Heat energy is being produced in a resistance in a circuit at the rate of $100 W$ . The current of $2 A$ is flowing in the circuit. what must be the value of the resistance (in $Ω$ )?

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Solution

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Rate of heat energy produced is power.
$\Rightarrow$ P = $I^{2} \times R$
$\Rightarrow$ R = $\frac{P}{I^{2}}$

$\Rightarrow$ R = $\frac{100}{4} = 25 Ω$

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Heat energy is being produced in a resistance in a circuit at the rate of 100 W. The current of 2 A is flowing in the circuit. what must be the value of the resistance (in Ω)?

Rate of heat energy produced is power.⇒ P = I2×R⇒ R = PI2⇒ R =1004=25Ω

Heat energy is being produced in a resistance in a circuit at the rate of $100 W$ . The current of $2 A$ is flowing in the circuit. what must be the value of the resistance (in $Ω$ )?

Rate of heat energy produced is power.
$\Rightarrow$ P = $I^{2} \times R$
$\Rightarrow$ R = $\frac{P}{I^{2}}$

$\Rightarrow$ R = $\frac{100}{4} = 25 Ω$