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Does the right hand rule give the explan...

Does the right hand rule give the explanation for the direction of magnetic force exerted by magnetic field on the wire?

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When you curl your right hand fingers in the direction of current thumb gives the direction of magnetic field.
IT is useful to find the magnetic field direction as well as current direction.
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VGS PUBLICATION-BRILLIANT-ELECTROMAGNETISM-CREATIVE QUESTION FOR NEW MODEL EXAMINATION (SEC-3)CONCEPTUAL UNDERSTANDING
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  19. Draw the magnetic field lines to the given solenoid.

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