The magnetic flux linked with coil is proportional to

Options

A. voltage
B. current
C. length of coil
D. resistance of coil

Answer

To determine what the magnetic flux linked with a coil is proportional to, we can analyze the factors that influence magnetic flux in a coil. Here’s a step-by-step solution:

### Step 1: Understanding Magnetic Flux
Magnetic flux (Φ) through a coil is defined as the product of the magnetic field (B) passing through the area (A) of the coil and the cosine of the angle (θ) between the magnetic field lines and the normal to the surface of the coil:
\[ Φ = B \cdot A \cdot \cos(θ) \]

### Step 2: Factors Affecting Magnetic Flux
1. **Magnetic Field (B)**: The magnetic field produced by a current-carrying coil is directly proportional to the current (I) flowing through the coil. According to Ampere's law, the magnetic field strength increases with an increase in current.

2. **Area of the Coil (A)**: The area of the coil also affects the magnetic flux. A larger area allows more magnetic field lines to pass through, increasing the flux.

3. **Number of Turns (N)**: The total magnetic flux linked with the coil is also proportional to the number of turns in the coil. More turns mean more loops for the magnetic field lines to pass through, thus increasing the total flux.

### Step 3: Conclusion
From the analysis, we conclude that the magnetic flux linked with a coil is proportional to:
- The current (I) flowing through the coil
- The number of turns (N) in the coil
- The area (A) of the coil

Thus, we can summarize that:
\[ Φ ∝ I \cdot N \cdot A \]