1
JEE Main 2021 (Online) 20th July Evening Shift
+4
-1
For a series LCR circuit with R = 100 $$\Omega$$, L = 0.5 mH and C = 0.1 pF connected across 220V$$-$$50 Hz AC supply, the phase angle between current and supplied voltage and the nature of the circuit is :
A
0$$^\circ$$, resistive circuit
B
$$\approx$$ 90$$^\circ$$, predominantly inductive circuit
C
0$$^\circ$$, resonance circuit
D
$$\approx$$ 90$$^\circ$$, predominantly capacitive circuit
2
JEE Main 2021 (Online) 20th July Morning Shift
+4
-1
AC voltage V(t) = 20 sin$$\omega$$t of frequency 50 Hz is applied to a parallel plate capacitor. The separation between the plates is 2 mm and the area is 1 m2. The amplitude of the oscillating displacement current for the applied AC voltage is _________. [Take $$\varepsilon$$0 = 8.85 $$\times$$ 10$$-$$12 F/m]
A
55.58 $$\mu$$A
B
21.14 $$\mu$$A
C
27.79 $$\mu$$A
D
83.37 $$\mu$$A
3
JEE Main 2021 (Online) 18th March Evening Shift
+4
-1
In a series LCR circuit, the inductive reactance (XL) is 10$$\Omega$$ and the capacitive reactance (XC) is 4$$\Omega$$. The resistance (R) in the circuit is 6$$\Omega$$. The power factor of the circuit is :
A
$${1 \over 2}$$
B
$${{\sqrt 3 } \over 2}$$
C
$${1 \over {\sqrt 2 }}$$
D
$${1 \over {2\sqrt 2 }}$$
4
JEE Main 2021 (Online) 18th March Evening Shift
+4
-1
The time taken for the magnetic energy to reach 25% of its maximum value, when a solenoid of resistance R, inductance L is connected to a battery, is :
A
infinite
B
$${L \over R}$$ ln10
C
$${L \over R}$$ ln2
D
$${L \over R}$$ ln5
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