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) gt I_(R)^(B)`
B. `I_(R)^(A) lt I_(R)^(B)`
C. `V_(C )^(A) gt V_(C )^(B)`
D. `V_(C )^(A) lt V_(C )^(B)`

Answer

A, C

Explanation

`Z = sqrt(R^(2) + X_(c )^(2)) = sqrt(R^(2) + ((1)/(omega C))^(2))`
In case `(B) X_(C )` will be less hence `Z` is the lens or current in more hence `(B)`
Also, `V_(C ) = sqrt(V^(2) - (IR)^(2)) I` is more is `(B)` hence `V_(C )` is less in `(B)` ,hence `(C )`