1
GATE EE 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
A steady current I is flowing in the −x direction through each of two infinitely long wires at $$y=\pm\frac L2$$ as shown in the figure. The permeability of the medium is $$\mu_0$$. The $$\overrightarrow B$$ field at (0,L,0) is GATE EE 2015 Set 1 Electromagnetic Fields - Magnetostatics Question 21 English
A
$$\frac{-4\mu_0I}{3\mathrm{πL}}\widehat z$$
B
$$\frac{4\mu_0I}{3\mathrm{πL}}\widehat z$$
C
$$0$$
D
$$\frac{-3\mu_0I}{4\mathrm{πL}}\widehat z$$
2
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
Your input ____
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 ____________.
Your input ____
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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