Plates of a parallel plate capacitor of capacitance $$4$$μF is connected to the terminals of a battery of $$12$$ volt. Now the battery is disconnected from the capacitor and the plates of the capacitor are connected to the plates of a $$1$$μF parallel plate uncharged capacitor. If a dielectric slab of dielectric constant k $$=$$ $$2$$ is introduced into the space between the plates of $$1$$μF capacitor, The potential difference across the combination of capacitors is

Question

Plates of a parallel plate capacitor of capacitance $$4$$μF is connected to the terminals of  a battery of $$12$$ volt. Now the battery is disconnected from the capacitor and the plates of the capacitor are connected to the plates of a  $$1$$μF parallel plate uncharged capacitor. If a dielectric slab of dielectric constant k $$=$$ $$2$$ is introduced into the space between the plates of $$1$$μF capacitor, The potential difference across the combination of capacitors is

Infinity Learn · Accepted Answer

Q $$=$$ Charge on the combination of capacitors $$=4$$ x $$12$$ μ$$C=48$$μCCe $$=$$ Equivalent capacitance $$=4+1$$ x $$2$$μ$$F=6$$μF∴V'$$=QCe=486volt=8$$ volt

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