SATHEE: Electrostatics Question 661

Electrostatics Question 661

Question: Two semicircular rings lying in the same plane of uniform linear charge density $λ$ have radii r and 2r. They are joined using two straight uniformly charged wires of linear charge density $λ$ and length r . The magnitude of electric field at common centre of semi-circular rings is

Options:

A) $\frac{1}{4 π ε_{0}} \frac{3 λ}{2 r}$

B) $\frac{1}{4 π ε_{0}} \frac{λ}{2 r}$

C) $\frac{1}{4 π ε_{0}} \frac{2 λ}{r}$

D) $\frac{1}{4 π ε_{0}} \frac{λ}{r}$

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Answer:

Correct Answer: D

Solution:

[d] The electric field due to both straight wires shall cancel at common centre O.

The electric field due to larger and smaller semi-circular rings at O be E and E’ respectively.

$E = \frac{1}{4 π ε_{0}} \frac{2 λ}{2 r} E^{'} \frac{1}{4 π^{e_{0}}} \frac{2 λ}{r}$

$∴$ Magnitude of electric field at O is $= E - \frac{1}{4 π ε_{0}} (\frac{2 λ}{r} - \frac{λ}{r}) = \frac{1}{4 π ε_{0} r} \frac{λ}{r}$

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Electrostatics Question 661

Question: Two semicircular rings lying in the same plane of uniform linear charge density $λ$ have radii r and 2r. They are joined using two straight uniformly charged wires of linear charge density $λ$ and length r . The magnitude of electric field at common centre of semi-circular rings is

Options:

Answer:

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

Electrostatics Question 661

Question: Two semicircular rings lying in the same plane of uniform linear charge density λ have radii r and 2r. They are joined using two straight uniformly charged wires of linear charge density λ and length r . The magnitude of electric field at common centre of semi-circular rings is

Options:

Answer:

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

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Question: Two semicircular rings lying in the same plane of uniform linear charge density $λ$ have radii r and 2r. They are joined using two straight uniformly charged wires of linear charge density $λ$ and length r . The magnitude of electric field at common centre of semi-circular rings is