CHW 09- Sources of Magnetic Fleld Item 4 )4of6 Caloute the -component of the mag
ID: 1730569 • Letter: C
Question
CHW 09- Sources of Magnetic Fleld Item 4 )4of6 Caloute the -component of the magntic eld produced at point P (Ne Do ot foret the contsibutions trom the straight wie at the betom of the semioinde that runs from a atoYou may use the fect hat the felids of the two antparalel s t? a cancel) Constants A wire in the shape of a semiciecle with radus 0.27 to s oriented in the ya-plane with its center of ourvature at the origin (see the figure ). The oument in the wire is 3.2 A and point P is a distance 0.58 m out along the x-axis Figure 1) Request Anewe Part B Reauest Anwwer Figure 1 of1 Caloulale the 2component of the magnetic eld at point P 7 Reavest Ansr Provide Feedbaok Next >Explanation / Answer
given wire in shape of a semicircle
r = 0.27 m
i = 3.2 A
d = 0.58 m
a. x component of magnetic field
Bx = pi*k*i*r^2/(r^2 + d^2)^3/2
Bx = 2.798*10^-7 T
b. for y component
By = integral(k*i*dl*d/(r^2 + x^2)^3/2)
By = pi*r*k*i*d/(r^2 + x^2)^3/2 = 6.01212*10^-7 T (-y axis)
also By due to straight part of the wire = 2ki(r/sqrt(r^2 + d^2))/d ( +y axis)
hence
net By = 1.3552*10^-7 T ( -y axis)
c. z component of electric field is 0 as all the elctric field along z axis due to the semicircular coil gts cancelled form symmetry