1
AIEEE 2006
+4
-1
The flux linked with a coil at any instant $$'t'$$ is given by
$$\phi = 10{t^2} - 50t + 250$$
The induced $$emf$$ at $$t=3s$$ is
A
$$-190$$ $$V$$
B
$$-10$$ $$V$$
C
$$10$$ $$V$$
D
$$190$$ $$V$$
2
AIEEE 2006
+4
-1
An inductor $$(L=100$$ $$mH)$$, a resistor $$\left( {R = 100\,\Omega } \right)$$ and a battery $$\left( {E = 100V} \right)$$ are initially connected in series as shown in the figure. After a long time the battery is disconnected after short circuiting the points $$A$$ and $$B$$. The current in the circuit $$1$$ $$ms$$ after the short circuit is
A
$$1/eA$$
B
$$eA$$
C
$$0.1$$ $$A$$
D
$$1$$ $$A$$
3
AIEEE 2005
+4
-1
A coil of inductance $$300$$ $$mH$$ and resistance $$2\,\Omega$$ is connected to a source of voltage $$2$$ $$V$$. The current reaches half of its steady state value in
A
$$0.1$$ $$s$$
B
$$0.05$$ $$s$$
C
$$0.3$$ $$s$$
D
$$0.15$$ $$s$$
4
AIEEE 2005
+4
-1
One conducting $$U$$ tube can slide inside another as shown in figure, maintaining electrical contacts between the tubes. The magnetic field $$B$$ is perpendicular to the plane of the figure. If each tube moves towards the other at a constant speed $$v,$$ then the $$emf$$ induced in the circuit in terms of $$B,l$$ and $$v$$ where $$l$$ is the width of each tube, will be
A
$$-Blv$$
B
$$blv$$
C
$$2$$ $$Blv$$
D
zero
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