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  4. A parallel plate capacitor with air as medium between the plates has a capacitance of 10 μ F. The area of capacitor is divided into two equal halves and filled with two media as shown in the figure having dielectric constant k1=2 and k2=4. The capacitance of the system will now be

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Q. A parallel plate capacitor with air as medium between the plates has a capacitance of $10\, \mu F$. The area of capacitor is divided into two equal halves and filled with two media as shown in the figure having dielectric constant $k_{1}=2$ and $k_{2}=4$. The capacitance of the system will now bePhysics Question Image

Electrostatic Potential and Capacitance

Solution:

$C_{R}=C_{1}+C_{2}=\frac{k_{1} \varepsilon_{0} A_{1}}{d}+\frac{k_{2} \varepsilon_{0} A_{2}}{d}$
$=\frac{2 \times \varepsilon_{0} \frac{A}{2}}{d}+\frac{4 \times \varepsilon_{0} \frac{A}{2}}{d}$
$=2 \times \frac{10}{2}+4 \times \frac{10}{2}=30\, \mu F$