Discuss the effect on the magnitude of force on a current-carrying conductor

#### Motor Effect

- When a current carrying conductor passes through an external magnetic field, it experiences a force.
- This is known as the
**motor effect**and was discovered by Michael Faraday in 1821. - The direction of the 3 factors can be seen in the
**"Right hand palm/push rule"**, that is they are perpendicular to each other.

#### Factors that affect the magnitude of the force

- The strength of the
**external magnetic field**(B) is proportional to the force. - The magnitude of the
**current in the conductor**(I) is proportional to the force. - The
**length of the conductor**in the field is proportional($l$) to the force. - The
**angle**between the conductor and the external magnetic field.- This is what determines the conductor's
**effective length**, or the vertical component of the length.- Therefore it is given by $\sin{\theta}$ where $\theta$ is the angle to the field.

- The force is
**maximum**when it is**perpendicular**(90゜) to the magnetic field - The force is minimum when it is parallel (0゜) to the magnetic field.

- This is what determines the conductor's

This can be expressed mathematically as:

(1)\begin{align} F = BIl\sin{\theta} \end{align}

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