Potential divider：練習問題

A potential divider circuit consists of a \( 10 \text{ V} \) power supply and two resistors, \( R_1 = 200 \text{ } \Omega \) and \( R_2 = 300 \text{ } \Omega \), connected in series. The output voltage is taken across \( R_2 \). What is the output voltage?

A potential divider circuit uses a \( 6.0 \text{ V} \) power supply and a fixed resistor of \( 1.5 \text{ k}\Omega \) in series with a variable resistor. If the circuit needs to provide an output voltage of \( 2.0 \text{ V} \) across the variable resistor, what resistance should the variable resistor be set to?

A potential divider is used to provide a variable output voltage from a fixed \( 9.0 \text{ V} \) supply. It consists of a fixed resistor of \( 1.0 \text{ k}\Omega \) in series with a thermistor. The resistance of the thermistor decreases as temperature increases. The output voltage is measured across the thermistor. How does the output voltage change as the temperature of the thermistor increases?

A potential divider circuit consists of two resistors, \(R_1 = 100 \, \Omega\) and \(R_2 = 200 \, \Omega\), connected in series across a \(6.0 \, V\) power supply. Calculate the potential difference across \(R_2\).

A potential divider uses a thermistor and a fixed resistor \(R_F = 5.0 \, k\Omega\) in series across a \(12 \, V\) supply. The resistance of the thermistor is \(10 \, k\Omega\) at \(0^\circ C\) and \(1.0 \, k\Omega\) at \(100^\circ C\). Calculate the range of output voltage across the thermistor as the temperature changes from \(0^\circ C\) to \(100^\circ C\).

A potential divider circuit consists of a \(9.0 \, \text{V}\) power supply connected across two resistors in series: \(R_1 = 300 \, \Omega\) and \(R_2 = 600 \, \Omega\). The output voltage \(V_{out}\) is taken across \(R_2\).
Calculate the output voltage \(V_{out}\).

A potential divider circuit is set up using a \(12 \, \text{V}\) power supply and two components in series: a fixed resistor \(R_F = 4.0 \, \text{k}\Omega\) and a negative temperature coefficient (NTC) thermistor. The output voltage \(V_{out}\) is measured across the thermistor.
(a) Explain how the output voltage \(V_{out}\) changes as the temperature of the thermistor increases.
(b) At a temperature of \(20 \, ^\circ\text{C}\), the resistance of the thermistor is \(6.0 \, \text{k}\Omega\). Calculate \(V_{out}\) at this temperature.
(c) When the temperature rises to \(80 \, ^\circ\text{C}\), the resistance of the thermistor drops to \(1.0 \, \text{k}\Omega\). Calculate the new \(V_{out}\) at this temperature.