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This problem describes an R-L-C series circuit, and the task is to find the voltage across the inductor. Let's break it down step by step.

### Given:
- **Voltage source (V)**: 100 V
- **Resistance (R)**: 40 Ω
- **Inductive reactance (XL)**: 150 Ω
- **Capacitive reactance (XC)**: 120 Ω

To find the potential difference across the inductor, we first need to calculate the total impedance of the circuit and the current flowing through it.

### Step 1: Calculate the net reactance (X)
The net reactance is the difference between the inductive and capacitive reactance:
\[
X = X_L - X_C = 150 \, \Omega - 120 \, \Omega = 30 \, \Omega
\]

### Step 2: Calculate the total impedance (Z)
The total impedance of the series circuit is given by:
\[
Z = \sqrt{R^2 + X^2} = \sqrt{40^2 + 30^2} = \sqrt{1600 + 900} = \sqrt{2500} = 50 \, \Omega
\]

### Step 3: Calculate the current (I)
Using Ohm's law, the current in the circuit is:
\[
I = \frac{V}{Z} = \frac{100 \, V}{50 \, \Omega} = 2 \, A
\]

### Step 4: Calculate the voltage across the inductor
The voltage across the inductor can be calculated using the current and the inductive reactance:
\[
V_L = I \times X_L = 2 \, A \times 150 \, \Omega = 300 \, V
\]

### Answer:
The voltage across the inductor is **300 V**, so the correct option is **c. 300 V**.

Would you like more details on any part of the explanation?

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Here are 5 related questions:
1. How is the net reactance in an R-L-C circuit calculated?
2. What is the significance of impedance in AC circuits?
3. How would the result change if the reactances \(X_L\) and \(X_C\) were equal?
4. What happens to the current if only the resistance is increased in this circuit?
5. How is power consumption affected by reactance in an R-L-C circuit?

**Tip**: In an R-L-C series circuit, impedance determines both the current and how voltages distribute across individual components.

Perhatikan rangkaian R-L-C seri berikut ini! Beda potensial ujung-ujung induktor adalah ....

Learn how to calculate the voltage across the inductor in an R-L-C series circuit with a 100V source, a 40Ω resistor, 150Ω inductive reactance, and 120Ω capacitive reactance. Suitable for high school physics students.

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