1
GATE EE 2015 Set 1
+1
-0.3
An inductor is connected in parallel with a capacitor as shown in the figure. As the frequency of current i is increased, the impedance (Z) of the network varies as
A
B
C
D
2
GATE EE 2015 Set 2
+1
-0.3
Find the transformer ratios a and b that the impedance (Zin) is resistive and equal 2.5 Ω when the network is excited with a sine wave voltage of angular frequency of 5000 rad/s.
A
a = 0.5, b = 2.0
B
a = 2.0, b = 0.5
C
a = 1.0, b = 1.0
D
a = 4.0, b = 0.5
3
GATE EE 2012
+1
-0.3
The average power delivered to an impedance $$\left(4-j3\right)$$ Ω by a current $$5\cos\left(100\mathrm{πt}+100\right)\;A$$ is
A
44.2 W
B
50 W
C
62.5 W
D
125 W
4
GATE EE 2012
+1
-0.3
A two phase load draws the following phase currents: $$i_1\left(t\right)=I_m\sin\left(\omega t-\phi_1\right)$$, $$i_2\left(t\right)=I_m\cos\left(\omega t-\phi_2\right)$$. These currents are balanced if $$\phi_1$$ is equal to
A
-$$\phi_2$$
B
$$\phi_2$$
C
$$\left(\mathrm\pi/2\;-\;{\mathrm\phi}_2\right)$$
D
$$\left(\mathrm\pi/2\;+\;{\mathrm\phi}_2\right)$$
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