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

The reading of the ammeter as per the figure shown is:

When a current of $2 \ A$ flows through a conductor,$80 \ J$ of heat is produced in $10 \ s$. The resistance of the conductor is ........... $\Omega$.

$A$ current of $1.5\, A$ flows through a copper voltameter. The thickness of copper deposited on the electrode surface of area $50\, cm^2$ in $20\, min$ will be (Density of copper $= 9000\, kg/m^3$ and $E.C.E.$ of copper $= 0.00033\, g/C$).

Find the current in the $3\,\Omega$ resistance in the given circuit.

For the given circuit,the potential difference between $x$ and $y$ is ......... (in $V$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module