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The resistance of a coil is 4.2 Ω at 100oC and the temperature coefficient of resistance of its material is 0.004oC. Its resistance will be 4 Ω
 at
  • a)
    87.5
    oC
  • b)
    50oC
  • c)
    22.5oC
  • d)
    72.5oC
Correct answer is option 'A'. Can you explain this answer?
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The resistance of a coil is 4.2Ωat 100oC and the temperature coe...
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The resistance of a coil is 4.2Ωat 100oC and the temperature coe...
Given Data:
Resistance at 100oC = 4.2Ω
Temperature coefficient of resistance = 0.004/oC

Calculating the change in resistance:
ΔR = R * α * ΔT
ΔR = 4.2 * 0.004 * (100 - T)
ΔR = 0.0168 * (100 - T)

Calculating the final resistance:
R_f = R_i + ΔR
R_f = 4.2 + 0.0168 * (100 - T)
R_f = 4.2 + 1.68 - 0.0168T
R_f = 5.88 - 0.0168T

Solving for T when R_f = 4Ω:
4 = 5.88 - 0.0168T
0.0168T = 1.88
T ≈ 87.5oC
Therefore, the resistance will be 4Ω at 87.5oC.
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The resistance of a coil is 4.2Ωat 100oC and the temperature coefficient of resistance of its material is 0.004oC. Its resistance will be 4Ωata)87.5oCb)50oCc)22.5oCd)72.5oCCorrect answer is option 'A'. Can you explain this answer?
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