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(A) The thermal energy produced in a resistor is given by the formula $H = i^2Rt$,where $i$ is the current,$R$ is the resistance,and $t$ is the time i

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Equal amounts of thermal energy must be produced in the resistors

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(A) The thermal energy produced in a resistor is given by the formula $H = i^2Rt$,where $i$ is the current,$R$ is the resistance,and $t$ is the time interval.Since the resistors are connected in series,the same current $i$ flows through both resistors.Given that the resistances are equal $(R_1 = R_2 = R)$,the thermal energy produced in both resistors will be $H_1 = i^2Rt$ and $H_2 = i^2Rt$.Therefore,$H_1 = H_2$,meaning equal amounts of thermal energy must be produced in the resistors.

Two resistors having equal resistances are joined in series and a current is passed through the combination. Neglect any variation in resistance as the temperature changes. In a given time interval,

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