A resistance of a wire is 5 Ω at 50°C and 6 Ω at 100°C. What will be the resistance of the wire at 0°C?

Solution

Using the formula,
$R_{t} = R_{O} (1 + α t)$

Therefore,
5 = R_o ( 1+ 50 $α$ )
6 = R_o ( 1+ 100 $α$ )

On solving the above two equations we get,
$\frac{5}{6} = \frac{1 + 50 α}{1 + 100 α} \Rightarrow α = \frac{1}{200}$
Now, putting the value of $α$ in one of the equations above , we get

5= R_O [1+ 50 $(\frac{1}{200})$ ] = 4 $Ω$ .
Therefore, the value of resistance at 0^o C is 4Ω .

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

A resistance of a wire is 5 Ω at 50°C and 6 Ω at 100°C. What will be the resistance of the wire at 0°C?

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

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For Daily Free Study Material Join wiredfaculty

Current Electricity

A resistance of a wire is 5 Ω at 50°C and 6 Ω at 100°C. What will be the resistance of the wire at 0°C?

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

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?