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QJEEM23Phbcf8: JEE Main 2023 Physics - Class 12 JEEM23Phbcf8 Solution: For a charged spherical ball, electrostatic potential inside…

For a charged spherical ball, electrostatic potential inside the ball varies with r as V=2ar2+b.

Here, a and b are constant and r is the distance from the center. The volume charge density inside the ball is −λaε. The value of λ is ____________.

ε = permittivity of the medium

Step-by-Step Verified Solution

V=2ar2+b

⇒E=−dVdr=−4ar

⇒14πεQr2=−4ar

⇒Q43πr3=3×ε×(−4a)=−12aε

⇒λ=12

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