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  4. A 110 V , 50 Hz, AC source is connected in the circuit (as shown in figure). The current through the resistance 55 Ω, at resonance in the circuit, will be.... A.

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Q. A $110\, V , 50\, Hz, AC$ source is connected in the circuit (as shown in figure). The current through the resistance $55\, \Omega$, at resonance in the circuit, will be.... $A$.Physics Question Image

JEE MainJEE Main 2022Alternating Current

Solution:

At resonance $I _{ L }= I _{ C }$
image
Alternatively,
$\frac{1}{ Z }=\sqrt{\left(\frac{1}{ X _{ L }}-\frac{1}{ X _{ C }}\right)^{2}}$
At resonance, $X _{ L }= X _{ C }\, \&\, Z \rightarrow \infty$
$\therefore Z _{\text {total circuit }} \rightarrow \infty \text { i.e, } I =0$