https://file.aiquickdraw.com/mathbot/file/1726730657273varlr5sx.jpg

In the image, the question is about resistors connected in series and which of the following statements is/are true. Let's go over the correct principles about resistors in series:

1. **Total resistance in series**: 
   - The total resistance in a series connection is always **greater than any individual resistance** because resistances simply add up: \( R_{\text{total}} = R_1 + R_2 + R_3 + \dots \).
   - So, the statement "Total resistance is always greater than any of the resistances" is correct.

2. **Current in series**:
   - The current is **the same through all resistors** in a series circuit because there is only one path for the current to flow.
   - Therefore, the statement "Current through each resistor is the same" is also true.

3. **Voltage drops in series**:
   - The voltage drops across each resistor in series are **not the same**, unless the resistors have equal resistance. The voltage drop depends on each resistor's value.
   - However, the sum of the voltage drops across all resistors equals the total voltage supplied by the source, i.e., "The sum voltage drop of each resistor must be equal to the dry cell" is true.

4. **Total resistance lesser than individual**:
   - This is false because the total resistance is the sum, and thus always greater than any individual resistance.

5. **Total current**:
   - In a series circuit, the total current is the same throughout the circuit, so it isn't an algebraic sum of currents as stated.

### Correct statements:
- "The sum voltage drop of each resistor must be equal to the dry cell."
- "Total resistance is always greater than any of the resistances."
- "Current through each resistor is the same."

Would you like further details or clarifications? Here are 5 related questions for further exploration:

1. How does the total resistance in a parallel circuit compare to individual resistances?
2. What happens to the current if you add more resistors in series?
3. How does voltage behave in a parallel circuit?
4. Can a circuit have both series and parallel components? If yes, how does that affect total resistance?
5. How would the circuit's power consumption change if more resistors are added in series?

**Tip**: In any series circuit, the current remains the same through each resistor, while the total resistance increases with more resistors.

When Resistors are connected in series connection, which of the following statements is/are true?

Learn about the behavior of resistors connected in series, including key concepts such as total resistance, current, and voltage drops. This guide uses Kirchhoff's Voltage Law and Ohm's Law to explain the principles. Suitable for Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation