The figure shows a network of currents. The v | vedclass

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

Question

(C) According to Kirchhoff's Current Law $(KCL)$,the sum of currents entering a junction must equal the sum of currents leaving the junction.Let us an

Vedclass · Accepted Answer

$13$

Vedclass · Answer

(C) According to Kirchhoff's Current Law $(KCL)$,the sum of currents entering a junction must equal the sum of currents leaving the junction.Let us analyze the junctions in the circuit.$1$. At the left junction: $10 \, A$ enters,and it splits into two branches. Let the upper branch current be $I_1$ and the lower branch current be $6 \, A$. Thus,$10 = I_1 + 6$,which gives $I_1 = 4 \, A$.$2$. At the top junction: $1 \, A$ enters from the top and $I_1 = 4 \, A$ enters from the left. These combine to flow into the right branch. Let this current be $I_2$. Thus,$I_2 = 1 + 4 = 5 \, A$.$3$. At the bottom junction: $6 \, A$ leaves from the left branch and $2 \, A$ enters from the bottom. The current flowing into the right branch from this junction is $I_3$. By $KCL$,$6 + I_3 = 2$ is incorrect based on the diagram flow; looking at the arrows,$6 \, A$ enters the bottom junction and $2 \, A$ enters the bottom junction,so the total current leaving towards the right is $I_3 = 6 + 2 = 8 \, A$.$4$. At the right junction: $I_2 = 5 \, A$ enters from the top and $I_3 = 8 \, A$ enters from the bottom. These combine to form the output current $I$. Thus,$I = 5 + 8 = 13 \, A$.

The figure shows a network of currents. The values of the currents are shown in the figure. What is the value of current $I$ in $A$?

Similar Questions

In the circuit shown in the figure,the current $I$ is (in $\,A$)

Five resistors are connected as shown in the diagram. The equivalent resistance between $A$ and $B$ is .............. $\Omega$.

The current through the $2 \Omega$ resistor of the given circuit is . . . . . . $mA$.

In the circuit shown in the adjoining figure,the current between $B$ and $D$ is zero. The unknown resistance $X$ is ................ $\Omega$.

In the circuit shown below,the resistance of the galvanometer is $20 \, \Omega$. In which of the following alternatives are the currents arranged strictly in decreasing order?

Vedclass Test Series

Exam Paper Generator

Online Exam Module