Question

Question 1
A series circuit with three resistors.

Mark the things you know directly from this diagram

Mark the things you know directly from this diagram.

Voltage

V

Current

I

Power

P

Resistance

R

Load 1 / R1




Load 2 / R2




Load 3 / R3




Source / Total

Answer 1

To analyze a series circuit with three resistors (R1, R2, R3), we can determine several key electrical parameters. Here's a breakdown of what you can directly derive from such a diagram in terms of voltage (V), current (I), power (P), and resistance (R):

### Things You Know Directly from the Diagram

1. **Voltage (V)**:
- The total voltage supplied by the source (V_total) is equal to the sum of the voltage drops across each resistor:
- \( V_{\text{total}} = V_{R1} + V_{R2} + V_{R3} \)
- The voltage drop across each resistor can be calculated using Ohm's Law:
- \( V_{R1} = I \times R1 \)
- \( V_{R2} = I \times R2 \)
- \( V_{R3} = I \times R3 \)

2. **Current (I)**:
- The current (I) is the same through all resistors in a series circuit:
- \( I = I_{R1} = I_{R2} = I_{R3} \)

3. **Power (P)**:
- The power across each resistor can be calculated using the formula \( P = I^2 \times R \):
- \( P_{R1} = I^2 \times R1 \)
- \( P_{R2} = I^2 \times R2 \)
- \( P_{R3} = I^2 \times R3 \)
- The total power supplied by the source is the sum of the power across each resistor:
- \( P_{\text{total}} = P_{R1} + P_{R2} + P_{R3} \)

4. **Resistance (R)**:
- The total or equivalent resistance (R_total) in the series circuit is the sum of the individual resistances:
- \( R_{\text{total}} = R1 + R2 + R3 \)

### Summarized Information:

- **Load 1 / R1**: Voltage drop \( V_{R1} \), Current \( I \), Power \( P_{R1} \)
- **Load 2 / R2**: Voltage drop \( V_{R2} \), Current \( I \), Power \( P_{R2} \)
- **Load 3 / R3**: Voltage drop \( V_{R3} \), Current \( I \), Power \( P_{R3} \)
- **Source / Total**: Total Voltage \( V_{\text{total}} \), Total Current \( I \), Total Power \( P_{\text{total}} = P_{R1} + P_{R2} + P_{R3} \), Total Resistance \( R_{\text{total}} = R1 + R2 + R3 \)

This summary includes the key relationships in a series circuit and how to derive various electrical quantities based on the given resistors.