Voltmeters V₁ and V₂ are connected in series across a D.C. line. V₁ reads 80 V and has a per volt resistance of 200 Ω. V₂ has a total resistance of 32 kΩ. What is the line voltage?

Solution

Given, voltmetres V₁ and V₂ are connected in series across a D.C line.

Potential across V₁ = 80 V
Per volt resistance, R= 200 Ω

The resistance R₁ of voltmeter V₁ is given by
R₁ = 80 x 200 = 16000 Ω = 16 k Ω

Current in the circuit,
$I = \frac{V_{1}}{R_{1}} = \frac{80}{16000} = 5 \times 10^{- 3} A$

Reading of voltmeter, V₂= IR₂
= (5 x 10^–3) x (32 x 10³)
= 160 V.

∴ Line voltage, V = V₁ + V₂ = 80 + 160 = 240 V.

Some More Questions From Current Electricity Chapter

What conclusion can you draw from the following observations on a resistor made of alloy manganin?

Current A

Voltage V

Current A

Voltage V

0.2

0.4

0.6

0.8

1.0

2.0

3.94

7.87

11.8

15.7

19.7

39.4

3.0

4.0

5.0

6.0

7.0

8.0

59.2

78.8

98.6

118.5

138.2

158.0

Answer the following questions:
A steady current flows in a metallic conductor of non-uniform cross-section. Which of these quantities is constant along the conductor: current, current density, electric field, drift speed?

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Current Electricity

Voltmeters V₁ and V₂ are connected in series across a D.C. line. V₁ reads 80 V and has a per volt resistance of 200 Ω. V₂ has a total resistance of 32 kΩ. What is the line voltage?

Some More Questions From Current Electricity Chapter

What conclusion can you draw from the following observations on a resistor made of alloy manganin?

Current A

Voltage V

Current A

Voltage V

0.2

0.4

0.6

0.8

1.0

2.0

3.94

7.87

11.8

15.7

19.7

39.4

3.0

4.0

5.0

6.0

7.0

8.0

59.2

78.8

98.6

118.5

138.2

158.0

Answer the following questions:
A steady current flows in a metallic conductor of non-uniform cross-section. Which of these quantities is constant along the conductor: current, current density, electric field, drift speed?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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Email Address

Loaction

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Current Electricity

Voltmeters V1 and V2 are connected in series across a D.C. line. V1 reads 80 V and has a per volt resistance of 200 Ω. V2 has a total resistance of 32 kΩ. What is the line voltage?

Some More Questions From Current Electricity Chapter

What conclusion can you draw from the following observations on a resistor made of alloy manganin? Current A Voltage V Current A Voltage V 0.2 0.4 0.6 0.8 1.0 2.0 3.94 7.87 11.8 15.7 19.7 39.4 3.0 4.0 5.0 6.0 7.0 8.0 59.2 78.8 98.6 118.5 138.2 158.0

Answer the following questions:A steady current flows in a metallic conductor of non-uniform cross-section. Which of these quantities is constant along the conductor: current, current density, electric field, drift speed?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Voltmeters V₁ and V₂ are connected in series across a D.C. line. V₁ reads 80 V and has a per volt resistance of 200 Ω. V₂ has a total resistance of 32 kΩ. What is the line voltage?

What conclusion can you draw from the following observations on a resistor made of alloy manganin?

Current A

Voltage V

Current A

Voltage V

0.2

0.4

0.6

0.8

1.0

2.0

3.94

7.87

11.8

15.7

19.7

39.4

3.0

4.0

5.0

6.0

7.0

8.0

59.2

78.8

98.6

118.5

138.2

158.0

Answer the following questions:
A steady current flows in a metallic conductor of non-uniform cross-section. Which of these quantities is constant along the conductor: current, current density, electric field, drift speed?