What is the power consumed by 'R1' in the...

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Question 1 of 205eccefa3bacbc34ba4d47f36

What is the power consumed by 'R1' in the circuit illustrated in figure "B" with the switch closed if the applied voltage is 24 volts and the resistance of R1 is 3 ohms, R2 is 4 ohms, and R3 is 5 ohms, respectively? See illustration EL-0020.

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🔍 Key Concepts

• Notice in figure "B" how R1, R2, and R3 are connected with the source Es — think about whether they are in series or parallel. • For a series circuit, the same current flows through every resistor, and the total resistance is the sum of all individual resistances. • Power in a resistor can be found from Ohm's Law relationships, such as ( P = I^2 R ) or ( P = \frac{V^2}{R} ), but be careful to use the correct voltage or current for R1 only.

💭 Think About

• First decide if R1, R2, and R3 in figure "B" share the same current or the same voltage. What does that tell you about the type of circuit? • Once you know the circuit type, how will you find the total resistance seen by the 24 V source, and then the circuit current? • After you find the current, which power formula lets you use that current and R1’s resistance to get the power in R1 alone?

✅ Before You Answer

• Confirm that the switch in figure "B" is closed, so the circuit is complete and all three resistors are in the path. • Add the resistances correctly to get the total resistance the 24 V source sees before calculating current. • Use the same current (from the total circuit) with only R1’s resistance (3 Ω) in a power formula to find the power dissipated by R1.

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