The resistance of a coil is 4.2, Omega at 100 | vedclass

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Question

(C) The relationship between resistance and temperature is given by the formula: $R_t = R_0(1 + \alpha t)$.Here,$R_t = 4.2\, \Omega$ is the resistance

Vedclass · Accepted Answer

$3$

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(C) The relationship between resistance and temperature is given by the formula: $R_t = R_0(1 + \alpha t)$.Here,$R_t = 4.2\, \Omega$ is the resistance at temperature $t = 100\,^{\circ}C$,$\alpha = 0.004\,^{\circ}C^{-1}$ is the temperature coefficient of resistance,and $R_0$ is the resistance at $0\,^{\circ}C$.Substituting the values into the formula:$4.2 = R_0(1 + 0.004 	imes 100)$$4.2 = R_0(1 + 0.4)$$4.2 = R_0(1.4)$$R_0 = \frac{4.2}{1.4} = 3\, \Omega$.Therefore,the resistance at $0\,^{\circ}C$ is $3\, \Omega$.

The resistance of a coil is $4.2\, \Omega$ at $100\,^{\circ}C$ and the temperature coefficient of resistance of its material is $0.004\,^{\circ}C^{-1}$. Its resistance at $0\,^{\circ}C$ is ............. $\Omega$.

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