Class Management Help PHY-112 Topic 3 Homework Begin Date: 1/8/2018 12:00:00 AM-

Question

Class Management Help PHY-112 Topic 3 Homework Begin Date: 1/8/2018 12:00:00 AM--D ue Date: 2/18/2018 11:59:00 PM End Date: 2/21/2018 11:59:00 PM (189%) Problem 10: Consider two long wires with current I8.6 A and as shown in the figure. Let d=1m,a=1.5 m. 2.8 A Otheexpertta.conm 796 Part (a) Express the magnitude of the magnetic field at A created by current li, Bu, in terms of and d. 796 Part (b) what is the direction of Bu? 7% Part (c) Express the magnitude of the magnetic field at A created by current/·B,62, in terms of 12 and d. 7% Part (d) what is the direction of Baz? 7% Part (e) Express the total magnetic field at A created by current and 1. Be in temns of4A and d. Take out of the screen as the positive direction 7% Part (f) Calculate the numerical value of B, in Tesla 7% Part(g) What is the direction of 7% Part (h) Express the magnitude ofthe magnetic field at B created by current li, BB, in terms of, and a. 796 Part (i) What is the direction ofBBI? i' 7% Part Express the magnitude of the magnetic field at B created by current h, BS2, in terms of 1, a and d 7% Part (k) what is the direction of -% Part (1) Express the total magnetic field at B created by current I, and positive direction. = 7% Part (m) Calculate the numerical value of BB in Tesla. c) 796 Part (n) What is the direction ofBs? Bs. in terms ofhh a, andd. Use out of the page as the

Explanation / Answer

Part (a) Express the magnitude of the magnetic field at A created by current I1, Ba1, in terms of I1 and d.

Ba1 = u0 i1/(2 pi (d/2)) = u0 i1/(pi d) = 4*3.1416e-7*(8.6)/(3.1416*1)

==> B = 3.44 x 10^-6 T

Part (b) What is the direction of Ba1?

into the page

Part (c) Express the magnitude of the magnetic field at A created by current I2, Ba2, in terms of I2 and d.

Ba2 = u0 i2/(2 pi (d/2)) = u0 i2/(pi d) = 4*3.1416e-7*(2.8)/(3.1416*1)

==> B = 1.12 x 10^-6 T

Part (d) What is the direction of Ba2?

out of the page

Part (e) Express the total magnetic field at A created by current I1 and I2, Ba, in terms of I1, I2, and d. Take out of the screen as the positive direction.

Ba = Ba2 - Ba1 = u0 i2/(pi d) - u0 i1/(pi d) = u0 (i2-i1)/(pi d)

Part (f) Calculate the numerical value of Ba in Tesla.

Ba = 4*3.1416e-7*(2.8-8.6)/(3.1416*1)

==> Ba = -2.32 x 10^-6 T

Part (g) What is the direction of Ba?

into the page

Part (h) Express the magnitude of the magnetic field at B created by current I1, Bb1, in terms of I1 and a.

Bb1 = u0 i1/(2 pi a)

Part (i) What is the direction of Bb1?

out of the page

Part (j) Express the magnitude of the magnetic field at B created by current I2, Bb2, in terms of I2, a and d.
Bb2 = u0 i2/(2 pi (a+d))

Part (k) What is the direction of Bb2?

out of the page

Part (l) Express the total magnetic field at B created by current I1 and I2, Bb, in terms of I1, I2 and d. Use out of the page as the positive direction.

Bb = Bb1 + Bb2 = u0 i1/(2 pi a) + u0 i2/(2 pi (a+d))

Part (m) Calculate the numerical value of Bb in Tesla.

Bb = 4*3.1416e-7*(8.6)/(2*3.1416*1.5) + 4*3.1416e-7*(2.8)/(2*3.1416*(1+1.5))

==> Bb = 1.37 x 10^-6 T

Part (n) What is the direction of Bb?
out of the page

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