1
AIEEE 2009
+4
-1
An inductor of inductance $$L=400$$ $$mH$$ and resistors of resistance $${R_1} = 2\Omega$$ and $${R_2} = 2\Omega$$ are connected to a battery of $$emf$$ $$12$$ $$V$$ as shown in the figure. The internal resistance of the battery is negligible. The switch $$S$$ is closed at $$t=0.$$ The potential drop across $$L$$ as a function of time is :
A
$${{12} \over t}{e^{ - 3t}}V$$
B
$$6\left( {1 - {e^{ - t/0.2}}} \right)V$$
C
$$12{e^{ - 5t}}V$$
D
$$6{e^{ - 5t}}V$$
2
AIEEE 2007
+4
-1
In an $$a.c.$$ circuit the voltage applied is $$E = {E_0}\,\sin \,\omega t.$$ The resulting current in the circuit is $$I = {I_0}\sin \left( {\omega t - {\pi \over 2}} \right).$$ The power consumption in the circuit is given by
A
$$P = \sqrt 2 {E_0}{I_0}$$
B
$$P = {{{E_0}{I_0}} \over {\sqrt 2 }}$$
C
$$P=zero$$
D
$$P = {{{E_0}{I_0}} \over 2}$$
3
AIEEE 2006
+4
-1
In a series resonant $$LCR$$ circuit, the voltage across $$R$$ is $$100$$ volts and $$R = 1\,k\Omega$$ with $$C = 2\mu F.$$ The resonant frequency $$\omega$$ is $$200$$ $$rad/s$$. At resonance the voltage across $$L$$ is
A
$$2.5 \times {10^{ - 2}}V$$
B
$$40$$ $$V$$
C
$$250$$ $$V$$
D
$$4 \times {10^{ - 3}}V$$
4
AIEEE 2006
+4
-1
In an $$AC$$ generator, a coil with $$N$$ turns, all of the same area $$A$$ and total resistance $$R,$$ rotates with frequency $$\omega$$ in a magnetic field $$B.$$ The maximum value of $$emf$$ generated in the coil is
A
$$N.A.B.R.$$$$\omega$$
B
$$N.A.B$$
C
$$N.A.B.R.$$
D
$$N.A.B.$$$$\omega$$
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