Which of the following statements is/are correct? Statements: 1) Ampere's Law describes the relationship between electric current and the magnetic field it produces. 2) Maxwell's equations are a set of four fundamental equations governing electric and magnetic fields in the absence of charges and currents.
Only Statement 1
Let's analyze each statement:
- Statement 1: Ampere's Law describes the relationship between electric current and the magnetic field it produces.
- This statement is correct. Ampere's Law quantifies how a magnetic field is generated by an electric current or by a changing electric field.
- Statement 2: Maxwell's equations are a set of four fundamental equations governing electric and magnetic fields in the absence of charges and currents.
- This statement is incorrect. Maxwell's equations govern electric and magnetic fields in the presence of charges and currents. In the absence of charges and currents, Maxwell's equations simplify, but they are still valid. The general form of maxwell's equations include the effects of charges and currents.
Therefore, only Statement 1 is correct.
Only Statement 1
✅ Correct Answer: Only Statement 1
🔍 Explanation of Each Statement:
✅ Statement 1:
Ampere's Law describes the relationship between electric current and the magnetic field it produces.
✔️ Correct – Ampere’s Law states that the magnetic field in space around an electric current is proportional to the current.
Mathematically (integral form):
This law is a part of Maxwell’s equations and is valid.
❌ Statement 2:
Maxwell's equations are a set of four fundamental equations governing electric and magnetic fields in the absence of charges and currents.
❌ Incorrect – Maxwell’s equations describe the behavior of electric and magnetic fields in both the presence and absence of charges and currents.
So, saying they only apply in the absence of charges and currents is incorrect.
✅ Final Answer: Only Statement 1 is correct.
Only Statement 1
The correct answer is:
✅ Only Statement 1
Explanation:
Statement 1: Correct
- Ampere’s Law (part of Maxwell’s equations) states that a current-carrying conductor produces a magnetic field around it.
- Mathematically:
Statement 2: Incorrect
- Maxwell’s equations govern all electric and magnetic fields, including cases with charges and currents.
- The four equations are:
- Gauss’s Law (electric fields due to charges).
- Gauss’s Law for Magnetism (no magnetic monopoles).
- Faraday’s Law (induction from changing magnetic fields).
- Ampere-Maxwell Law (magnetic fields due to currents and changing electric fields).
Key Clarification:
Statement 2 incorrectly limits Maxwell’s equations to scenarios without charges/currents, which is false.
Answer: Only Statement 1 (Option 4) ✅
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