1
GATE ECE 2014 Set 1
+1
-0.3

Consider the configuration shown in the figure which is a portion of a larger electrical network

For R = 1 Ω and currents i1 = 2A, i4 = -1A, i5 = -4A, which one of the following is TRUE?

A
i6 = 5 A
B
i3 = -4 A
C
Data is sufficient to conclude that the supposed currents are impossible
D
Data is insufficient to identify the current i2,i3 and i6.
2
GATE ECE 2013
+1
-0.3

Consider a delta connection of resistors and its equivalent star connection as shown below. If all elements of the delta connection are scaled by a factor k, k > 0, the elements of the corresponding star equivalent will be scaled by a factor of

A
k2
B
k
C
1/k
D
$$\sqrt{\mathrm k}$$
3
GATE ECE 2012
+1
-0.3

In the circuit shown below, current through the inductor is

A
$$\frac2{1\;+\;\mathrm j}\mathrm A$$
B
$$\frac{-1}{1\;+\;\mathrm j}\mathrm A$$
C
$$\frac1{1\;+\;\mathrm j}\mathrm A$$
D
0 A
4
GATE ECE 2012
+1
-0.3

The independence looking into nodes 1 and 2 in the given circuit is

A
50 Ω
B
100 Ω
C
5 kΩ
D
10.1 kΩ
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