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.

Which of the following statements are true?

A) If v = 0, then the force on q is zero.
B) If i1 = - i2, then the force on q is zero.
C) If i1 = i2, then the wires are attracted to each other.
D) If i1 = 0 and i2 is greater than zero, then the magnetic field near charge q points into the page.
E) If i1 = 0 and i2 is greater than zero, then the force on q points out of the page.
F) If i2 = 0 and i1 is greater than zero, then the force on q is north.
G) If i1 is greater than i2, then the force on q is north.

Explanation / Answer

Force on q due to magnetic field = q*(V x B)

Magnetic field due to current i1 = u0*i1/(2*pi*)

Direction of magnetic field is given by right hand thumb rule

Direction of magnetic field due to i1 is into the page.

Direction of magnetic field due to i2 is out of the page.

A) true

B) false

C) false

D) false

E) true

F) true

F = i x -k = j

Direction of force is north.

G) true

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