1
GATE EE 1999
MCQ (Single Correct Answer)
+2
-0.6
When a periodic triangular voltage peak amplitude $$1$$ $$V$$ and frequency $$0.5$$ $$Hz$$ is applied to a parallel combination of $$1\,\Omega $$ resistance and $$1$$ $$F$$ capacitance, the current through the voltage source has wave-form
A
GATE EE 1999 Electric Circuits - Network Elements Question 26 English Option 1
B
GATE EE 1999 Electric Circuits - Network Elements Question 26 English Option 2
C
GATE EE 1999 Electric Circuits - Network Elements Question 26 English Option 3
D
GATE EE 1999 Electric Circuits - Network Elements Question 26 English Option 4
2
GATE EE 1999
MCQ (Single Correct Answer)
+2
-0.6
When a resistor $$R$$ is connected to a current source, it consumes a power of $$18$$ $$W.$$ when the same $$R$$ is connected to a voltage source having the same magnitude as the current source, the power absorbed by $$R$$ is $$4.5$$ $$W.$$ The magnitude of the current source and the value of $$R$$ are
A
$$\sqrt {18} \,\,A$$ and $$1\,\Omega $$
B
$$3$$ $$A$$ and $$2$$ $$\Omega $$
C
$$1\,A$$ and $$18\,\,\Omega $$
D
$$6\,A$$ and $$0.5\,\,\Omega $$
3
GATE EE 1999
MCQ (Single Correct Answer)
+2
-0.6
Currents $${{\rm I}_1},\,{{\rm I}_2}$$ and $${{\rm I}_3}$$ meet at a junction (node) in a circuit. All currents are marked as entering the node. If $${{\rm I}_1} = - 6\sin \left( {\omega t} \right)$$ $$mA$$ and $${{\rm I}_2} = 8\cos \,\left( {\omega t} \right)\,mA,$$ then $${{\rm I}_3}$$ will be
A
$$10\,\cos \,\left( {\omega t + 36.87} \right)mA.$$
B
$$14\,\cos \,\left( {\omega t + 36.87} \right)mA.$$
C
$$-14\,\sin \,\left( {\omega t + 36.87} \right)mA.$$
D
$$-10\,\cos \,\left( {\omega t + 36.87} \right)mA.$$
4
GATE EE 1999
Subjective
+5
-0
Solve the circuit shown in Fig. using the mesh method of analysis and determine the mesh currents $${{\rm I}_1},\,{{\rm I}_2},$$ and $${{\rm I}_3}$$. Evaluate the power developed in the $$10$$ $$V$$ voltage source. GATE EE 1999 Electric Circuits - Network Elements Question 17 English
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