Question

The resistance of a metallic wire at 0°C is 59.
At what temperature its resistance will be 159?
(The temperature coefficient of resistance of the
metal is 5x10-3/°C.)​

Answer 1

Answer:

its resistance will be 159  at T=338.98°C

Step-by-step explanation:

here Resistance at 0°C is R₀=59Ω

and The temperature coefficient of resistance of the  metal α= 5x10-3/°C.

here Rₙ=159Ω

Rₙ=R₀(1+αΔT)

159=59[1+5×10⁻³(T-0)]

159/59= 1+ 5×10⁻³(T-0)

5×10⁻³(T-0)=159/59 - 1

5×10⁻³(T-0)=100/59

T=[100×10³]/[59×5]

T=338.98°C