1
GATE EE 2006
+2
-0.6
An ideal capacitor is charged to a voltage $${V_0}$$ and connected at $$t=0$$ across an ideal inductor $$L.$$ (The circuit now consists of a capacitor and inductor alone). If we let $${\omega _0} = 1/\sqrt {LC} ,$$ the voltage across the capacitor at time $$t>0$$ is given by
A
$${V_0}$$
B
$${V_0}\cos \left( {{\omega _0}t} \right)$$
C
$${V_0}son\left( {{\omega _0}t} \right)$$
D
$${V_0}{e^{ - {\omega _0}t}}\cos \left( {{\omega _0}t} \right)$$
2
GATE EE 2005
+2
-0.6
A coil of inductance $$10$$ $$H$$ resistance $$40\,\,\Omega$$ is connected as shown in Fig. After the switch $$S$$ has been in connection with point $$1$$ for a very long time, it is moved to point $$2$$ at $$t = 0.$$

For the value of $$R$$ obtained in the above question, the time taken for $$95\%$$ of the stored energy to be dissipated is close to

A
$$0.10$$ $$sec$$
B
$$0.15$$ $$sec$$
C
$$0.50$$ $$sec$$
D
$$1.0$$ $$sec$$
3
GATE EE 2005
+2
-0.6
A coil of inductance $$10$$ $$H$$ resistance $$40\,\,\Omega$$ is connected as shown in Fig. After the switch $$S$$ has been in connection with point $$1$$ for a very long time, it is moved to point $$2$$ at $$t = 0.$$

If, at $$t = {0^ + }$$, the voltage across the coil is $$120$$ $$V,$$ the value of resistance $$R$$ is A
$$0$$ $$\Omega$$
B
$$20$$ $$\Omega$$
C
$$40$$ $$\Omega$$
D
$$60$$ $$\Omega$$
4
GATE EE 2005
+2
-0.6
The circuit shown in the Fig. is in steady state, when the switch is closed at $$t=0.$$ Assuming that the inductance is ideal, the current through the inductor at $$t = {0^ + }$$ equals A
$$0$$ $$A$$
B
$$0.5$$ $$A$$
C
$$1$$ $$A$$
D
$$2$$ $$A$$
GATE EE Subjects
Electric Circuits
Electromagnetic Fields
Signals and Systems
Electrical Machines
Engineering Mathematics
General Aptitude
Power System Analysis
Electrical and Electronics Measurement
Analog Electronics
Control Systems
Power Electronics
Digital Electronics
EXAM MAP
Medical
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