Strength of magnetic field F = ILBsin(theta)

[zeion]

Homework Statement

How many times stronger is the force acting on the conductor at 90 degrees than it is at 30 degrees?

Homework Equations

F = ILBsin(theta)

The Attempt at a Solution

I would think the answer is two times as strong because sin90 = 1 and sin30 = 0.5.
But the question is worth 5 marks so I think there must be something more to it..

 

[glueball8]

it seems that's it.

 

[nlightner]

Your reasoning is correct. At 90 degrees, the force will be at its maximum value since sin90 = 1. At 30 degrees, the force will be reduced by half since sin30 = 0.5. Therefore, the force at 90 degrees is twice as strong as the force at 30 degrees. However, it is always important to consider the direction of the force as well, as it may be in a different direction at different angles. This could potentially affect the overall strength of the force acting on the conductor. Additionally, the equation only considers the strength of the magnetic field, and other factors such as the length of the conductor and the current passing through it may also play a role in determining the overall force. So while your answer is correct, it is always important to thoroughly consider all relevant factors and provide a complete and accurate response in scientific inquiries.