Home
Class 12
PHYSICS
A series R-C circuit is connected to AC ...

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

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)`

Text Solution

Verified by Experts

The correct Answer is:
B, C
Case (A): `Z_(A)=sqrt(R^(2)+((1)/(omega C))^(2))`
case (B) `Z_(B)=sqrt(R^(2)+((1)/(omega K C))^(2))`
so, `Z_(B)ltZ_(A)`
`I_(R )^(A)=V/(Z_A)` and `I_(R )^(B) = V/(Z_B) clearly `I_(R )^(A) lt I_(R )^(B)`.
Since currnet in case (B) is greater so, p.d. across R will increases in case(B) and thus across capacitor will decrease.
Hence `V_(C )^(A) gt V_(C)^(B)`. `(V_(R )^(2)+V_(C )^(2)=V_(0)^(2))` .
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ALTERNATING CURRENT

    CENGAGE PHYSICS ENGLISH|Exercise Archives Integer|1 Videos

  • ALTERNATING CURRENT

    CENGAGE PHYSICS ENGLISH|Exercise Single Correct Asnwer Type|27 Videos

  • ALTERNATING CURRENT

    CENGAGE PHYSICS ENGLISH|Exercise Archives Single Correct|2 Videos

  • ATOMIC PHYSICS

    CENGAGE PHYSICS ENGLISH|Exercise ddp.4.3|15 Videos

Similar Questions

Explore conceptually related problems

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 series R-C circuit is connected to an alternating voltage source. Consider two situations (a) When capacitor is air filled. (b) When capacitor is mica filled. current through resistor is i and voltage across capacitor is V then

In a series L, R, C, circuit which is connected to a.c. source. When resonance is obtained then net impedance Z will be

When an a.c source is connected across a resistor

For a series L-C-R circuit with L=1.00 mH, C=10 muF and R=50Omega , is driven with 5V AC voltage. At resosance, the current through the circuit is

Prove that the current flowing through an ideal inductor connected across a.c. source, lags the voltage in phase by pi/2 .

A resistance R is connected at the n terminal of a p-n junction in series. An AC voltage is applied across this circuit. Which of the following are true for the circuit?

A L-C-R circuit with L=1.00 mH, C= 10 muF and R=50Omega , is driven with 5V AC voltage. At resonance, the current through the circuit is

An ac source of 50 V (r.m.s value) is connected across a series R - C circuit. If the r.m.s voltage across the resistor is 40 V, then the r.m.s voltage across the capacitor is

Two capacitors of capacitance C are connected in series. If one of them is filled with dielectric substance K, what is the effective capacitance?

Home
Profile