9. I  n the circuit shown in the figure the effective value of the voltage across the parallel part of the circuit is 100volts.Determine the magnitude of the supply voltage Vs and power supplies by it. Draw the vector diagram







To determine the supply voltage \( V_s \) and the power supplied in a circuit with a parallel section, we need to know the specific components (like resistors, capacitors, or inductors) in the parallel part. However, assuming we have a general scenario with resistive loads, we can follow these steps:

### Given:
- Effective voltage across the parallel part \( V_{parallel} = 100 \, \text{V} \)

### Steps to Solve:

1. **Identify the Circuit Configuration**:
   - Let's assume there are resistors \( R_1 \) and \( R_2 \) in parallel across \( V_{parallel} \).

2. **Calculate Current in Each Branch**:
   - The current through each resistor can be found using Ohm's Law:
     \[
     I_1 = \frac{V_{parallel}}{R_1}, \quad I_2 = \frac{V_{parallel}}{R_2}
     \]

3. **Calculate Total Current \( I_{total} \)**:
   \[
   I_{total} = I_1 + I_2
   \]

4. **Determine the Supply Voltage \( V_s \)**:
   - If the circuit has a series component (like a resistor in series with the parallel combination), you can apply Kirchhoff's voltage law:
     \[
     V_s = V_{parallel} + V_{drop}
     \]
   - If not specified, and considering ideal conditions, \( V_s \) may equal \( V_{parallel} \).

5. **Calculate Power Supplied by the Source**:
   - Power \( P \) supplied by the voltage source can be calculated using:
     \[
     P = V_s \cdot I_{total}
     \]

### Vector Diagram:
To draw the vector diagram, you typically represent:
- Voltage across the parallel circuit as a horizontal vector (100 V).
- The current vectors for each resistor at angles depending on their reactance (if applicable).

### Conclusion:
Without specific values for the resistors or additional details about the circuit, this outline gives a general approach. If you can provide more information about the components or the circuit arrangement, I can give a more precise answer.

Would you like to go into more detail about any specific part, or do you have any additional questions? Here are some related questions to consider:

1. What components are in the parallel part of the circuit?
2. Are there any series components connected to the supply voltage?
3. Do you have specific resistance values for the components?
4. Is the circuit purely resistive, or does it include inductive or capacitive elements?
5. How is the power factor of the circuit defined, if applicable?

**Tip**: Always double-check the configurations of your circuit to ensure accurate calculations of voltage and power.

In the circuit shown in the figure, the effective value of the voltage across the parallel part of the circuit is 100 volts. Determine the magnitude of the supply voltage Vs and power supplied by it. Draw the vector diagram.

Explore how to determine the supply voltage Vs and the power supplied in a circuit with a parallel part, where the effective voltage is 100 V. This problem involves applying Ohm's Law and Kirchhoff's Voltage Law, suitable for Grades 10-12.

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