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IP Consider the physical system shown in the figure (Figure 1), which consists o

ID: 1519483 • Letter: I

Question

IP Consider the physical system shown in the figure (Figure 1), which consists of two current-carrying wires each with a length of 73 cm. Part A If the net magnetic field at the point A is out of the page, is the force between the wires attractive or repulsive? SmallCircle attractive SmallCircle repulsive Part B This question will be shown after you complete previous question(s). PartC Calculate the magnitude of the force exerted by each wire on the other wire, given that the magnetic field at point A is out of the page with a magnitude of 2.2 times 10^-6 T. Express your answer using two significant figures.

Explanation / Answer

magnetic field due to wire 1 is into the page

Bnet = B1 - B2

for total field is out of page B2 is out of the page


the current is opposite to wire 1

current in wire 2 to the left

the forc on wire 2 is down wards


the two wires repel with each other


repulsion


+++++++++++++++++++++++++


B1 = uo*I1/(2*pi*r1)

B1 = (4*pi*10^-7*3.7)/(2*pi*0.33)

B1 = 2.24*10^-6 T in to the page

B2 = -uo*I2/(2*pi*r2)


B2 = -(4*pi*10^-7*I2)/(2*pi*0.11)

B2 = 1.8*10^-6*I2

B1 + B2 = -2.2*10^-6

2.2*10^-6 - (1.8*10^-6*I2) = -2.2*10^-6

I2 = 2.44 A

on second wire


F12 = B1*I2*L

B1 = uo*I1/(2*pi*d)

F12 = uo*I1*I2*L/(2*pi*d)


F12 = (4*pi*10^-7*3.7*2.4*0.73)/(2*pi*0.22) = 5.9*10^-6 N

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