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JEE Main 1-Sep-2021 Shift 2 Solved Paper
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© examsnet.com
Question : 14
Total: 90
For the given circuit the current
i
through the battery when the key in closed and the steady state has been reached is
[1 Sep 2021 Shift 2]
6
A
25
A
10
A
0
Validate
Solution:
In the steady state, the inductor behaves as a conducting wire.So, the equivalent circuit becomes as shown below.
Equivalent resistance of
R
1
,
R
2
and
R
3
is given as,
1
R
′
=
1
R
1
+
1
R
2
+
1
R
3
1
R
′
=
1
3
+
1
3
+
1
3
⇒
R
eq
=
1
Ω
Now, the circuit becomes
R
eq
=
2
+
1
=
3
Ω
Voltage, V = 30 V
Using the Ohm’s law,
V = IR
30 = I (3)
⇒ I = 10 A
∴ The steady state current is 10 A.
© examsnet.com
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