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.

Please select true or false for each of the following:

1. If i1 = 0 and i2 is greater than zero, then the force on q points out of the page.
2. If i1 = i2, then the wires are attracted to each other.
3. If i1 = 0 and i2 is greater than zero then the force on q is south.
4. If v = 0, then the force on q is zero.
5. If i1 is greater than i2, then the force on q is north.
6. If i1 = 0 and i2 is greater than zero, then the magnetic field near charge q points into the page.
7. If i2 = - i1 then the force on q equals zero.

(Please answer 1-7)

Explanation / Answer

1. If i1 = 0 and i2 is greater than zero, then the force on q points out of the page --- False

Since the bottom wire produces field out of the page at q, thus force is in south ( Right hand rule )

2. If i1 = i2, then the wires are attracted to each other. ---  True, since the parallel currents attract

3. If i1 = 0 and i2 is greater than zero then the force on q is south --- true ( as per part 1, the direction of force on q is south, by right hand rule )

4. If v = 0, then the force on q is zero ---- True,

since, the magnetic forces are created by moving charges

5 If i1 is greater than i2, then the force on q is north. --- True,

The top wire generates a magnetic field into the page at q. The bottom wire produces a magnetic field pointing out of the page at q. If the top current is stronger, the force will be north.

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

The bottom wire produces a magnetic field out of o the page at q

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

Both wires produce a magnetic field out of the page at q and the force is downward.

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