In the circuit shown- the cell is ideal- with emf - 15 V- Each resistor is of 3- The potential difference across the capacitor is -

You visited us 1 times! Enjoying our articles? Unlock Full Access!

AC Applied to a Resistor

In the circui...

Question

In the circuit shown, the cell is ideal, with emf = $15 V$ . Each resistor is of $3 Ω$ . The potential difference across the capacitor is :

0

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

9 V

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

12 V

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

15 V

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

Open in App

Solution

The correct option is C $12 V$
In the steady state capacitor is fully charged so no current will flow through resistor on most right resistor.
By Kirchhoff's law for loop ABCEFA and CHGEC, we will get
$3 i_{1} + 3 (i_{1} + i_{2}) = 15 \Rightarrow 2 i_{1} + i_{2} = 5 . . . (1)$ and
$3 i_{2} + 3 i_{2} - 3 i_{1} = 0 \Rightarrow i_{1} = 2 i_{2} . . . (2)$
From (1) and (2), $5 i_{2} = 5 \Rightarrow i_{2} = 1$ and $i_{1} = 2$
Thus potential across capacitor $= 3 i_{2} + 3 (i_{1} + i_{2}) = 3 + 9 = 12 V$

Suggest Corrections

Similar questions

Q. In the circuit shown, the cell is ideal, with

e m f = 15 v

. Each resistance is of

3 Ω

. The potential difference across the capacitor is

In the given circuit, the potential difference across the capacitor is 12 V in steady state. Each resistor have $3 Ω$ resistance. The emf of the ideal battery is

Q. In the circuit shown in Figure, the cell is ideal with emf 15 V. Each resistance is of

3 Ω

. The potential difference across the capacitor in steady state is

Q. In the given circuit, the potential difference across the capacitor is

10 V

. Each resistance is

3 Ω

. The cell is ideal. The emf of the cell is

Q. In the shown circuit, all three capacitor are identical and have capacitance C each. Each resistor has resistance of R. An ideal cell of emf V is connected as shown. Then the potential difference across capacitor

C_{3}

in steady state is :

Join BYJU'S Learning Program

In the circuit shown, the cell is ideal, with emf = 15 V. Each resistor is of 3 Ω. The potential difference across the capacitor is :

In the circuit shown, the cell is ideal, with emf = $15 V$ . Each resistor is of $3 Ω$ . The potential difference across the capacitor is :