In the picture below, the two wires carry current i1 and i2, respectively, with

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.)

For the statements below, select T-True, F-False. If the first is T and the rest F, enter TFFFF.

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

Explanation / Answer

A) True

the magnetic field by current i1 is in inward direction.

using right hand rule , the direction of force comes out to be north.

B)

True

since the magnetic force acts on a moving charge only.

C)

i2 produce magnetic field in outward direction and i1 produce magnetic field in inward direction, Since i2 > i1 , magnetic field in outward direction is greater. hence net magnetic field is in outward direction. Using right hand rule , magnetic force comes out to be in south direction

D)

False

i2 produce magnetic field in outward direction

E)

False.

the currents being in opposite direction , produce magnetic field in same direction . hence the magnetic field is not zero at the location of charge.

F)

True

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