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True False If i 1 = - i 2 , then the wires repel each other. True False If i 1 =

ID: 1420450 • Letter: T

Question


True False  If i1 = - i2, then the wires repel each other.
True False  If i1 = 0 and i2 is greater than zero then the force on q is south.
True False  If v = 0, then the force on q is zero.
True False  If i2 = 0 and i1 is greater than zero, then the force on q points into the page.
True False  If i1 is greater than i2, then the force on q is north.
True False  If i2 = - i1 then the force on q equals zero.
True False  If i1 = 0 and i2 is greater than zero, then the magnetic field near charge q points into the page.

In the picture below, the two wires carry current i1 and i2, respectively, with positive current to the right. The charge q is positive and has velocity v to the right.

Explanation / Answer

1) If i1 = - i2, then the wires repel each other. TRUE

2) If i1 = 0 and i2 is greater than zero then the force on q is south. TRUE

Force on q is given by

F = q*(V x B)

i2 is greater than zero so direction of magnetic field is +z axis (from right hand thumb rule)

V is +x axis

so Direction of Force is i x k = - j

the force on q is south. TRUE

3)

If v = 0, then the force on q is zero. TRUE

F = q*(V x B) = 0

4)

If i2 = 0 and i1 is greater than zero, then the force on q points into the page. FALSE

direction of magnetic field is -z axis.

so direction of force = i x -k = j

the force on q point is north.

5)

If i1 is greater than i2, then the force on q is north. TRUE

6)

If i2 = - i1 then the force on q equals zero. TRUE

B is zero. so F = 0.

7) If i1 = 0 and i2 is greater than zero, then the magnetic field near charge q points into the page. FALSE

F = q*(V x B)

i1 = 0 and i2 is greater than zero so direction of magnetic field is +z axis (from right hand thumb rule)

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