In a circuit with DC voltage applied to...

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Question 1 of 205eccefa3bacbc34ba4d47edd

In a circuit with DC voltage applied to resistances connected in series and the switch closed, under what circumstance would the full applied voltage be measured across one resistor? See illustration EL-0020.

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🔍 Key Concepts

• Series circuits share the same current through every component • Ohm’s Law: V = I × R and how voltage divides across series resistors • What happens to the voltage drop across a component when its resistance is extremely high (open) or nearly zero (short)

💭 Think About

• In a healthy series circuit with current flowing, how is the source voltage Es split between R1, R2 (and R3 in figure B)? • If one resistor fails so that no current can flow through it, what happens to the current in the whole series loop and the voltage drop across that failed part? • If one resistor fails by becoming a short (very low resistance), how much voltage would you expect across something with almost zero resistance when the same current flows?

✅ Before You Answer

• Confirm that in a series circuit, the same current must pass through every resistor when the loop is complete (switch closed). • Think about a resistor that is open-circuited (infinite resistance): current in the loop becomes what, and where must Es appear? • Contrast that with a short-circuited resistor (almost 0 Ω): check what Ohm’s Law predicts for its voltage drop when current flows.

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