The value of current I in the given circuit i | vedclass

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

Question

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

Vedclass · Accepted Answer

$28$

Vedclass · Answer

(D) According to Kirchhoff's Current Law $(KCL)$,the sum of currents entering a junction must equal the sum of currents leaving the junction.
Let the four junctions be $J_1$ (top-left),$J_2$ (top-right),$J_3$ (bottom-left),and $J_4$ (bottom-right).
At junction $J_1$: $20 \ A$ enters,$15 \ A$ leaves downwards,and $x \ A$ leaves towards the right. So,$20 = 15 + x \implies x = 5 \ A$.
At junction $J_3$: $15 \ A$ enters from above and $5 \ A$ enters from the bottom-left. The total current $15 + 5 = 20 \ A$ leaves towards the right.
At junction $J_2$: $5 \ A$ enters from the left and $3 \ A$ enters from the top-right. The total current $5 + 3 = 8 \ A$ leaves downwards.
At junction $J_4$: $20 \ A$ enters from the left and $8 \ A$ enters from above. The total current $I = 20 + 8 = 28 \ A$ leaves through the branch $I$.
Thus,the value of current $I$ is $28 \ A$.

The value of current $I$ in the given circuit is (in $A$)

Similar Questions

In the figure shown,the current in the $10 \, V$ battery is close to

Five conductors meet at a point $x$ as shown in the figure. What is the current flowing through the fifth conductor?

When the value of $R$ in the balanced Wheatstone bridge, shown in the figure, is increased from $5 \Omega$ to $7 \Omega$, the value of $S$ has to be increased by $3 \Omega$ in order to maintain the balance. What is the initial value of $S$ (in $\Omega$)?

In the network shown in the figure,each of the resistance is equal to $2\,\Omega$. The resistance between the points $A$ and $B$ is .............. $\Omega$.

The potential at point $E$ for the given figure is ................ $V$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module