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Test Index
JEE Advanced 2018 Paper 2
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Section:
Physics
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© examsnet.com
Question : 10 of 54
Marks:
+1
,
-0
A moving coil galvanometer has 50 turns and each turn has an area
2
×
1
0
−
4
m
2
2 \times 10^{-4} \text{m}^2
2
×
1
0
−
4
m
2
.The magnetic field produced by the magnet inside the galvanometer is 0.02T . The torsional constant of the suspension wire is
1
0
4
Nmrad
−
1
10^{4} \text{Nmrad}^{-1}
1
0
4
Nmrad
−
1
.When a current flows through the galvanometer, a full scale deflection occurs if the coil rotates by 0.2rad.The resistance of the coil of the galvanometer is
50
Ω
50 \Omega
50Ω
This galvanometer is to be converted into an ammeter capable of measuring current in the range
0
−
1.0
A
0-1.0 \text{A}
0
−
1.0
A
.for this purpose, a shunt resistance is to be added in parallel to the galvanometer. The value of this shunt resistance, in ohms,is…..
[JEE Adv 2018 P2]
Your Answer:
Validate
Solution:
n
=
50
turns
A
=
2
×
1
0
−
4
m
2
B
=
0.02
T
K
=
1
0
−
4
m
2
n=50 \text{turns}\;\;\;\;\; A=2\times10^{-4}\text{m}^2\;\;\;\;\;B=0.02\text{T}\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;K=10^{-4}\text{m}^2
n
=
50
turns
A
=
2
×
1
0
−
4
m
2
B
=
0.02
T
K
=
1
0
−
4
m
2
Q
m
=
0.2
rad
R
g
=
50
Ω
I
A
=
0
−
1.0
A
τ
=
M
B
=
C
θ
,
M
=
n
I
A
Q_m=0.2 \text{rad}\;\;\;R_g=50 \Omega\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;I_A=0-1.0 \text{A}\;\;\;\;\;\;\;\;\;\;\;\;\;\;\; \tau=MB=C\theta,\ M=nIA
Q
m
=
0.2
rad
R
g
=
50Ω
I
A
=
0
−
1.0
A
τ
=
MB
=
Cθ
,
M
=
n
I
A
B
I
N
A
=
C
θ
;
0.02
×
1
×
50
×
2
×
1
0
−
4
=
1
0
−
4
×
0.210
I
g
=
0.1
A
BINA=C\theta;\;\;\;0.02\times1\times50\times2\times10^{-4}=10^{-4}\times0.210\;\;\;\;I_g=0.1 \text{A}
B
I
N
A
=
Cθ
;
0.02
×
1
×
50
×
2
×
1
0
−
4
=
1
0
−
4
×
0.210
I
g
=
0.1
A
For galvanometer, resistance is to be connected to ammeter in shunt.
I
g
×
R
g
=
(
I
−
I
g
)
S
0.1
×
50
=
(
1
−
0.1
)
S
S
=
50
9
=
5.55
I_g \times R_g = (I-I_g)S\;\;\;0.1\times50=(1-0.1)S\;\;\;S=\frac{50}{9}=5.55
I
g
×
R
g
=
(
I
−
I
g
)
S
0.1
×
50
=
(
1
−
0.1
)
S
S
=
9
50
=
5.55
© examsnet.com
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