The plates of a parallel plate capacitor are | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Let the initial distance between the plates be $d$ and the electric field be $E$. The potential difference is $V = Ed$.When a dielectric slab of t

Vedclass · Accepted Answer

$5$

Vedclass · Answer

(A) Let the initial distance between the plates be $d$ and the electric field be $E$. The potential difference is $V = Ed$.When a dielectric slab of thickness $t = 2 \, mm$ and dielectric constant $K$ is inserted,and the plate separation is increased by $\Delta d = 1.6 \, mm$,the new distance becomes $d' = d + 1.6 \, mm$.The potential difference remains the same,so $V = E(d' - t) + \frac{E}{K}t$.Substituting the values: $Ed = E(d + 1.6 - 2) + \frac{E}{K}(2)$.$Ed = E(d - 0.4) + \frac{2E}{K}$.$Ed = Ed - 0.4E + \frac{2E}{K}$.$0.4E = \frac{2E}{K}$.$K = \frac{2}{0.4} = 5$.

The plates of a parallel plate capacitor are charged up to $100 \, V$. $A$ $2 \, mm$ thick plate is inserted between the plates. To maintain the same potential difference,the distance between the capacitor plates is increased by $1.6 \, mm$. The dielectric constant of the plate is:

Similar Questions

The foci of the hyperbola $\frac{x^2}{16} - \frac{(y - 2)^2}{9} = 1$ are

Haversian canals are found in

$5.6 \ L$ of helium gas at $STP$ is adiabatically compressed to $0.7 \ L$. Taking the initial temperature to be $T_1$,the work done in the process is

The output characteristics of an $n-p-n$ transistor represent,($I_C=$ collector current,$V_{C E}=$ potential difference between collector and emitter,$I_B=$ base current,$V_{B B}=$ voltage given to base,$V_{B E}=$ the potential difference between base and emitter)

$A$ car is fitted with a convex side-view mirror of focal length $20\ cm$. $A$ second car $2.8\ m$ behind the first car is overtaking the first car at a relative speed of $15\ m/s$. The speed of the image of the second car as seen in the mirror of the first one is

Vedclass Test Series

Exam Paper Generator

Online Exam Module