1
JEE Main 2021 (Online) 22th July Evening Shift
+4
-1
In a circuit consisting of a capacitance and a generator with alternating emf Eg = Eg0 sin$$\omega$$t, VC and IC are the voltage and current. Correct phasor diagram for such circuit is

A
B
C
D
2
JEE Main 2021 (Online) 22th July Evening Shift
+4
-1
Match List - I with List - II

List - I List - II
(a) $$\omega L > {1 \over {\omega C}}$$ (i) Current is in phase with emf
(b) $$\omega L = {1 \over {\omega C}}$$ (ii) Current lags behind the applied emf
(c) $$\omega L < {1 \over {\omega C}}$$ (iii) Maximum current occurs
(d) Resonant frequency (iv) Current leads the emf

Choose the correct answer from the options given below
A
a(ii), b(i), c(iv), d(iii)
B
a(ii), b(i), c(iii), d(iv)
C
a(iii), b(i), c(iv), d(ii)
D
a(iv), b(iii), c(ii), d(i)
3
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
4
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
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