1
GATE EE 2011
MCQ (Single Correct Answer)
+2
-0.6
A capacitor is made with a polymeric dielectric having an $$\varepsilon_0$$ of 2.26 and a dielectric breakdown strength of 50 kV/cm. The permittivity of free space is 8.85 pF/m. If the rectangular plates of the capacitor have a width of 20 cm and a length of 40 cm, then the maximum electric charge in the capacitor is
A
2 µC
B
4 µC
C
8 µC
D
10 µC
2
GATE EE 2011
MCQ (Single Correct Answer)
+2
-0.6
Given $$f(t)$$ and $$g(t)$$ as shown below GATE EE 2011 Engineering Mathematics - Transform Theory Question 10 English

$$g(t)$$ can be expressed as

A
$$g(t)=f(2t-3)$$
B
$$g\left( t \right) = f\left( {{t \over 2} - 3} \right)$$
C
$$g\left( t \right) = f\left( {2t - {3 \over 2}} \right)$$
D
$$g\left( t \right) = f\left( {{t \over 2} - {3 \over 2}} \right)$$
3
GATE EE 2011
MCQ (Single Correct Answer)
+2
-0.6
Given $$f(t)$$ and $$g(t)$$ as shown below GATE EE 2011 Engineering Mathematics - Transform Theory Question 9 English

The laplace transform of $$g(t)$$ is

A
$${1 \over s}\left[ {{e^{ - 3s}} - {e^{ - 5s}}} \right]$$
B
$${1 \over s}\left[ {{e^{ - 5s}} - {e^{ - 3s}}} \right]$$
C
$${{{e^{ - 3s}}} \over s}\left[ {1 - {e^{ - 2s}}} \right]$$
D
$${1 \over s}\left[ {{e^{ - 5s}} - {e^{ - 3s}}} \right]$$
4
GATE EE 2011
MCQ (Single Correct Answer)
+2
-0.6
A point $$z$$ has been plotted in the complex plane as shown in the figure below GATE EE 2011 Engineering Mathematics - Complex Variable Question 3 English

The plot of the complex number $$w = 1/z$$

A
GATE EE 2011 Engineering Mathematics - Complex Variable Question 3 English Option 1
B
GATE EE 2011 Engineering Mathematics - Complex Variable Question 3 English Option 2
C
GATE EE 2011 Engineering Mathematics - Complex Variable Question 3 English Option 3
D
GATE EE 2011 Engineering Mathematics - Complex Variable Question 3 English Option 4
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