If number of turns in a coil is tripled, the value of magnetic flux will:

Options

A. becomes `(1)/(3)`
B. be tripled
C. remain unchanged
D. none of these

Explanation

To solve the problem, we need to understand the relationship between the number of turns in a coil and the magnetic flux.

### Step-by-Step Solution:

1. **Understanding Magnetic Flux**:
The magnetic flux (Φ) through a coil is given by the formula:
\[ Φ = N \cdot B \cdot A \cdot \cos(θ) \]
where:
- \(Φ\) = magnetic flux
- \(N\) = number of turns in the coil
- \(B\) = magnetic field strength
- \(A\) = area of the coil
- \(θ\) = angle between the magnetic field and the normal to the surface of the coil

2. **Identifying the Variables**:
In this question, we are told that the number of turns (N) in the coil is tripled. We need to analyze how this affects the magnetic flux (Φ).

3. **Proportionality of Magnetic Flux to Number of Turns**:
From the formula, we can see that the magnetic flux is directly proportional to the number of turns (N), assuming that the magnetic field strength (B) and the area (A) remain constant:
\[ Φ ∝ N \]

4. **Calculating the Change in Magnetic Flux**:
If the number of turns is tripled, we can express this mathematically:
\[ N' = 3N \]
Therefore, the new magnetic flux (Φ') will be:
\[ Φ' = N' \cdot B \cdot A \cdot \cos(θ) = 3N \cdot B \cdot A \cdot \cos(θ) = 3Φ \]
This shows that the magnetic flux is also tripled.

5. **Conclusion**:
Thus, if the number of turns in a coil is tripled, the value of magnetic flux will also be tripled.

### Final Answer:
The value of magnetic flux will be tripled.

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