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JEE Main 2021 (Online) 25th July Evening Shift
Numerical
+4
-1
Two circuits are shown in the figure (a) & (b). At a frequency of ____________ rad/s the average power dissipated in one cycle will be same in both the circuits.

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2
JEE Main 2021 (Online) 25th July Morning Shift
Numerical
+4
-1
An inductor of 10 mH is connected to a 20V battery through a resistor of 10 k$$\Omega$$ and a switch. After a long time, when maximum current is set up in the circuit, the current is switched off. The current in the circuit after 1 $$\mu$$s is $${x \over {100}}$$ mA. Then x is equal to ___________. (Take e$$-$$1 = 0.37)
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3
JEE Main 2021 (Online) 20th July Evening Shift
Numerical
+4
-1
A series LCR circuit of R = 5$$\Omega$$, L = 20 mH and C = 0.5 $$\mu$$F is connected across an AC supply of 250 V, having variable frequency. The power dissipated at resonance condition is ______________ $$\times$$ 102 W.
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4
JEE Main 2021 (Online) 20th July Morning Shift
Numerical
+4
-1
In an LCR series circuit, an inductor 30 mH and a resistor 1 $$\Omega$$ are connected to an AC source of angular frequency 300 rad/s. The value of capacitance for which, the current leads the voltage by 45$$^\circ$$ is $${1 \over x} \times {10^{ - 3}}$$ F. Then the value of x is ____________.
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