1
JEE Main 2022 (Online) 25th June Evening Shift
Numerical
+4
-1

In a series LCR circuit, the inductance, capacitance and resistance are L = 100 mH, C = 100 $$\mu$$F and R = 10 $$\Omega$$ respectively. They are connected to an AC source of voltage 220 V and frequency of 50 Hz. The approximate value of current in the circuit will be ___________ A.

2
JEE Main 2022 (Online) 24th June Morning Shift
Numerical
+4
-1

As shown in the figure an inductor of inductance 200 mH is connected to an AC source of emf 220 V and frequency 50 Hz. The instantaneous voltage of the source is 0 V when the peak value of current is $${{\sqrt a } \over \pi }$$ A. The value of $$a$$ is ___________.

3
JEE Main 2021 (Online) 31st August Evening Shift
Numerical
+4
-1
At very high frequencies, the effective impendence of the given circuit will be ________________ $$\Omega$$.

4
JEE Main 2021 (Online) 27th August Evening Shift
Numerical
+4
-1
An ac circuit has an inductor and a resistor resistance R in series, such that XL = 3R. Now, a capacitor is added in series such that XC = 2R. The ratio of new power factor with the old power factor of the circuit is $$\sqrt 5 :x$$. The value of x is ___________.