1
GATE EE 1998
Subjective
+5
-0
An infinite number of charges, each equal to $$'q'$$ are placed along the $$x=1,x=2, x=4, x=8, x=16$$ and so on, Find the potential and electric field at point $$x=0,$$ due to these system of charges.
2
GATE EE 1998
Subjective
+5
-0
An electron moves in the $$X$$-$$Y$$ plane with a speed of $${10^6}\,\,m/s.$$ Its velocity vector makes an angle of $${60^ \circ }$$ with $$X$$ axis. A magnetic field of magnitude $${10^{ - 2}}T$$ exists along the $$Y$$ axis. Compute the magnetic force exerted on the electron and its direction.
3
GATE EE 1998
MCQ (Single Correct Answer)
+1
-0.3
The laws of electromagnetic induction (Faraday's and Lenz's law) are summarized in the following equation
A
$$e = iR$$
B
$$e = L{{di} \over {dt}}$$
C
$$e = - {{d\psi } \over {dt}}$$
D
none of these
4
GATE EE 1998
MCQ (Single Correct Answer)
+1
-0.3
$$A = \left[ {\matrix{ 2 & 0 & 0 & { - 1} \cr 0 & 1 & 0 & 0 \cr 0 & 0 & 3 & 0 \cr { - 1} & 0 & 0 & 4 \cr } } \right].$$ The sum of the eigen values of the matrix $$A$$ is
A
$$10$$
B
$$-10$$
C
$$-24$$
D
$$22$$
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