The figure shows a network of four resistance | vedclass

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

Question

(A) Let $I_1$ be the current in the left loop and $I_2$ be the current in the right loop. Applying Kirchhoff's voltage law to the left loop $(ABCF)$:

Vedclass · Accepted Answer

The potential difference $V_C - V_F = 6\,V.$

Vedclass · Answer

(A) Let $I_1$ be the current in the left loop and $I_2$ be the current in the right loop. Applying Kirchhoff's voltage law to the left loop $(ABCF)$: $30 - 4I_1 - 6 - 2I_1 = 0 \implies 6I_1 = 24 \implies I_1 = 4\,A.$ Applying Kirchhoff's voltage law to the right loop $(CDEF)$: $15 - 1I_2 - 6 - 2I_2 = 0 \implies 3I_2 = 9 \implies I_2 = 3\,A.$ The current flowing through the branch $CF$ is $I = I_1 + I_2 = 4 + 3 = 7\,A.$ Since the current $I$ flows from $C$ to $F$,the potential difference $V_C - V_F$ across the $6\,V$ battery is given by $V_C - V_F = E + Ir = 6 + 7(0) = 6\,V$ (assuming internal resistance is zero). Thus,the potential difference $V_C - V_F = 6\,V$ and the current flows from $C$ to $F$. Therefore,none of the given options $(A), (B), (C)$ are strictly correct based on the standard interpretation of the circuit,but $(A)$ is a correct statement about the potential difference.

The figure shows a network of four resistances and three batteries. Choose the correct alternative.

Similar Questions

In the circuit shown,the end $A$ is at potential $V_0$ and end $B$ is grounded. The electric current $I$ indicated in the circuit is

In a typical Wheatstone network,the resistances in cyclic order are $A = 10 \,\Omega $,$B = 5 \,\Omega $,$C = 4 \,\Omega $ and $D = 4 \,\Omega $. What should be done for the bridge to be balanced?

Five equal resistances each of $2R$ are connected as shown in the figure. $A$ battery of $V$ volts is connected between $A$ and $B$. Then,the current through $FC$ is:

What is the value of the current flowing through the galvanometer in the balanced condition of a Wheatstone bridge?

In the given figure,the value of resistance $X$ will be,when the potential difference between $B$ and $D$ is zero. (in $\Omega$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module