1
GATE EE 2014 Set 2
+1
-0.3
The switch SW shown in the circuit is kept at position ‘1’ for a long duration. At t = 0+, the switch is moved to position ‘2’ Assuming $$\left|V_{02}\right|\;>\;\left|V_{01}\right|$$, the voltage $$V_C\left(t\right)$$ across capacitor is
A
$$v_c\left(t\right)=-V_{02}\left(1-e^{-t/2RC}\right)-V_{01}$$
B
$$v_c\left(t\right)=V_{02}\left(1-e^{-t/2RC}\right)+V_{01}$$
C
$$v_c\left(t\right)=-\left(V_{02}+V_{01}\right)\left(1-e^{-t/2RC}\right)-V_{01}$$
D
$$v_c\left(t\right)=\left(V_{02}-V_{01}\right)\left(1-e^{-t/2RC}\right)+V_{01}$$
2
GATE EE 2014 Set 2
Numerical
+2
-0
The total power dissipated in the circuit, show in the figure, is 1kW. The ideal voltmeter, across the load, reads 200 V. The value of XL is _________.
3
GATE EE 2014 Set 2
+2
-0.6
The voltage across the capacitor, as sown in the figure, is expressed as $$V_c\left(t\right)=A_1\sin\left(\omega_1t-\theta_1\right)+A_2\sin\left(\omega_2t-\theta_2\right)$$\$ The value of A1 and A2 respectively, are
A
2.0 and 1.98
B
2.0 and 4.20
C
2.5 and 3.50
D
5.0 and 6.40
4
GATE EE 2014 Set 2
+2
-0.6
Suppose that resistors $${R_1}$$ ܴand $${R_2}$$ ܴare connected in parallel to give an equivalent resistor $$R.$$ If resistors ܴ$${R_1}$$ and $${R_2}$$ ܴ have tolerance of $$1$$% each, the equivalent resistor ܴ$$R$$ for resistors ܴ$${R_1}$$$$=300$$ $$\Omega$$ and ܴ$${R_2} = 200\Omega$$ will have tolerance of
A
$$0.5\%$$
B
$$1\%$$
C
$$1.2\%$$
D
$$2\%$$
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