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The Thermal Energy Developed in a Current-carrying Resistor is Given by U = I2 Rt and Also by U = Vit. Should We Say that U is Proportional to I2 Or I?

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प्रश्न

The thermal energy developed in a current-carrying resistor is given by U = i2 Rt and also by U = Vit. Should we say that U is proportional to i2 or i?

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उत्तर

In the expression U = Vit, voltage V and current i are variables for a given time interval. So, based on this expression we cannot say that U is proportional to i. In the expression U = i2Rt, the resistance R is fixed for a circuit for a given time interval. So, based on this expression, we can say that U is proportional to i2 and not i.

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अध्याय 32: Electric Current in Conductors - Short Answers [पृष्ठ १९६]

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एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 32 Electric Current in Conductors
Short Answers | Q 9 | पृष्ठ १९६

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