# A current I flows in a wire that is oriented in the direction 3i + 4j. The wire is in a magnetic...

## Question:

A current {eq}I {/eq} flows in a wire that is oriented in the direction {eq}3\hat{\imath} + 4\hat{\jmath} {/eq}. The wire is in a magnetic field that has a direction of {eq}5\hat{\jmath} + 12\hat{k} {/eq}.

Find the direction of the force on the wire and express it in {eq}\hat{\imath}\hat{\jmath}\hat{k} {/eq}-notation.

## Magnetic Force in a Current Carrying Conductor:

When an external magnetic field acts on a current carrying conductor, it experiences a force.

This force is represented by the vector

{eq}\vec F=L.\vec i \times \vec B {/eq}.

The direction of the force is given by the cross product of the direction of the current and the external magnetic field, where L is the length of the conductor.

Given:

current {eq}I {/eq} flows in a wire that is oriented in the direction {eq}\hat i = 3\hat{\imath} + 4\hat{\jmath} {/eq}. The wire is in a...

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