Question #182688

1.   7.55-μC charged particle with a speed of 30.50 m/s is found in a uniform magnetic field with magnitude 1.2 T. Solve for the magnitude of the magnetic force exerted on the charged particle if the particle is moving perpendicular to the field.

 


1
Expert's answer
2021-04-19T17:44:57-0400

To be given in question

q=7.55μc=7.55\mu c

B=1.2TeslaB=1.2Tesla

v=30.50meter/secv=30.50meter/sec

θ=90°\theta=90°

To be asked in question

Magnetic force (FB)=?

We know that


Magnetic force FB=q(v×B)F_{B}=q(v\times B)

FB=qvBsinθF_{B}=qvBsin\theta

sin90°=1sin90°=1

FB=7.55×106×30.50×1.2F_{B}=7.55\times10^{-6}\times30.50\times1.2

FB=2.7633×1004N2.7633\times10^{-04} N


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