Question

The resistance of conductor is 5ohm at SoC and 6-ohm at looč.
It} resistance at 0°c is?​

Answer 1

☘Correct Question:-

The resistance of wire is 5 ohm at 50°C and 6 ohm at 100° C. The resistance of the wire at 0°C will be.

☘Answer:-

Given:-

• the resistance of conductor is 5 ohm at 50°C and 6 ohm at 100°C.

To find: -

• the resistance of the wire at 0°C.

Solution:-

$Resistance \: of \: the \: wire \: must \: very \: linearly \\ with \: temperature$

$Hence,$

$R \: = \: {aT} \: + \: b \: (let \: T \: be \: in \: degree \: scale)$

$Using \: R (50) \: = \: 5$

$R(100) \: = \: 6$

$we \: get \: b \: = \: 4$

$and \: a \: = \: \frac{1}{50}$

$Hence,$

$R \: = \: \frac{T}{50} \: + \: 4$

$⭐ Putting \: R \: (0°) \: for \: resistence \: at \: 0 \: \\ we \: get \: R(0) \: = \: 4 \: ohm$