The equivalent resistance of a series combination of two resistances is X ohm. If the resistance are of 10 ohm and 40 ohm respectively, the value of X will be

Options

A. 10 ohm
B. 20 ohm
C. 50 ohm
D. 40 ohm

Explanation

To find the equivalent resistance \( X \) of a series combination of two resistances, we follow these steps:

### Step 1: Understand the formula for equivalent resistance in series
In a series circuit, the equivalent resistance \( X \) is simply the sum of the individual resistances. The formula is given by:
\[ X = R_1 + R_2 \]

### Step 2: Identify the values of the resistances
From the question, we have:
- \( R_1 = 10 \, \text{ohm} \)
- \( R_2 = 40 \, \text{ohm} \)

### Step 3: Substitute the values into the formula
Now, we substitute the values of \( R_1 \) and \( R_2 \) into the formula:
\[ X = 10 \, \text{ohm} + 40 \, \text{ohm} \]

### Step 4: Perform the addition
Now we perform the addition:
\[ X = 10 + 40 = 50 \, \text{ohm} \]

### Step 5: State the final answer
Thus, the equivalent resistance \( X \) is:
\[ X = 50 \, \text{ohm} \]

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