1
AIEEE 2010
+4
-1
A rectangular loop has a sliding connector $$PQ$$ of length $$l$$ and resistance $$R$$ $$\Omega$$ and it is moving with a speed $$v$$ as shown. The set-up is placed in a uniform magnetic field going into the plane of the paper. The three currents $${I_1},{I_2}$$ and $$I$$ are A
$${I_1} = - {I_2} = {{Blv} \over {6R}},\,\,I = {{2Blv} \over {6R}}$$
B
$${I_1} = {I_2} = {{Blv} \over {3R}},\,\,I = {{2Blv} \over {3R}}$$
C
$${I_1} = {I_2} = I = {{Blv} \over R}$$
D
$${I_1} = {I_2} = {{Blv} \over {6R}},I = {{Blv} \over {3R}}$$
2
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
$$6{e^{ - 5t}}V$$
3
AIEEE 2008
+4
-1
Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross-sectional area $$A=$$ $$10\,\,c{m^2}$$ and length $$=20$$ $$cm$$ . If one of the solenoid has $$300$$ turns and the other $$400$$ turns, their mutual inductance is
$$\left( {{\mu _0} = 4\pi \times {{10}^{ - 7}}\,Tm\,{A^{ - 1}}} \right)$$
A
$$2.4\pi \times {10^{ - 5}}H$$
B
$$4.8\pi \times {10^{ - 4}}H$$
C
$$4.8\pi \times {10^{ - 5}}H$$
D
$$2.4\pi \times {10^{ - 4}}H$$
4
AIEEE 2007
+4
-1
An ideal coil of $$10H$$ is connected in series with a resistance of $$5\Omega$$ and a battery of $$5V$$. $$2$$ second after the connection is made, the current flowing in ampere in the circuit is
A
$$\left( {1 - {e^{ - 1}}} \right)$$
B
$$\left( {1 - e} \right)$$
C
$$e$$
D
$${{e^{ - 1}}}$$
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