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A metal with a temperature coefficient of resistance has a value of 200; its initial resistance is given by 40Ω. What will be the final resistance value for an increase in 300C to 350C?
  • a)
    40 KΩ
  • b)
    4 KΩ
  • c)
    40 Ω
  • d)
    400 Ω
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A metal with a temperature coefficient of resistance has a value of 2...
Answer obtained using expression RT=R0(1+αΔT), where α represents temperature coefficient of resistance, R0 and RT represent initial and final resistance values.
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Most Upvoted Answer
A metal with a temperature coefficient of resistance has a value of 2...
Calculation of final resistance value

Given:
Temperature coefficient of resistance (α) = 200
Initial resistance (Ri) = 40 Ω
Change in temperature (ΔT) = 350°C - 300°C = 50°C

Using the formula for temperature coefficient of resistance:

ΔR = αRiΔT

Substituting the given values:

ΔR = 200 x 40 x 50/1000
ΔR = 400 Ω

The change in resistance (ΔR) is added to the initial resistance to get the final resistance (Rf):

Rf = Ri + ΔR
Rf = 40 + 400
Rf = 440 Ω

However, the options provided are in kilo-ohms (KΩ), so we need to convert the final resistance value from ohms to kilo-ohms:

Rf = 440/1000
Rf = 0.44 KΩ

Therefore, the correct option is A) 40 KΩ
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A metal with a temperature coefficient of resistance has a value of 200; its initial resistance is given by 40Ω. What will be the final resistance value for an increase in 300C to 350C?a)40 KΩb)4 KΩc)40 Ωd)400 ΩCorrect answer is option 'A'. Can you explain this answer?
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