JEE MAIN - Physics (2021 - 25th February Morning Shift - No. 4)
The angular frequency of alternating current in a L-C-R circuit is 100 rad/s. The components connected are shown in the figure. Find the value of inductance of the coil and capacity of condenser.
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0.8 H and 150 $$\mu$$F
0.8 H and 250 $$\mu$$F
1.33 H and 150 $$\mu$$F
1.33 H and 250 $$\mu$$F
Explanation
_25th_February_Morning_Shift_en_4_2.png)
Since key is open, circuit is series
15 = irms (60)
$$ \therefore $$ irms = $${1 \over 4}$$A
Now, 20 = $${1 \over 4}$$ XL = $${1 \over 4}$$ ($$\omega$$L)
$$ \therefore $$ L = $${4 \over 5}$$ = 0.8 H
and 10 = $${1 \over 4}$$$${1 \over (100C)}$$
C = $${1 \over 4000}$$F = 250$$\mu$$F
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