Magnetic Effects Of Current Question 276

Question: Lorentz force can be calculated by using the formula [MP PET 1994, 2002, 03; CBSE PMT 2002]

Options:

A) $ \overrightarrow{F}=q,(\overrightarrow{E}+\overrightarrow{v}\times \overrightarrow{B}) $

B) $ \overrightarrow{F}=q,(\overrightarrow{E}-\overrightarrow{v}\times \overrightarrow{B}) $

C) $ \overrightarrow{F}=q,(\overrightarrow{E}+\overrightarrow{v}\cdot \overrightarrow{B}) $

D) $ \overrightarrow{F}=q,(\overrightarrow{E}\times \overrightarrow{B}+\overrightarrow{v}) $

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Answer:

Correct Answer: A

Solution:

Lorentz force is given by $ \overrightarrow{F}=\overrightarrow{F_{e}}+\overrightarrow{F_{m}}=q\overrightarrow{E}+q(\overrightarrow{v}\times \overrightarrow{B})=q[\overrightarrow{E}+(\overrightarrow{v}\times \overrightarrow{B})] $