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Tardigrade
Question
Physics
A rectangular coil of 100 turns and size 0.1 m × 0.05 m is placed perpendicular to a magnetic field of 0.1 T. If the field drops to 0.05 T in 0.05 second, the magnitude of the e.m.f. induced in the coil is
Q. A rectangular coil of
100
turns and size
0.1
m
×
0.05
m
is placed perpendicular to a magnetic field of
0.1
T
. If the field drops to
0.05
T
in
0.05
second, the magnitude of the e.m.f. induced in the coil is
3065
188
KCET
KCET 2013
Electromagnetic Induction
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A
2
18%
B
3
22%
C
0.5
51%
D
6
8%
Solution:
Given,
n
=
100
turns,
A
=
0.1
×
0.05
m
2
B
1
=
0.1
T
,
B
2
=
0.05
T
,
d
t
=
0.05
s
We know that,
e
=
∣
∣
d
t
−
d
ϕ
∣
∣
=
d
t
d
(
n
B
A
cos
θ
)
=
d
t
n
A
d
B
c
o
s
θ
Here,
θ
=
0
∘
∴
e
=
d
t
n
A
d
B
=
0.05
100
×
0.1
×
0.05
×
(
0.1
−
0.05
)
⇒
e
=
0.5
V