An ac circuit has an inductor and a resistor resistance R in series, such that XL = 3R. Now, a capacitor is added in series such that XC = 2R. The ratio of new power factor with the old power factor of the circuit is $$\sqrt 5 :x$$. The value of x is ___________.
In the given figure the magnetic flux through the loop increases according to the relation $$\phi$$B(t) = 10t2 + 20t, where $$\phi$$B is in milliwebers and t is in seconds.
The magnitude of current through R = 2$$\Omega$$ resistor at t = 5 s is ___________ mA.
$$\left| i \right| = {{\left| \in \right|} \over R}$$ = 10t + 10 mA
at t = 5
$$\left| i \right|$$ = 60 mA
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JEE Main 2021 (Online) 27th July Morning Shift
Numerical
Consider an electrical circuit containing a two way switch 'S'. Initially S is open and then T1 is connected to T2. As the current in R = 6$$\Omega$$ attains a maximum value of steady state level, T1 is disconnected from T2 and immediately connected to T3. Potential drop across r = 3$$\Omega$$ resistor immediately after T1 is connected to T3 is __________ V. (Round off to the Nearest Integer)
Your Input ________
Answer
Correct Answer is 3
Explanation
What T1 and T2 are connected, then the steady state current in the inductor $$I = {6 \over 6} = 1A$$
When T1 and T3 are connected then current through inductor remains same. So potential difference across 3$$\Omega$$
V = Ir = 1 $$\times$$ 3 = 3 Volt
Questions Asked from Alternating Current and Electromagnetic Induction
On those following papers in Numerical
Number in Brackets after Paper Indicates No. of Questions
