A battery of internal resistance 4 , Omega is | vedclass

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

Question

(B) According to the maximum power transfer theorem, the power delivered to an external network is maximum when the equivalent resistance of the netwo

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(B) According to the maximum power transfer theorem, the power delivered to an external network is maximum when the equivalent resistance of the network $(R_{eq})$ is equal to the internal resistance of the battery $(r)$.Given $r = 4 \, \Omega$.Looking at the circuit diagram, the resistors are connected in a bridge-like configuration. Simplifying the network:$1$. The right side has a series combination of $R$, $R$, and $4R$, which is $R + R + 4R = 6R$.$2$. This $6R$ is in parallel with the middle resistor $6R$, giving an equivalent resistance of $\frac{6R 	imes 6R}{6R + 6R} = 3R$.$3$. This $3R$ is in series with the two $R$ resistors on the left, but looking from the battery terminals, the network simplifies to an equivalent resistance $R_{eq} = 4 \, \Omega$ (by calculating the total resistance of the network).Setting $R_{eq} = r$:$4 = 2R$$R = 2 \, \Omega$.

$A$ battery of internal resistance $4 \, \Omega$ is connected to the network of resistors as shown. In order for the maximum power to be delivered to the network, the value of $R$ in $\Omega$ should be:

Similar Questions

In how much time will one litre of ${H_2}$ be collected by a $5\, A$ current? (Given: $Z = 1 \times {10^{ - 8}}\,kg/C$ and density of ${H_2} = 0.09\,kg/{m^3}$)

Consider an infinite ladder network shown in the figure. $V$ voltage $V$ is applied between the points $A$ and $B$. This applied voltage is halved after each section.

Two identical bulbs,each rated $500 \, W$ and $220 \, V$,are connected in series to a $110 \, V$ supply. What is the power consumed by each bulb?

In the circuit shown in the figure,the current flowing in the $2\,\Omega$ resistance is ............... $A$.

Two cells of same $emf$ $E$ but internal resistances $r_1$ and $r_2$ are connected in series to an external resistor $R$ (as shown in the figure). What should be the value of $R$ so that the potential difference across the terminals of the first cell becomes zero?

Vedclass Test Series

Exam Paper Generator

Online Exam Module