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PhysicsElecrostaticsPotential & potential energyMedium2 minPYQ_2023
PhysicsMediumnumerical

Three concentric spherical metallic shellsX, YandZof radiusa, bandcrespectivelya<b<chave surface charge densitiesσ,  σandσ, respectively. The shellsXandZare at same potential. If the radii ofX & Yare2 cmand3 cm, respectively. The radius of shellZis _____cm.

Question diagram: Three concentric spherical metallic shells X , Y and Z of ra
Answer:
5.00
Solution:

The charges on the spheres are

 qX=σ4πa2qY=-σ4πb2qZ=σ4πc2 

It is given that VX=VZ

So, 

qX4πε0a+qY4πε0b+qZ4πε0c=qX4πε0c+qY4πε0c+qZ4πε0cσ4πa2a-σ4πb2b+σ4πc2c=σ4π(a2-b2+c2)cc(a-b+c)=(a2-b2+c2)c=a+b=2 cm+3 cm=5 cm

Stream:JEESubject:PhysicsTopic:ElecrostaticsSubtopic:Potential & potential energy
2mℹ️ Source: PYQ_2023

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