)^2)

=9*10^9*1*10^-7*(1/0.078^2 - 1/(0.05+0.078)^2)

=9.3*10^4 N/C

b)


direction of electric field is upward

c)


F=q*Enet


=1.6*10^-19*(9.3*10^4)


=1.5*10^-14 N

direction of the force is upward