Calculate the equivalent resistance value in series if the resistance of all three resistors is 10, 12 and 13 ohms, respectively?

Options

A. 22 ohm.
B. 44 ohm
C. 65 ohm
D. 35 ohm

Explanation

To calculate the equivalent resistance of resistors connected in series, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Resistor Values**:
We have three resistors with the following resistances:
- \( R_1 = 10 \, \Omega \)
- \( R_2 = 12 \, \Omega \)
- \( R_3 = 13 \, \Omega \)

2. **Use the Formula for Equivalent Resistance in Series**:
The formula for the equivalent resistance \( R_{eq} \) in a series circuit is given by:
\[ R_{eq} = R_1 + R_2 + R_3 \]

3. **Substitute the Values into the Formula**:
Now we will substitute the values of the resistors into the formula:
\[ R_{eq} = 10 \, \Omega + 12 \, \Omega + 13 \, \Omega \]

4. **Perform the Addition**:
Now we will perform the addition step by step:
- First, add \( R_1 \) and \( R_2 \):
\[ 10 \, \Omega + 12 \, \Omega = 22 \, \Omega \]
- Next, add the result to \( R_3 \):
\[ 22 \, \Omega + 13 \, \Omega = 35 \, \Omega \]

5. **Final Result**:
The equivalent resistance \( R_{eq} \) is:
\[ R_{eq} = 35 \, \Omega \]

### Conclusion:
The equivalent resistance of the three resistors connected in series is \( 35 \, \Omega \).

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