Question #315783

What is the magnitude of the field if a charge of 10 C travelling at a speed of 8 × 106 m/s in a direction perpendicular to a magnetic field experiences a magnetic force of 8.7 × 10-3 N?


1
Expert's answer
2022-03-22T15:35:06-0400

The magnetic force

F=qvBsinθF=qvB\sin\theta

Hence

B=Fqvsinθ=8.7×10310×8×106×sin90=1.1×1010TB=\frac{F}{qv\sin\theta}\\ =\frac{8.7 \times10^{-3}}{10\times 8\times 10^6\times \sin90^\circ}=1.1\times 10^{-10}\:\rm T


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