JEE Mains · Physics · STD 12 - 3. current electricity
A heating element has a resistance of \(100\,\Omega \) at room temperature. When it is connected to a supply of \(220\,V,\) a steady current of \(2\,A\) passes in it and temperature is \(500\,^oC\) more than room temperature. What is the temperature coefficient resistance of the heating element?
- A \(1\, \times \,{10^{ - {4}}}\,\,{^oC^{ - 1}}\)
- B \(5\, \times \,{10^{ - {4}}}\,\,{^oC^{ - 1}}\)
- C \(2\, \times \,{10^{ - {4}}}\,\,{^oC^{ - 1}}\)
- D \(0.5\, \times \,{10^{ - {4}}}\,\,{^oC^{ - 1}}\)
Answer & Solution
Correct Answer
(C) \(2\, \times \,{10^{ - {4}}}\,\,{^oC^{ - 1}}\)
Step-by-step Solution
Detailed explanation
Resistance after temperature increases by \(500\,{\,^o}C\,\,i.e.,\,{R_t}\, = \,\frac{V}{I}\, = \frac{{220}}{2}\, = 110\,\Omega \) \(R_0 = 100\) (given) temperature coefficient of resistance, \(\alpha = ?\) using \(R_t = R_0( 1 + \alpha t)\) \(110 = 100 (1 + \alpha 500)\)…
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