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A thin semi-circular ring of radius r has a positive charge q distributed uniformly over it. The net field 
the centre is
the centre is 
- a)
- b)
- c)
- d)
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A thin semi-circular ring of radius r has a positive charge q distribu...
FORMULA USED :
E = λ/(2πε0r)
EXPLANATION :
+ve charge of magnitude q is distributed uniformly over the surface. As the charge is on the surface only we can consider it a line charge. so λ = q/πr.
Now see that the electric field lines due to to the positive charge on the surface are directed towards the centre that is in downwards direction. therefore in vector notation, (-j) will be used.
Now substituting the value in the formula,
E = -q/(2πε0r(πr)) j^
=> E = - q/2π²ε0r² j^
E = λ/(2πε0r)
EXPLANATION :
+ve charge of magnitude q is distributed uniformly over the surface. As the charge is on the surface only we can consider it a line charge. so λ = q/πr.
Now see that the electric field lines due to to the positive charge on the surface are directed towards the centre that is in downwards direction. therefore in vector notation, (-j) will be used.
Now substituting the value in the formula,
E = -q/(2πε0r(πr)) j^
=> E = - q/2π²ε0r² j^
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Community Answer
A thin semi-circular ring of radius r has a positive charge q distribu...
Let us consider a differential element dl. charge on this element.
Electric field at O due to dq is
Th e compon ent dE cos θ will be coun ter bala n ced by another element on left portion. Hence resultant field at O is the resultant of the component dE sinθ only.
The direction of E is towards negative y-axis.
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A thin semi-circular ring of radius r has a positive charge q distributed uniformly over it. The net field the centre isa)b)c)d)Correct answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A thin semi-circular ring of radius r has a positive charge q distributed uniformly over it. The net field the centre isa)b)c)d)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A thin semi-circular ring of radius r has a positive charge q distributed uniformly over it. The net field the centre isa)b)c)d)Correct answer is option 'C'. Can you explain this answer?.
A thin semi-circular ring of radius r has a positive charge q distributed uniformly over it. The net field the centre isa)b)c)d)Correct answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A thin semi-circular ring of radius r has a positive charge q distributed uniformly over it. The net field the centre isa)b)c)d)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A thin semi-circular ring of radius r has a positive charge q distributed uniformly over it. The net field the centre isa)b)c)d)Correct answer is option 'C'. Can you explain this answer?.
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