In the given circuit,E_1 = E_2 = E_3 = 2 , V | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The circuit consists of three parallel branches connected between points $A$ and $B$.Branch $1$ has an $EMF$ $E_1 = 2 \, V$ and resistance $R_1 =

Vedclass · Accepted Answer

$0$

Vedclass · Answer

(A) The circuit consists of three parallel branches connected between points $A$ and $B$.Branch $1$ has an $EMF$ $E_1 = 2 \, V$ and resistance $R_1 = 4 \, \Omega$.Branch $2$ has an $EMF$ $E_2 = 2 \, V$ and zero resistance.Branch $3$ has an $EMF$ $E_3 = 2 \, V$ and resistance $R_2 = 4 \, \Omega$.Since all branches are in parallel,the potential difference $V_{AB}$ across each branch is the same.Using Millman's theorem for parallel branches: $V_{AB} = \frac{\sum (E_i / R_i)}{\sum (1 / R_i)}$.Here,$R_2$ (middle branch) is $0 \, \Omega$ (ideal wire),so $V_{AB} = E_2 = 2 \, V$.The current in branch $1$ is $I_1 = (E_1 - V_{AB}) / R_1 = (2 - 2) / 4 = 0 \, A$.The current in branch $3$ is $I_3 = (E_3 - V_{AB}) / R_2 = (2 - 2) / 4 = 0 \, A$.The current in the middle branch is determined by the external circuit connected to $A$ and $B$. If $A$ and $B$ are open,the total current flowing between $A$ and $B$ is $0 \, A$.

In the given circuit,$E_1 = E_2 = E_3 = 2 \, V$ and $R_1 = R_2 = 4 \, \Omega$. What is the current flowing between points $A$ and $B$ (in $, A$)?

Similar Questions

For the circuit shown,the value of current at time $t=3.2 \, s$ will be ...... $A$. (Voltage distribution $V(t)$ is shown by Figure $1$ and the circuit is shown in Figure $2$)

In the circuit shown,if a conducting wire is connected between points $A$ and $B,$ the current in this wire will

In the given circuit, the cells have zero internal resistance. The currents (in Amperes) passing through resistance $R_1$ and $R_2$ respectively, are

In the given circuit,the current flowing through the circuit is: (in $A$)

In the circuit shown below,the current that flows from $a$ to $b$ when the switch $S$ is closed is ............... $A$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module