Question

A straight wire segment of length 17 cm is placed in the magnetic field 15.8 tesla (T). The magnetic force on the wire segment has magnitude 6.39 N. Calculate the possible magnitude of the current of (in A) flowing through the wire if the wire is placed perpendicular to the magnetic field.

Answer 1

The magnetic force experienced by a conductor in a magnetic field is given by the equation F = BIL, where:

- F is the magnetic force,
- B is the magnetic field intensity,
- I is the current flowing through the wire,
- L is the length of the wire.

We are given that:

- The force, F is 6.39 N
- The magnetic field, B is 15.8 T
- The length of the wire, L is 0.17 m (Notice that we have to convert the length from cm to m)

The task is to find the current I, this can be done by rearranging the formula to solve for I.

That would be I = F / (B*L)

Substituting the given values into the equation, we get:

I = 6.39 / (15.8 * 0.17)

Puting the values into the formula and calculating we find out that the magnitude of the current I is approximately 2.379 A.

So, the current that's flowing through the wire when it's placed perpendicular to the magnetic field is approximately 2.379 A.