Fleming’s right hand rule
When a conductor moves
in a magnetic field, the direction of motion of the conductor, the field and
the induced current are given by Fleming’s right hand rule and is as follows:
The thumb, index finger
and middle finger of right hand are stretched out in mutually perpendicular
directions (as shown in Figure 4.8). If the index finger points the direction
of the magnetic field and the thumb indicates the direction of motion of the
conductor, then the middle finger will indicate the direction of the induced
current.
Fleming’s right hand
rule is also known as generator rule.
EXAMPLE 4.6
If the current i flowing in the straight conducting
wire as shown in the figure decreases, find out the direction of induced
current in the metallic square loop placed near it.
Solution
From right hand rule,
the magnetic field by the straight wire is directed into the plane of the square
loop perpendicularly and its magnetic flux is decreasing. The decrease in flux
is opposed by the current induced in the loop by producing a magnetic field in
the same direction as the magnetic field of the wire. Again from right hand
rule, for this inward magnetic field, the direction of the induced current in
the loop is clockwise.
EXAMPLE 4.7
The magnetic flux passes
perpendicular to the plane of the circuit and is directed into the paper. If
the magnetic flux varies with respect to time as per the following relation: ΦB
= (2t3 +3t2 + 8t +5) mWb
, what is the magnitude of the induced emf in the loop when t = 3 s? Find out
the direction of current through the circuit.
Solution
ΦB = (2t 3 +3t2 + 8t +5) mWb; N =1; t = 3 s
(ii) As time passes, the magnetic flux linked with the loop increases. According to Lenz’s law, the direction of the induced current should be in a way so as to oppose the flux increase. So, the induced current flows in such a way to produce a magnetic field opposite to the given field. This magnetic field is perpendicularly outwards. Therefore, the induced current flows in anti-clockwise direction.
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