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NEET PHYSICSELECTRIC CHARGES AND FIELDSEasy

Question

A thin conducting ring of radius R is given a charge +Q. The electric field at the centre O of the ring due to the charge on the part AKB of the ring is E. The electric field at the centre due to the charge on the part ACDB of the ring is:

A

3E along KO

B

E along OK

C

E along KO

D

3E along OK

Step-by-Step Solution

The electric field at the center of a uniformly charged circular ring is zero because the fields produced by diametrically opposite elements cancel each other out. According to the principle of superposition, the net electric field at the center (Etotal\vec{E}_{total}) is the vector sum of the field due to arc AKB (EAKB\vec{E}_{AKB}) and the field due to the rest of the ring, arc ACDB (EACDB\vec{E}_{ACDB}).

Etotal=EAKB+EACDB=0\vec{E}_{total} = \vec{E}_{AKB} + \vec{E}_{ACDB} = 0

This implies: EACDB=EAKB\vec{E}_{ACDB} = -\vec{E}_{AKB}

This means the field due to ACDB must be equal in magnitude to the field due to AKB (EE) but opposite in direction. Since the charge is positive, the field EAKB\vec{E}_{AKB} is directed away from the arc AKB, i.e., from K towards O (along KO). Therefore, the opposing field EACDB\vec{E}_{ACDB} must be directed from O towards K (along OK).

Exam Context & Concepts Covered

This question aligns with the NEET PHYSICS syllabus, specifically targeting concepts from ELECTRIC CHARGES AND FIELDS. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

PHYSICSELECTRIC CHARGES AND FIELDSconductingradiuschargeelectriccentre

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