SATHEE: Electrostatics Question 767

Electrostatics Question 767

Question: Two concepts spheres of radii R and r have similar charges with equal surface charge densities $(σ) .$ what is the electric potential at their common center?

Options:

A) $σ / ε_{0}$

B) $\frac{σ}{ε_{0}} (R - r)$

C) $\frac{σ}{ε_{0}} (R + r)$

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

[c] Charge on the outer sphere

$= q_{1} = 4 π R^{2} σ$

Charge on the inner sphere $= q_{2} = 4 π r^{2} σ$

$v = \frac{1}{4 π \in_{0}} \frac{q_{1}}{R} + \frac{1}{4 π \in_{0}} \frac{q_{2}}{r}$

$= \frac{1}{4 π \in_{0}} [\frac{4 π R^{2} σ}{R} + \frac{4 π r^{2} σ}{r}]$

$= \frac{4 π σ}{4 π \in_{0}} (R + r) = \frac{σ}{\in_{0}} (R + r)$

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Electrostatics Question 767

Question: Two concepts spheres of radii R and r have similar charges with equal surface charge densities $(σ) .$ what is the electric potential at their common center?

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 767

Question: Two concepts spheres of radii R and r have similar charges with equal surface charge densities (σ). what is the electric potential at their common center?

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 concepts spheres of radii R and r have similar charges with equal surface charge densities $(σ) .$ what is the electric potential at their common center?