In the picture below, the two wires carry current i 1 and i 2 , respectively, wi

Question

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. (It is midway between the two wires, as shown) ("North" is up the page, "East" is right, and so on.)

A) If i1 = 0 and i2 is greater than zero, then the magnetic field near charge q points into the page.
B) If i1 = 0 and i2 is greater than zero, then the force on q is south.
C) If i1 is less than i2, then the force on q is south.
D) If i1 = - i2, then the force on q is zero.
E) If i1 = i2, then the wires repel each other.
F) If v = 0, then the force on q is zero.

Explanation / Answer

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

this is FALSE ,the field is into the page .

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

Now , for the postive particle

as F = q * V X B

force is in south , TRUE

C) If i1 is less than i2, then the force on q is south.

then the magnetic field is into the plane and

as F = q * V X B

force is in south , TRUE

D) If i1 = - i2, then the force on q is zero.

False , as the magnetic field will add up

E) If i1 = i2, then the wires repel each other.

False , as the currents in same direction , attract each other

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

True ,

as force q * V X B

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