In a balanced condition, resistance R3 has temperature coefficient 0.0004 degree C 1. With temperature of R3 increased by 100 degree C, find voltage generated between S and T.

As per the question, resistance R3​ has a temperature coefficient of 0.0004C−1 in a balanced condition. And, the temperature of R3​ is increased by 100C. In order to determine the voltage generated between S and T, we have to consider the following formula:

R= R0 (1 + \(\alpha\)\(\Delta\)T)

Values of Resistance

Values of Resistance

Thus, after replacing the values, we get:

⇒ 300  (1 + 0.0004 \(\times\) 100)

Therefore, R1 = 312 \(\Omega\)

I1 = \({{50} \over 370}\)A

I2 = \({{50} \over 600}\)A

⇒ Vs – \({{50} \over 370}\) \(\times\) 312 + \({{50} \over 600}\) \(\times\) 500 = VT

V– VT = 0.26 Volts (V)


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