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JEE Main 2015 Paper
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Section:
Physics
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© examsnet.com
Question : 71 of 90
Marks:
+1
,
-0
An LCR circuit is equivalent to a damped pendulum. In an LCR circuit the capacitor is charged to
Q
0
Q_0
Q
0
then connected to the L and R as shown.
If a student plots graphs of the square of maximum charge
Q
max
2
Q_{\max}^2
Q
m
a
x
2
on the capacitor with time (t) for two different values
L
1
L_1
L
1
and
L
2
(
L
1
>
L
2
)
L_2(L_1 > L_2)
L
2
(
L
1
>
L
2
)
of L then which of the following represents this graph correctly? (Plots are schematic and not drawn to scale)
[Main 2015]
Validate
Solution:
As
L
1
>
L
2
L_1 > L_2
L
1
>
L
2
therefore
1
2
L
1
i
2
>
1
2
L
2
i
2
\frac{1}{2} L_1 i^2 > \frac{1}{2} L_2 i^2
2
1
L
1
i
2
>
2
1
L
2
i
2
∴Rate of energy dissipated through R from
L
1
L_1
L
1
will be slower as compared to
L
2
L_2
L
2
.
© examsnet.com
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