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Statement-1 A current carrying wire is p...

Statement-1 A current carrying wire is placed parallel to magnetic field. The force on it due the magnetic field is zero
Statement-2 The net charge on current wire is zero

A

Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1

B

Statement-1 is True, Statement-2, is True, Statement-2 is NOT a correct explanation for Statement-1

C

Statement-1 is True, Statement-2 is False

D

Statement-1 is False, Statement-2 is True

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we will analyze both statements and determine their validity. ### Step-by-Step Solution: 1. **Understanding Statement 1**: - Statement 1 claims that a current-carrying wire placed parallel to a magnetic field experiences zero force. - The force \( F \) on a current-carrying wire in a magnetic field is given by the formula: \[ F = I \cdot L \cdot B \cdot \sin(\theta) \] where: - \( I \) is the current, - \( L \) is the length of the wire, - \( B \) is the magnetic field strength, - \( \theta \) is the angle between the direction of the current and the magnetic field. 2. **Analyzing the Angle**: - If the wire is parallel to the magnetic field, the angle \( \theta \) is \( 0^\circ \). - The sine of \( 0^\circ \) is \( 0 \): \[ \sin(0^\circ) = 0 \] - Therefore, substituting \( \theta = 0 \) into the force equation: \[ F = I \cdot L \cdot B \cdot 0 = 0 \] - This confirms that the force on the wire is indeed zero when it is parallel to the magnetic field. 3. **Conclusion for Statement 1**: - Statement 1 is **true**. 4. **Understanding Statement 2**: - Statement 2 claims that the net charge on a current-carrying wire is zero. - In a current-carrying wire, the current is due to the flow of charge carriers (usually electrons). - While electrons move, the overall charge of the wire remains neutral because the number of positive charges (atomic nuclei) and negative charges (electrons) are equal. 5. **Conclusion for Statement 2**: - Since the wire remains electrically neutral despite the movement of charge carriers, Statement 2 is also **true**. 6. **Evaluating the Relationship**: - Although both statements are true, Statement 2 does not explain why the force on the wire is zero when placed parallel to the magnetic field. The force being zero is due to the angle between the current and the magnetic field, not because the net charge is zero. ### Final Conclusion: - Both statements are true, but Statement 2 is not the correct explanation for Statement 1. Therefore, the correct answer is that Statement 1 is true, Statement 2 is true, but Statement 2 is not the correct explanation for Statement 1.
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