JEE Main 2020 (Online) 2nd September Evening Slot | Alternating Current Question 128 | Physics

An inductance coil has a reactance of 100 $$\Omega $$. When an AC signal of frequency 1000 Hz is applied to the coil, the applied voltage leads the current by 45^o. The self-inductance of the coil is

6.7 $$ \times $$ 10^–7 H

1.1 $$ \times $$ 10^–1 H

5.5 $$ \times $$ 10^–5 H

1.1 $$ \times $$ 10^–2 H

JEE Main 2020 (Online) 9th January Evening Slot

MCQ (Single Correct Answer)

-1

In LC circuit the inductance L = 40 mH and
capacitance C = 100 $$\mu $$F. If a voltage
V(t) = 10sin(314t) is applied to the circuit, the
current in the circuit is given as :

0.52 cos 314 t

5.2 cos 314 t

0.52 sin 314 t

10 cos 314 t

JEE Main 2020 (Online) 7th January Evening Slot

MCQ (Single Correct Answer)

-1

An emf of 20 V is applied at time t = 0 to a circuit containing in series 10 mH inductor and 5 $$\Omega $$ resistor. The ratio of the currents at time t = $$\infty $$ and at t = 40 s is close to : (Take e² = 7.389)

1.06

0.84

1.15

1.46

JEE Main 2020 (Online) 7th January Morning Slot

MCQ (Single Correct Answer)

-1

A LCR circuit behaves like a damped harmonic oscillator. Comparing it with a physical spring-mass damped oscillator having damping constant 'b', the correct equivalence would be:

L $$ \leftrightarrow $$ k, C $$ \leftrightarrow $$ b, R $$ \leftrightarrow $$ m

L $$ \leftrightarrow $$ m, C $$ \leftrightarrow $$ k, R $$ \leftrightarrow $$ b

L $$ \leftrightarrow $$ m, C $$ \leftrightarrow $$ $${1 \over k}$$, R $$ \leftrightarrow $$ b

L $$ \leftrightarrow $$ $${1 \over b}$$, C $$ \leftrightarrow $$ $${1 \over m}$$, R $$ \leftrightarrow $$ $${1 \over k}$$

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