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Solve the following.
Two resistors, R₁ = 1 Ω and R₂ = 2 Ω are connected in parallel. If the power developed in the…
Two resistors, $R_1 = 1\ \Omega$ and $R_2 = 2\ \Omega$ are connected in parallel. If the power developed in the resistor $R_1$ is $4\text{ W}$, find the power developed in the resistor $R_2$.
Answer
Answer
Formula used: Electric power: P = V*I with R = 2 ohm, V = 2 V, so P = 2 W
In parallel the potential difference $V$ is the same: $P = \frac{V^2}{R}$. For $R_1$: $4 = \frac{V^2}{1}$, so $V^2 = 4\text{ V}^2$. For $R_2$: $P_2 = \frac{V^2}{R_2} = \frac{4}{2} = 2\text{ W}$.
Final answer: 2 W