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A conducting sphere of radius 10 cm has unknown charge. If the electric field at a distance 20 cm from the centre of the sphere is 1.2 x 103N C-1 and points radially inwards. The net charge on the sphere is
  • a)
    -4.5 x 10-9 C
  • b)
    4.5 x 109 C
  • c)
    -5.3 x 10-9 C
  • d)
    5.3 x 109 C
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A conducting sphere of radius 10 cm has unknown charge. If the electri...
Here, distance of point from the centre of the sphere, r = 20 cm = 0.2m
Electric field, E =  -1.2 x 103 N C-1
 
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Most Upvoted Answer
A conducting sphere of radius 10 cm has unknown charge. If the electri...
Understanding the Problem
A conducting sphere with a radius of 10 cm has an unknown charge. The electric field at a distance of 20 cm from the center of the sphere is given as 1.2 x 10^3 N/C and points radially inwards, indicating that the sphere has a net negative charge.
Key Concepts
- Electric Field Due to a Charged Sphere: For a conducting sphere, the electric field outside the sphere behaves as though all the charge were concentrated at the center. The formula for the electric field (E) at a distance (r) from the center is given by:
E = k * |Q| / r²
where k is the Coulomb's constant (approximately 8.99 x 10^9 Nm²/C²) and Q is the net charge.
- Direction of the Electric Field: The inward direction of the electric field indicates that the charge on the sphere is negative.
Calculating the Charge
Given:
- E = 1.2 x 10^3 N/C
- r = 20 cm = 0.2 m
- k = 8.99 x 10^9 Nm²/C²
Substituting the values into the electric field equation:
1. Rearranging gives: Q = E * r² / k
2. Plugging the values:
Q = (1.2 x 10^3 N/C) * (0.2 m)² / (8.99 x 10^9 Nm²/C²)
3. Calculating:
Q = (1.2 x 10^3) * (0.04) / (8.99 x 10^9)
Q = -5.3 x 10^-9 C (the negative sign shows the charge is negative)
Conclusion
The net charge on the conducting sphere is approximately -5.3 x 10^-9 C, confirming that option 'C' is correct.
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A conducting sphere of radius 10 cm has unknown charge. If the electric field at a distance 20 cm from the centre of the sphere is 1.2 x 103N C-1 and points radially inwards. The net charge on the sphere isa)-4.5 x 10-9Cb)4.5 x 109Cc)-5.3 x 10-9Cd)5.3 x 109CCorrect answer is option 'C'. Can you explain this answer?
Question Description
A conducting sphere of radius 10 cm has unknown charge. If the electric field at a distance 20 cm from the centre of the sphere is 1.2 x 103N C-1 and points radially inwards. The net charge on the sphere isa)-4.5 x 10-9Cb)4.5 x 109Cc)-5.3 x 10-9Cd)5.3 x 109CCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A conducting sphere of radius 10 cm has unknown charge. If the electric field at a distance 20 cm from the centre of the sphere is 1.2 x 103N C-1 and points radially inwards. The net charge on the sphere isa)-4.5 x 10-9Cb)4.5 x 109Cc)-5.3 x 10-9Cd)5.3 x 109CCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A conducting sphere of radius 10 cm has unknown charge. If the electric field at a distance 20 cm from the centre of the sphere is 1.2 x 103N C-1 and points radially inwards. The net charge on the sphere isa)-4.5 x 10-9Cb)4.5 x 109Cc)-5.3 x 10-9Cd)5.3 x 109CCorrect answer is option 'C'. Can you explain this answer?.
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