Published by:
CGP EDU Academic Team
Published on: September 12, 2026
A uniform wire is bent in the form of a circle of radius R. A current I enters at A and leaves at C as shown in the figure: If the length ABC is half of the length ADC, the magnetic field at the center O will be
A
Zero
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
A
Step 1: Identify the wire configuration. The wire is bent in a circular shape with sections AB and CD being different lengths.
Step 2: Analyze the current. Since the current enters at point A and exits at point C, and given that the length ABC is half the length of ADC, the directional contributions of the magnetic field can be evaluated.
Step 3: Determine the contributions of each section of the wire to the magnetic field at the center O.
- The section AB creates a magnetic field directed into the page, while CD creates a magnetic field directed out of the page.
Step 4: Calculate net contributions. The contributions from AB and CD will cancel each other out due to their respective directions and lengths.
Step 5: Conclude that the net magnetic field at point O is zero since the contributions are equal and opposite.
Therefore, the magnetic field at the center O is zero.
Step 2: Analyze the current. Since the current enters at point A and exits at point C, and given that the length ABC is half the length of ADC, the directional contributions of the magnetic field can be evaluated.
Step 3: Determine the contributions of each section of the wire to the magnetic field at the center O.
- The section AB creates a magnetic field directed into the page, while CD creates a magnetic field directed out of the page.
Step 4: Calculate net contributions. The contributions from AB and CD will cancel each other out due to their respective directions and lengths.
Step 5: Conclude that the net magnetic field at point O is zero since the contributions are equal and opposite.
Therefore, the magnetic field at the center O is zero.
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