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Question 11

A potential divider circuit is shown in the figure below. The output voltage $$V_0$$ is

image

Since all resistors are connected in series,

$$R_{total} = 3300\Omega + (7 \times 100\Omega)$$

$$R_{total} = 3300\Omega + 700\Omega = 4000\Omega$$

The measurement for $$V_0$$ begins after the $$3.3\text{ k}\Omega$$ and the first two $$100\Omega$$ resistors.

The measurement includes the remaining five $$100\Omega$$ resistors.

$$R_{out} = 5 \times 100\Omega = 500\Omega$$

$$V_0 = V_{in} \cdot \left( \frac{R_{out}}{R_{total}} \right)$$

$$V_0 = 4\text{ V} \cdot \left( \frac{500\Omega}{4000\Omega} \right)$$

$$V_0 = 0.5\text{ V}$$

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