A potentiometer wire 10m long and having 20 resistance is connected in series with a battery and a resistance R =
21600. A Daniel cell of emf 1.08 v is balanced across the P.D of the resistance R. The emf of thermo coupled is balanced
across 300 cm of the wire. The emf of thermo couple is
(A) 2 mv
(B) 4 mv
(C) 3 mv
(D) 1 mv
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Asked on December 27, 2019 by
Shruthi Verma
A potentiometer wire of 10m length and 20 ohm resistance is connected in series with a resistance r ohms and a battery of emf 2V, negligible internal resistance, Potential gradient the wire is 0.16 millivolt/centimetre then r is ohms:
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ANSWER
Given that,
Resistance of the wire R=20 Ω
Potential meter length L=10 m
e. m. f E=2 volt
Potential gradient K=0.16 mv/cm
Now, the current is
I=
R+r
E
Potential across the wire is
V=IR
V=
R+r
ER
Potential gradient is
K=
L
V
K=
L(R+r)
ER
....(I)
Now, put the all values in equation (I)
0.016=
10(20+r)
2×20
3.2+0.16r=40
0.16r=40−3.2
0.16r=36.8
r=
0.16
36.8
r=230Ω
Hence, the value ofr is 230 Ω.
Explanation:
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