3) The heat generated is 5.4 x 10^ J when a potential difference of 50 V is applied to a coil. Find the current in the coil when passed for 3 minutes to generate this heat.
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Answer:
Heat produced , H=I
2
Rt
here,
t
H
5
=I
5
2
R
5
=10⇒I
5
=
5
10
=
2
. This is the current through resistor 5Ω.
Voltage across resistor 5Ω is V
5
=I
5
R
5
=
2
×5=5
2
V
As resistors (4,6) and 5 are in parallel, so potential across (4,6) is equal to V
5
.
As resistor 4 and 6 are in series so current through each resistor I
4
=I
6
=
4+6
V
5
=
4+6
5
2
=
2
2
Heat produce in resistor 4 per sec =I
4
2
R
4
=(
2
2
)
2
×(4)=2cal/sec
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