JEE MAIN - Physics (2023 - 29th January Evening Shift - No. 10)
For the given figures, choose the correct options :
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The rms current in circuit (b) can be larger than that in (a)
The rms current in figure (a) is always equal to that in figure (b)
The rms current in circuit (b) can never be larger than that in (a)
At resonance, current in (b) is less than that in (a)
Explanation
For (a), $$i = {V \over R} = {{220} \over {40}} = 5.5\,A$$
for (b), $${X_C} = {1 \over {2\pi fC}} = {1 \over {2\pi \times 50 \times 0.5 \times {{10}^{ - 6}}}} = {{{{10}^6}} \over {50\pi }}\Omega $$
$${X_L} = 2\pi fL = 2\pi \times 50 \times 50 \times {10^{ - 3}} = 50\pi \,\Omega $$
$${X_C} > {X_L}$$, hence impedance is greater than 40 $$\Omega$$.
$${i_{rms}} = {{220} \over Z}$$
$$\therefore$$ $${\left. {{i_{rms}}} \right|_b} < {\left. {{i_{rms}}} \right|_a}$$
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