12.
A certain length of a uniform wire of resistance 12 2 is bent into a circle and to
points, a quarter of circumference apart, are connected to a battery of e.m.f. 4 Val
internal resistance 1 2. Find the currents in the different parts of the circuit?
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12th
Physics
Current Electricity
Combinations of Cells and Problems on It
The length of uniform wire ...
PHYSICS
The length of uniform wire of resistance 10Ω is bent into a circle and two points at a quarter of circumference apart, are connected to a battery of e.m.f. 2.3V and internal resistance 1Ω. Then i
1
and i
2
are
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A
Q
=k
R=kl⇒R=k(2πr)⇒10=k(2πr)
r=
kπ
5
....(i)
l
1
=(
4
2πr
)⇒
2
πr
&l
2
=2πr=
2
πr
=
2
3
πr
R
EF
=(
R
1
+R
R
1
R
2
)=
k(l
1
+l
2
)
k
2
l
1
l
2
=
2πR
k
4
3
(πR)
2
=
8
3kπr
from (i) R
EE
=(
8
3
×5)=
8
15
I=
R
e
+r
1
E
=
8
15
+1
23
=(
23
24
)⇒0.8
V=R
EF
×0.8
V=1.5V
I
2
=
15
1.5
×2=0.2
I
1
=0.8−I
2
=0.6
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