JEE MAIN - Physics (2021 - 1st September Evening Shift - No. 13)
For the given circuit the current i through the battery when the key in closed and the steady state has been reached is __________.
_1st_September_Evening_Shift_en_13_1.png)
_1st_September_Evening_Shift_en_13_1.png)
6 A
25 A
10 A
0 A
Explanation
We know in study state potential difference across
inductor = 0
So, equivalent circuit becomes
_1st_September_Evening_Shift_en_13_2.png)
$${1 \over {{R_{eq}}}} = {1 \over 3} + {1 \over 3} + {1 \over 3} = 1$$
$$\Rightarrow$$ Req = 1$$\Omega$$
$$\Rightarrow$$ Circuit becomes
_1st_September_Evening_Shift_en_13_3.png)
$$ \Rightarrow i = {{30} \over 3} = 10$$ A
So, equivalent circuit becomes
_1st_September_Evening_Shift_en_13_2.png)
$${1 \over {{R_{eq}}}} = {1 \over 3} + {1 \over 3} + {1 \over 3} = 1$$
$$\Rightarrow$$ Req = 1$$\Omega$$
$$\Rightarrow$$ Circuit becomes
_1st_September_Evening_Shift_en_13_3.png)
$$ \Rightarrow i = {{30} \over 3} = 10$$ A
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