A sereis R-C circuit is connected to AC voltage source. Consider two cases, (A) when C is without a dielectric medium and (B) when C is filled with dielectric of constant 4. The current `I_(R)` through the resistor and voltage `V_(c)` across the capacitor are compared in the two cases. Which of the following is/ are true?

Options

A. `I_(R)^(A)gtI_(R)^(B)`
B. `I_(R)^(A)ltI_(R)^(B)`
C. `V_(A)^(C)gtV_(B)^(C)`
D. `V_(A)^(C)gtV_(B)^(C)`

Answer

A, C

Explanation

We know that `Z=sqrt(r^(2)+((1)/(WC))^(2))`
The capacitance in case B is four times the capacitance in case A
Impedance in case B is less then that of case A `(Z_(B)ltZ_(A))`
Now `I=V/Z`
`:. (I_(R)^(A))lt(I_(R)^(B))`. Option (a) is correct.
`:. (V_(R)^(A))lt(V_(R)^(A))`
`:. (V_(C)^(A))lt(V_(C)^(A))`
if V is the applied potential potential difference access
series R-C circuit then `V=sqrt((V_(R)^(2))+(V_(C)^(2)))`]
(c) is the correct option .