A $20 V, 50 Hz$ AC source is connected across a resistor of resistance $R$ and a capacitor of capacitance $C$ as shown in the figure. The voltage across the resistor is $12 V$ . The voltage across the capacitor is

18 V

No worries! We‘ve got your back. Try BYJU‘S free classes today!

16 V

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

10 V

No worries! We‘ve got your back. Try BYJU‘S free classes today!

12 V

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $16 V$

For an AC RC circuit,

$V^{2} = V_{R}^{2} + V_{C}^{2}$

$\Rightarrow 20^{2} = 12^{2} + V_{C}^{2}$

$\Rightarrow V_{C} = 16 V$

Hence, option $(B)$ is the correct answer.

Suggest Corrections

Similar questions

A $50 Hz, 20 V AC$ source is connected across $R$ series circuit as shown in Figure If the voltage across $R$ is $12 V$ then voltage across capacitor is

Q. A

50 H z

a.c. source of

20 V

is connected across R and C as shown in figure below. The voltage across R is

12 V

. The voltage across C is:

Q. In the given circuit, peak voltage across the resistor and capacitor are 6V and 8V. At an instant when voltage across capacitor is 4V in magnitude,

A series R-L-C circuit is excited with a 50 V, 50 Hz sinusoidal source. The voltages across the resistance and the capacitance are shown in the figure. The voltage across the inductor $V_{L}$ is V.

Q. A

LCR

series combination is connected to an

AC

source. If voltages across the inductor, capacitor, resistor are

40 V, 80 V

and

40 V

respectively. Then the voltage across the

AC

source is

x V

Join BYJU'S Learning Program

A 20 V, 50 Hz AC source is connected across a resistor of resistance R and a capacitor of capacitance C as shown in the figure. The voltage across the resistor is 12 V. The voltage across the capacitor is

The correct option is B 16 V For an AC RC circuit, V2=V2R+V2C ⇒202=122+V2C ⇒VC=16 V Hence, option (B) is the correct answer.

A $20 V, 50 Hz$ AC source is connected across a resistor of resistance $R$ and a capacitor of capacitance $C$ as shown in the figure. The voltage across the resistor is $12 V$ . The voltage across the capacitor is

The correct option is B $16 V$

For an AC RC circuit,

$V^{2} = V_{R}^{2} + V_{C}^{2}$

$\Rightarrow 20^{2} = 12^{2} + V_{C}^{2}$

$\Rightarrow V_{C} = 16 V$

Hence, option $(B)$ is the correct answer.