Answer:
Here,
and
are connected
in parallel, let their equivalent resistance be R'.
(1)
Now, the given circuit can be redrawn
as
(1)
Now,
and
are in
series, let their equivalent resistance be
Similarly,
and
are in
series.
Their equivalent resistance
Now, circuit can be redrawn
Now
and
are in
parallel, so equivalent resistance of the circuit.
Total current
(1)
Or
(a) Let the current through the
circuit be
which is divided
into
and
in the alms
AB and CD respectively, then
(1)
In the arm AB, the total
resistance is
(1/2)
and the total resistance in the
arm CD is
(1/2)
(i) Current in
resistor
Current through CD is
(1)
(ii)
Potential
difference across
resistor
is
(1)
(b) Bulbs are rated presuming
that they all are tobe connected with the same voltage supply (say 230 V in
India). In parallel combination, voltage remains same, so greater the watt,
greater the brightness.
Therefore, brightness (B) of
three bulbs are as follows
(1+1)
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