Question

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

• A. remains unchanged
• B. becomes \(\frac{1}{3}\) times
• C. is tripled
• D. becomes \(\frac{2}{3}\) times

Hint:

Flux linked \(=NBA\cos\theta\).

Answer 1

The Correct Option is C

Step 1: Understanding the concept.
Total flux linked with a coil of N turns is \(\phi = NBA\cos\theta\). Every turn links the same flux, and the turns add up.

Step 2: Apply to the question.
B, A and the angle stay the same. Only N changes from N to 3N.

Step 3: Compare.
\[ \frac{\phi_2}{\phi_1} = \frac{3N BA\cos\theta}{N BA\cos\theta} = 3 \]

Step 4: Check the options.
Option 1 ignores N. Options 2 and 4 make the flux smaller, which cannot happen when turns increase. Option 3 is right.

Final Answer:
The flux linked is tripled. \[ \boxed{\text{Option 3: is tripled}} \]