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Assertion (A): Magnetic field due to a s...

Assertion (A): Magnetic field due to a straight current carrying conductor is in the form of circular loops around it.
Reason (R): The magnetic field due to a current carrying conductor is weak at near points from the conductor.

A

Both (A) and (R) are true and (R) is the correct explanation of (A).

B

Both (A) and (R) are true but (R) is not the correct explanation of (A).

C

(A) is true but (R) is false.

D

(A) is false and (R) is also false.

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the given assertion and reason, we will break down the statements and evaluate their validity step by step. ### Step 1: Analyze the Assertion (A) **Assertion (A):** "Magnetic field due to a straight current carrying conductor is in the form of circular loops around it." - The magnetic field produced by a straight current-carrying conductor indeed forms concentric circular loops around the wire. This can be visualized using the right-hand rule, where if you point your thumb in the direction of the current, your fingers will curl around the wire in the direction of the magnetic field lines. **Conclusion for Step 1:** The assertion is **true**. ### Step 2: Analyze the Reason (R) **Reason (R):** "The magnetic field due to a current carrying conductor is weak at near points from the conductor." - This statement is incorrect. The magnetic field strength (B) around a straight current-carrying conductor is given by the formula: \[ B = \frac{\mu_0 I}{2\pi r} \] where \( \mu_0 \) is the permeability of free space, \( I \) is the current, and \( r \) is the distance from the conductor. As we can see from the formula, the magnetic field strength is inversely proportional to the distance \( r \). Therefore, the closer you are to the conductor (i.e., as \( r \) decreases), the stronger the magnetic field becomes. **Conclusion for Step 2:** The reason is **false**. ### Final Conclusion - Since the assertion is true and the reason is false, the correct relationship between the two is that the assertion is correct, but the reason is incorrect. ### Summary: - Assertion (A) is **true**. - Reason (R) is **false**.

To analyze the given assertion and reason, we will break down the statements and evaluate their validity step by step. ### Step 1: Analyze the Assertion (A) **Assertion (A):** "Magnetic field due to a straight current carrying conductor is in the form of circular loops around it." - The magnetic field produced by a straight current-carrying conductor indeed forms concentric circular loops around the wire. This can be visualized using the right-hand rule, where if you point your thumb in the direction of the current, your fingers will curl around the wire in the direction of the magnetic field lines. **Conclusion for Step 1:** The assertion is **true**. ...
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