1
JEE Main 2022 (Online) 30th June Morning Shift
Numerical
+4
-1

A series LCR circuit with $$R = {{250} \over {11}}\,\Omega$$ and $${X_L} = {{70} \over {11}}\,\Omega$$ is connected across a 220 V, 50 Hz supply. The value of capacitance needed to maximize the average power of the circuit will be _________ $$\mu$$F. (Take : $$\pi = {{22} \over 7}$$)

2
JEE Main 2022 (Online) 29th June Evening Shift
Numerical
+4
-1

An inductor of 0.5 mH, a capacitor of 200 $$\mu$$F and a resistor of 2 $$\Omega$$ are connected in series with a 220 V ac source. If the current is in phase with the emf, the frequency of ac source will be ____________ $$\times$$ 102 Hz.

3
JEE Main 2022 (Online) 28th June Evening Shift
Numerical
+4
-1

In the given circuit, the magnitude of VL and VC are twice that of VR. Given that f = 50 Hz, the inductance of the coil is $${1 \over {K\pi }}$$ mH. The value of K is ____________.

4
JEE Main 2022 (Online) 28th June Morning Shift
Numerical
+4
-1

An AC source is connected to an inductance of 100 mH, a capacitance of 100 $$\mu$$F and a resistance of 120 $$\Omega$$ as shown in figure. The time in which the resistance having a thermal capacity 2 J/$$^\circ$$C will get heated by 16$$^\circ$$C is _____________ s.