1
GATE EE 2015 Set 1
Numerical
+1
-0
Consider a one-turn rectangular loop of wire placed in a uniform magnetic field as shown in the figure. The plane of the loop is perpendicular to the field lines. The resistance of the loop is 0.4 Ω, and its inductance is negligible. The magnetic flux density (in Tesla) is a function of time, and is given by B(t) = 0.25 sinωt, where ω = 2𝜋×50 radian/second. The power absorbed (in Watt) by the loop from the magnetic field is ________. GATE EE 2015 Set 1 Electromagnetic Fields - Time Varying Fields Question 9 English
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2
GATE EE 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
If a continuous function $$f(x)$$ does not have a root in the interval $$\left[ {a,b} \right],\,\,$$ then which one of the following statements is TRUE?
A
$$f\left( a \right).\,f\left( b \right) = 0$$
B
$$f\left( a \right).f\left( b \right) < 0$$
C
$$f\left( a \right).f\left( b \right) > 0$$
D
$$f\left( a \right)/f\left( b \right) \le 0$$
3
GATE EE 2015 Set 1
Numerical
+1
-0
If the sum of the diagonal elements of a $$2 \times 2$$ matrix is $$-6$$, then the maximum possible value of determinant of the matrix is ____________.
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4
GATE EE 2015 Set 1
MCQ (Single Correct Answer)
+2
-0.6
The maximum value of $$'a'$$ such that the matrix $$\left[ {\matrix{ { - 3} & 0 & { - 2} \cr 1 & { - 1} & 0 \cr 0 & a & { - 2} \cr } } \right]$$ has three linearly independent real eigenvectors is
A
$${2 \over {3\sqrt 3 }}$$
B
$${1 \over {3\sqrt 3 }}$$
C
$${{1 + 2\sqrt 3 } \over {3\sqrt 3 }}$$
D
$${{1 + \sqrt 3 } \over {3\sqrt 3 }}$$
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