Two inductors, L1 and L2, are in parallel. L1 has a value of 25 µH and L2 a value of 50 µH. The parallel combination is in series with L3, a 20 µH coil. The entire combination is across an ac source of 60 Vrms at 300 kHz. The total rms current is

For any two languages L1 and L2 such that L1 is context-free and L2 is recursively enumerable but not recursive, which of the following is/are necessarily true? I. L̅1 (complement of L1) is recursive II. L̅2 (complement of L2) is recursive III. L̅1 is context-free IV. L̅1 ∪ L2 is recursively enumerable

A

I only

B

III only

C

III and IV only

D

I and IV only

When an electric current coil of a wattmeter is connected to the electric current path R and the voltage coil is connected between the electric current R path and the neutral side of the balanced three phase supply, it shows 10 kW. The line voltage along the phase sequence RYB is 400 V. The current drawn by the current path is 54 A. What is the new reading of the wattmeter if the voltage coil is connected between the lines B and the Y paths, even if the electric current coil is continuously present in the line R?

A

13 kW

B

0

C

-13 kW

D

20 kW

Two 10 H inductors are in parallel and the parallel combination is in series with a third 10 H inductor. What is the approximate total reactance when a voltage with a frequency of 7 kHz is applied across the circuit terminals?

A

219 kΩ

B

66 kΩ

C

660 kΩ

D

1.3 MΩ

In a series RC circuit, 12 V(rms) is measured across the resistor and 15 V(rms) is measured across the capacitor. The rms source voltage is

A

3 V

B

27 V

C

19.2 V

D

1.9 V

Two series resistors are connected to an ac source. If there are 7.5 V rms across one resistor and 4.2 V rms across the other, the peak source voltage is

A

16.54 V

B

1.65 V

C

10.60 V

D

5.93 V

A three-winding transformer is connected to an AC source with 50 V rms as shown in the following figure. Voltages induced in the secondary windings are 2 V rms and 8 V rms. The output rms voltage V0 is,

A

-6 V

B

10 V

C

-10 V

D

6 V

A 6.8 kΩ resistor, a 7 mH coil, and a 0.02 µF capacitor are in parallel across a 17 kHz ac source. The coil's internal resistance, R_W, is 30 Ω. The equivalent parallel resistance, R_p(eq), is

A

1,878 Ω

B

18,780 Ω

C

18,750 Ω

D

626 Ω

A signal containing only two frequency components (3 kHz and 6 kHz) is sampled at the rate of 8 kHz, and then passed through a low pass filter with a cut-off frequency of 8 kHz. The filter output

A

Is an undistorted version of the original signal

B

Contains only the 3 kHz component

C

Contains the 3 kHz component and a spurious component of 2 kHz

D

Contains both the components of the original signal and two spurious components of 2 kHz and 5 kHz

একটি স্টেপ আপ ট্রান্সফরমারে, গৌণ কুণ্ডলীর পাকসংখ্যা মুখ্য কুন্ডলীর পাকসংখ্যার দ্বিগুণ। যদি মূখ্য কুন্ডলীকে কোন পরিবর্তী বিদ্যুৎ লাইনের সাথে সংযুক্ত করা হয়, তাহলে মুখ্য কুণ্ডলীর তুলনায় গৌণ কুণ্ডলীতে- (In a step up transformer, the number of turns in the secondary coil is twice to that of primary coil. If you apply an alternating current in the primary coil, then in the secondary coil compared to the primary coil-)

A

তড়িৎ প্রবাহের মান দ্বিগুণ হবে (current will be doubled)

B

তড়িৎ প্রবাহের মান অর্ধেক হবে (current will be halved)

C

তড়িৎ বিভবের মান অর্ধেক হবে (voltage will be halved)

D

তড়িৎ প্রবাহের মান সমান থাকবে (Current will remain the same)

In a parallel RL circuit, there are 3 A rms in the resistive branch and 3 A rms in the inductive branch. The total rms current is

A

6 A

B

424 mA

C

4.24 A

D

42.4 A

Two inductors, L1 and L2, are in parallel. L1 has a value of 25 µH and L2 a value of 50 µH. The parallel combination is in series with L3, a 20 µH coil. The entire combination is across an ac source of 60 Vrms at 300 kHz. The total rms current is

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