Suppose you have two resistors, R1 and R2, connected in series to a power source of voltage V, and that the resistor R2 has a much higher resistance than R1. Which of the following statements are true? Select one or more: a. The voltage drop across R2 is much larger than across R1 b. The voltage drop across R1 is much larger than across R2 C. The currents through R1 and R2 are the same. d. The current through R1 1s much larger than the current through R2. e. The current through R2 is much larger than the current through R1

Question

Physics

Cold Brew

2 September, 00:17

Suppose you have two resistors, R1 and R2, connected in series to a power source of voltage V, and that the resistor R2 has a much higher resistance than R1. Which of the following statements are true? Select one or more: a. The voltage drop across R2 is much larger than across R1 b. The voltage drop across R1 is much larger than across R2 C. The currents through R1 and R2 are the same. d. The current through R1 1s much larger than the current through R2. e. The current through R2 is much larger than the current through R1

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Iliana Price · Answer 1

Answer: option (a) and option (c)

Explanation: According to ohm's law, the voltage drop across a resistor is proportional to the resistance.

This implies that a large resistor will cause a large voltage drop and a small resistor will cause a small voltage drop. From our question, since R2 is R1, it implies that the voltage drop across R2 will be larger compared to R1 hence making option (a) a correct sentence.

When two or more resistors are connected in series, we do so by connecting ends to each other, that's one end of the resistor is connected to the other.

By doing so the same amount of current flows through them but different voltage drop across each resistor.

So therefore for resistors in series, the current across each resistor is the same all through.

Hence option (c) is a correct sentence