Question

What happens to the magnetic field at the center of a circular coil if the number of turns is doubled while current remains constant?

• A. It becomes half of its original value \( \left(\frac{B}{2}\right) \)
• B. It remains unchanged \( (B) \)
• C. It becomes twice the original value \( (2B) \)
• D. It becomes four times the original value \( (4B) \)

Hint:

For a circular coil, the magnetic field at the center is given by \( B=\frac{\mu_0 n I}{2R} \), hence it is directly proportional to the number of turns. If the number of turns is doubled while other factors remain constant, the magnetic field also doubles.

Answer 1

The Correct Option is A

Step 1: Understanding the Question:
The objective is to identify a word from the options that has a similar meaning to "Benevolent".
Step 2: Key Formula or Approach:
Identify the root word or the general sentiment (positive/negative) of the word.
Step 3: Detailed Explanation:
The word "Benevolent" comes from the Latin root "Bene" (meaning well/good) and "Volent" (from "Velle", meaning to wish). Therefore, it means "wishing well" or being charitable and kind.
Evaluating the options:
- Cruel: This is the opposite (antonym).
- Kind/Generous: This matches the definition of benevolence.
- Angry: This refers to an emotional state of displeasure, unrelated to benevolence.
- Selfish: This is an antonym, as benevolence implies selflessness.
Step 4: Final Answer:
The correct synonym is Kind/Generous.