A voltmeter reads 4V when connected to a parallel plate capacitor with air as a dielectric. When a dielectric slab is introduced between plates for the same configuration, voltmeter reads 2V. What is the dielectric constant of the material?
8
2
10
0.5
A
0.5
B
8
C
2
D
10
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Solution
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For a capacitor with dielectric, capacitance is given by:
C=KεoAd
From law of conservation of charge, initial and final charge on the capacitor is same.
Qi=Qf
From definition of capacitance,
CiVi=CfVf
εoAdVi=KεoAdVf
4=2K
K=2
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