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If \(q_{ f }\) is the free charge on the capacitor plates and \(q_{ b }\) is the bound charge on the dielectric slab of …

Q1

If \(q_{ f }\) is the free charge on the capacitor plates and \(q_{ b }\) is the bound charge on the dielectric slab of dielectric constant \(k\) placed between the capacitor plates, then bound charge \(q_{ b }\) can be expressed as:

[JEE Main 2021, 25 Jul (Shift 2)]

a

\(q_b=q_f\left(1+\frac{1}{\sqrt{k}}\right)\)

b

\(q_b=q_f\left(1-\frac{1}{\sqrt{k}}\right)\)

c

\(q_b=q_f\left(1-\frac{1}{k}\right)\)

d

\(q_b=q_f\left(1+\frac{1}{k}\right)\)

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