Find the current in the 6,Omega resistance. | vedclass

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

Question

(C) The circuit consists of a $10\,V$ battery in series with a $3\,\Omega$ resistor,which is in parallel with a branch containing $2\,\Omega$ and $1\,

Vedclass · Accepted Answer

$\frac{4}{3}\,A$

Vedclass · Answer

(C) The circuit consists of a $10\,V$ battery in series with a $3\,\Omega$ resistor,which is in parallel with a branch containing $2\,\Omega$ and $1\,\Omega$ resistors in series. This entire combination is in series with a $6\,\Omega$ resistor.First,calculate the equivalent resistance of the parallel part:$R_p = (2 + 1) \parallel 3 = \frac{3 	imes 3}{3 + 3} = \frac{9}{6} = 1.5\,\Omega$.Now,the total resistance of the circuit is:$R_{eq} = R_p + 6\,\Omega = 1.5 + 6 = 7.5\,\Omega$.The total current $I$ flowing from the battery is:$I = \frac{V}{R_{eq}} = \frac{10}{7.5} = \frac{100}{75} = \frac{4}{3}\,A$.Since the $6\,\Omega$ resistor is in series with the entire parallel combination,the total current $I$ flows through it.Therefore,the current in the $6\,\Omega$ resistance is $\frac{4}{3}\,A$.

Find the current in the $6\,\Omega$ resistance.

Similar Questions

$A$ cell has an emf of $2 \, V$ and an internal resistance of $0.1 \, \Omega$. It is connected to an external resistance of $3.9 \, \Omega$. The terminal voltage across the cell will be: (in $V$)

In the given circuit,the reading of the ideal voltmeter is $\frac{E}{2}$. Find the internal resistance $r$ of the cell in $\Omega$.

An electric bulb rated for $500\, W$ at $100\, V$ is used in a circuit having a $200\, V$ supply. The resistance $R$ that must be put in series with the bulb,so that the bulb draws $500\, W$,is ................. $\Omega$.

In the given circuit,the potential of the point $E$ is

Inside a superconducting ring,six identical resistors each of resistance $R$ are connected as shown in the figure. Imagine a battery of $emf$ $E$ connected between points $O$ and $1$,with its positive terminal connected to $O$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module