Physics · Capacitance of a parallel plate capacitor with and without dielectric medium between the plates, energy stored in a capacitor
A parallel plate capacitor of capacitance in air and When dielectric is introduc
A parallel plate capacitor of capacitance \( 6 \mu F \) in air and \( 60 \mu F \) When dielectric is introduced. What is the dielectric constant of the medium.?
- A. 0.4
- B. 0.1
- C. 0.77
- D. 0.25
Step-by-step solution
The dielectric constant (relative permittivity) is defined as the ratio of capacitance with dielectric to capacitance in air: k = C_d / C_0. Given C_d = 6 μF and C_0 = 60 μF (assuming the numbers refer to capacitance with and without dielectric, respectively), then k = 6/60 = 0.1. This matches option B. Note that a dielectric constant less than 1 is physically unusual, but among the given options, this is the only calculation consistent with the numbers.
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