To determine the resistance of a resistor at a higher temperature, we use the formula for the temperature dependence of resistors:
\(R_t = R_0 (1 + \alpha \Delta t)\)
where:
- \(R_t\) is the resistance at temperature \(t\) degrees Celsius,
- \(R_0\) is the resistance at a reference temperature (usually 0 degrees Celsius),
- \(\alpha\) is the temperature coefficient of resistance,
- \(\Delta t\) is the change in temperature.
Given:
- \(R_0 = 10 \text{ Ohms at } 0^\circ \text{C}\)
- \(\alpha = 0.04 \text{ per degree Celsius}\)
- Desired temperature \(t = 40^\circ \text{C}\)
Therefore, the change in temperature \(\Delta t\) is:
\(\Delta t = 40 - 0 = 40^\circ \text{C}\)
Now, substituting in the formula:
\(R_{40} = 10 (1 + 0.04 \times 40)\)
\(R_{40} = 10 (1 + 1.6)\)
\(R_{40} = 10 \times 2.6\)
\(R_{40} = 26 \text{ Ohms}\)
Hence, the resistance of the resistor at 40 degrees Celsius is 26 Ohms.
Therefore, the correct option is 26.
Important Questions from Properties of Materials
The photoelectric current depends on which of the following factors?
1. The frequency of the incident light
2. The intensity of the incident light
3. The potential difference between the electrodes
4. The photosensitivity of the non-mentalVanadium is added to steel as an alloying element to
Babbit is an alloy of
To improve the machinability, the alloying element of steel is:
Which of the following hardness tests is best suitable for brittle materials such as ceramics?
