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A sereis R-C circuit is connected to AC ...

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?

A

`I_(R)^(A) gt I_(R)^(B)`

B

`I_(R)^(A) lt I_(R)^(B)`

C

`I_(C)^(A) gt I_(C)^(B)`

D

`I_(C)^(A) lt I_(C)^(B)`

Text Solution

Verified by Experts

The correct Answer is:
B
`I_(R)^(A)=V/Z , Z' lt Z`
`I_(R)^(B)=V/Z , I_(R)^(A) lt I_(R)^(B)`
`I_(R)^(A) lt I_(R)^(B)`
So `V_(C)^(A) gt V_(C)^(B) , because V_(R)^(2)+V_(C)^(2)=V_(0)^(2)`
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