Suppose voltage V is applied across a resistance R. The power dissipated in the resistance is P. Now the same voltage V is applied across a parallel combination of three equal resistors each of resistance R. Then the power dissipated in the second case will be

Given below are certain statements regarding the average power dissipated in different types of circuits. Identify the correct option. A. Maximum power dissipation occurs in the case of the resistive circuit and when the LCR circuit is at resonance. B. In the case of a purely inductive circuit, no power is dissipated. C. In the case of the RC circuit, power is dissipated in resistor and capacitor both.

A

Both A and B are correct

B

Both B and C are correct

C

Both A and C are correct

D

Only A is correct

Two 3.3 kΩ resistors are in series and this series combination is in parallel with a 4.7 kΩ resistor. The voltage across one of the 3.3 kΩ resistors is 12 V. The voltage across the 4.7 kΩ resistor is

A

24 V

B

12 V

C

0 V

D

6 V

The parallel combination of a 470 Ω resistor and a 1.2 kΩ resistor is in series with the parallel combination of three 3 kΩ resistors. A 200 V source is connected across the circuit. The resistor with the most current has a value of

A

470 Ω or 1.2 kΩ

B

3 kΩ

C

470 Ω

D

1.2 kΩ

A string of five series resistors is connected across a 6 V battery. Zero voltage is measured across all resistors except R3. The voltage across R3 is

A

0 V

B

1.2 V

C

6 V

D

0.6 V

If n resistors of unequal resistances are connected in parallel,and the percenrage error in all resistors are k then,total error in parallel combination is?

A

\(x \frac{∂z}{∂x}+y \frac{∂z}{∂y}=\frac{x^2+y^2}{x+y} e^{\frac{x^2+y^2}{x+y}}\)

B

\(x \frac{∂z}{∂x}+y \frac{∂z}{∂y}=1-\frac{x^2+y^2}{x+y} e^{\frac{x^2+y^2}{x+y}}\)

C

\(x \frac{∂z}{∂x}+y \frac{∂z}{∂y}=1+\frac{x^2+y^2}{x+y} e^{\frac{x^2+y^2}{x+y}}\)

D

\(x \frac{∂z}{∂x}+y \frac{∂z}{∂y}=-\frac{x^2+y^2}{x+y} e^{\frac{x^2+y^2}{x+y}}\)

A voltage source-series resistance combination is equivalent to a current source-parallel resistance combination if and only if their 1. Respective open-circuit voltages are equal 2. Respective short-circuit currents are equal 3. Resistance remains same in both cases Which of the above statements are correct?

A

1 and 2 only

B

1 and 3 only

C

2 and 3 only

D

1, 2 and 3

Two 30 Ω resistors are connected in parallel. What resistance should be connected in series with this parallel combination so that the power in each 30 Ω resistor is one fourth of the total power? Indicate your choice of correct answer.

A

30 Ω

B

15 Ω

C

10 Ω

D

120 Ω

Three 10 kΩ resistors are connected in series. A 20 kΩ resistor is connected in parallel across one of the 10 kΩ resistors. The voltage source is 24 V. The total current in the circuit is

A

900 μA

B

9 mA

C

90 mA

D

800 μA

The parallel combination of a 470 Ω resistor and a 1.5 kΩ resistor is in series with the parallel combination of five 1 kΩ resistors. The source voltage is 50 V. The percentage of the load current through any single 1 KΩ resistor is

A

25 %

B

20 %

C

100 %

D

50 %

The parallel combination of a 470 Ω resistor and a 680 Ω resistor is in series with the parallel combination of four 2 kΩ resistors. The total resistance is

A

1,650 Ω

B

1,078 Ω

C

77.8 Ω

D

778 Ω

Suppose voltage V is applied across a resistance R. The power dissipated in the resistance is P. Now the same voltage V is applied across a parallel combination of three equal resistors each of resistance R. Then the power dissipated in the second case will be

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