Consider a capacitor and resistor connected in series to a sinusoidal voltage source. The voltage across the capacitor lags the voltage across the resistor by an angle θ degrees. What is the value of θ?

Consider the following statement: a) When resistance is connected to the AC source, the current leads the voltage. b) When resistance is connected to the AC source, the current lags behind the voltage. c) When resistance is connected to the AC source, the current and the voltage are in the same phase. Which of the following statement is correct?

A

Only a is correct

B

Only b is correct

C

Only c is correct

D

Both a and c are correct

The parallel combination of a 6.8 kΩ resistor and a 10 kΩ resistor is in series with the parallel combination of a 2.2 kΩ resistor and a 1 kΩ resistor. A 100 V source is connected across the circuit. The resistor(s) with the greatest voltage drop is (are)

A

6.8 kΩ

B

2.2 kΩ

C

6.8 kΩ and 10 kΩ

D

2.2 kΩ and 1 kΩ

What is the source voltage applied across a loop containing a resistor of 1000 ohm and capacitor of 15 microfarads in series when a current of 0.02 ampere flows across the circuit? Given that the voltage drop across capacitor is 5 Volts?

A

25 Volts

B

24 Volts

C

26 Volts

D

28 Volts

What is the source voltage applied across a loop containing a resistor of 100 ohm and capacitor of 15 microfarads in series when a current of 0.05 ampere flows across the circuit? Given that the voltage drop across capacitor is 2 Volts?

A

7 Volts

B

4 Volts

C

6 Volts

D

8 Volts

What is the source voltage applied across a loop containing a resistor of 500 ohm and capacitor of 10 microfarads in series when a current of 0.02 ampere flows across the circuit? Given that the voltage drop across capacitor is 2 Volts.

A

12 Volts

B

4 Volts

C

6 Volts

D

8 Volts

An RLC series circuit has a resistance R of 20Ω and a current which lags behind the applied voltage by 45°. If the voltage across the inductor is twice the voltage across the capacitor, the value of inductive resistance is ____________

A

10 Ω

B

20 Ω

C

40 Ω

D

60 Ω

Two resistors are in series: a 5.6 kΩ resistor and a 4.7 kΩ resistor. The voltage drop across the 5.6 kΩ resistor is 10 V. The voltage across the 4.7 kΩ resistor is

A

8.39 V

B

10 V

C

2.32 V

D

0 V

Availability of drinking water is continuously decreasing. The government decided to identify those sources of drinking water which getting polluted. The following table depicts the number of polluted sources in a district. Source of drinking water getting polluted Number Wells 24 Handpump 12 Dam 12 Borewell 6 Ponds 18 The pictograph table for the above table will be (A) Source of drinking water getting polluted Number symbol = 6 source Wells Handpump Dam Borewell Ponds (B) Source of drinking water getting polluted Number symbol = 6 source Wells Handpump Dam Borewell Ponds (C) Source of drinking water getting polluted Number symbol = 6 source Wells Handpump Dam Borewell Ponds (D) Source of drinking water getting polluted Number symbol = 6 source Wells Handpump Dam Borewell Ponds

A

B

C

D

C

A network consisting of a finite number of linear resistor (R), inducer (L), and capacitor (C) elements, connected all in series or all in parallel, is excited with a source of the form
$$\sum\limits_{k = 1}^3 {{a_x}\,\cos \left( {k{\omega _0}t} \right),{\rm{were}}\,{a_k} \ne 0,} \,{\omega _0} \ne 0.$$
The source has nonzero impedance. Which one of the following is a possible form of the output measured across a resistor in the network?

A

$$\sum\limits_{k = 1}^3 {{b_x}\,\cos \left( {k{\omega _0}t + {\phi _k}} \right),{\rm{were}}\,{b_k} \ne {a_k},} \,\forall K$$

B

$$\sum\limits_{k = 1}^3 {{b_x}\,\cos \left( {k{\omega _0}t + {\phi _k}} \right),{\rm{were}}\,{b_k} \ne 0,} \,\forall K$$

C

$$\sum\limits_{k = 1}^3 {{a_x}\,\cos \left( {k{\omega _0}t + {\phi _k}} \right)} $$

D

$$\sum\limits_{k = 1}^2 {{a_x}\,\cos \left( {k{\omega _0}t + {\phi _k}} \right)} $$

A 330 pF capacitor and a 220 pF capacitor are each connected across a 6 V dc source. The voltage across the 330 pF capacitor is

A

3 V

B

6 V

C

4 V

D

0 V

Consider a capacitor and resistor connected in series to a sinusoidal voltage source. The voltage across the capacitor lags the voltage across the resistor by an angle θ degrees. What is the value of θ?

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