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Base your answer to the following question on the electric circuit below. The switch is in the open position. What power is developed in the 10.-ohm resistir

Base your answer to the following question on the electric circuit below The switch is in the open position What power is developed in the 10ohm resistir class=


Answer :

Answer:

C) 360 watts

Explanation:

We can find the power that is developed in the 10-ohm resistor by using this formula:

[tex]\boxed{P=\frac{V^2}{R} }[/tex]

where:

  • [tex]P[/tex] = power
  • [tex]V[/tex] = voltage
  • [tex]R[/tex] = resistance

When the switch is in the open position, the current will only flow through the 10Ω and 20Ω resistors. Since both resistors are in parallel circuit and one of the rules of parallel circuit is: "All branches share the same voltage". This means:

[tex]\boxed{V_{source}=V_{10\Omega}=V_{20\Omega}=60\ V}[/tex]

Now, we have enough data to find the power in the 10-ohm resistor:

  • [tex]V_{10\Omega}=60\ V[/tex]
  • [tex]R_{10\Omega} = 10\ \Omega[/tex]

[tex]\displaystyle P_{10\Omega}=\frac{V_{10\Omega}^2}{R_{10\Omega}}[/tex]

       [tex]\displaystyle=\frac{60^2}{10}[/tex]

       [tex]=\bf360\ watts[/tex]