
For example, in the above diagram, if I only knew the current flowed upwards I would point my thumb up and grab the conductor. The direction my fingers coil is the direction the magnetic field is in.
RHR # 2 is used for coils. In a coiled conductor or solenoid, the thumb will always point to the north pole of the magnet and the fingers will point in the direction of current flow. Inside the coil, the thumb also represents the direction of the magnetic field.
The left hand rules are similar to the right hand rules, except they are used for electron currents, or when the charge flows from negative to positive.
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