CameraIcon

SearchIcon

MyQuestionIcon

169

You visited us 169 times! Enjoying our articles? Unlock Full Access!

Kirchoff's Junction Law

In the circui...

Question

In the circuit, given in the figure currents in different branches and value of one resisitor are shown. Then potential at point $B$ with respect to the point $A$ is

A

+ 2 V

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

B

- 2 V

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

C

- 1 V

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

D

+ 1 V

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

Open in App

Solution

The correct option is D $+ 1 V$

Using Kirchoff's junction at $C$ , we get

$\Rightarrow i_{1} + i_{3} = i_{2}$
$\Rightarrow 1 A + i_{3} = 2 A \Rightarrow i_{3} = 1 A$
Now using Kirchoff's loop law along $A C D B$
$V_{A} + 1 + i_{3} (2) - 2 = V_{B}$
$\Rightarrow V_{A} + + 1 + i_{3} (2) - 2 = V_{B}$
$\Rightarrow V_{B} - V_{A} = 3 - 2 = 1 V$

Suggest Corrections

thumbs-up

7

Similar questions

Q. In the circuit shown in figure,

E_{1} = 3 V, E_{2} = 2 V, E_{3} = 1 V

r_{1} = r_{2} = r_{3} = 1 o h m

(a) Find the potential difference between the points

A

B

and the currents through each branch.
(b) If

r_{2}

is short circuited and the point

A

is connected to point

B

through a resistance

R

, find the currents through

E_{1}, E_{2}, E_{3}

and the resistor

R

.

Q. In Column I, the currents through different branches and voltage between different points of the circuit shown are specified as A, B, C and D. In Column II, values are given, one or more of which may correspond to those in Column I.

Q. In the circuit shown in figure, emf of the batteries are

E_{1} = 3 V, E_{2} = 2 V, E_{3} = 1 V

and their internal resistances are

R = r_{1} = r_{2} = r_{3} = 1 Ω

. The potential difference between the points

A

B

, and the current through branch containing resistor

r_{2}

will be respectively

Q. What resistor should be connected in parallel with the

20 Ω

resistor in branch

A D C

in the circuit shown in Figure so that potential difference between

B

D

Q. Figure shows a part of a circuit. If a current of

12 m A

5 k Ω

resistor, find the currents in the other three resistors. What is the potential difference between the points

A

B

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Kirchoff' Junction Law

PHYSICS

Watch in App

explore_more_icon

Explore more

Kirchoff's Junction Law

Standard X Physics

Join BYJU'S Learning Program

CrossIcon