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State the rule to determine the direction of a
$(i)$. magnetic field produced around a straight conductor-carrying current,
$(ii)$. the force experienced by a current-carrying straight conductor placed in a magnetic field which is perpendicular to it, and
$(iii)$. current induced in a coil due to its rotation in a magnetic field.
$(i)$. The rule that is used for determining the direction of the magnetic field around a straight current-carrying conductor is Maxwell’s right-hand thumb rule.
According to the rule, the thumb points in the direction of the current, and the direction in which the fingers have surrounded the current-carrying conductor gives the direction of the magnetic field lines around the wire.
$(ii)$. Fleming's left-hand rule is the name of rule used to determine the direction of force experienced by a current carrying straight conductor placed in a uniform magnetic field which is perpendicular to it.
Fleming's left-hand rule, states that when left hand's thumb, forefinger (or, index finger) and centre finger (or, middle finger) are held mutually perpendicular to one another and adjusted in such a way that the forefinger points in the direction of the magnetic field, and the centre finger points in the direction of the current, then the direction in which thumb points, gives the direction of force acting on the conductor.
Image is posted for reference only
$(iii)$. Fleming's Right-hand rule is used to determine the direction of current induced in a coil due to its rotation in a magnetic field.
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