In the following circuit,the battery has an e | vedclass

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

Question

(A) First,we calculate the equivalent resistance of the external circuit. The circuit consists of five $2 \ \Omega$ resistors. By symmetry,the potenti

Vedclass · Accepted Answer

$1.5$

Vedclass · Answer

(A) First,we calculate the equivalent resistance of the external circuit. The circuit consists of five $2 \ \Omega$ resistors. By symmetry,the potential at the two middle nodes is equal,so no current flows through the diagonal resistors. The circuit simplifies to two parallel branches,each containing two $2 \ \Omega$ resistors in series.
Each branch has a resistance of $2 \ \Omega + 2 \ \Omega = 4 \ \Omega$.
Since there are two such branches in parallel,the external equivalent resistance $R_{	ext{ext}}$ is $\frac{4 \ \Omega}{2} = 2 \ \Omega$.
The total resistance of the circuit is $R_{	ext{total}} = R_{	ext{ext}} + r = 2 \ \Omega + \frac{2}{3} \ \Omega = \frac{8}{3} \ \Omega$.
The total power consumption in the circuit is given by $P = \frac{E^2}{R_{	ext{total}}}$.
Substituting the values,$P = \frac{2^2}{8/3} = \frac{4}{8/3} = \frac{12}{8} = 1.5 \ W$.

In the following circuit,the battery has an emf of $2 \ V$ and an internal resistance of $\frac{2}{3} \ \Omega$. The power consumption in the entire circuit is $..... \ W$.

Similar Questions

$A$ light bulb of resistance $R = 16 \, \Omega$ is attached in series with an infinite resistor network with identical resistances $r$ as shown below. $A$ $10 \, V$ battery drives current in the circuit. Find the value of $r$ in $\Omega$ such that the bulb dissipates about $1 \, W$ of power.

$50\,\Omega$ and $100\,\Omega$ resistors are connected in series. This combination is connected to a battery of $2.4\,V$. When a voltmeter of $100\,\Omega$ resistance is connected across the $100\,\Omega$ resistor,the reading of the voltmeter will be ............. $V$.

When two identical resistors are connected in series to an ideal cell,the current through each resistor is $2 \ A$. If the resistors are connected in parallel to the same cell,the current through each resistor is: (in $A$)

An external resistance $R$ is connected to a battery of $e.m.f.$ $V$ and internal resistance $r$. The joule heat produced in resistor $R$ is maximum when $R$ is equal to

The reading of the voltmeter in the circuit shown is ............. $V$. (in $.25$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module