A battery of internal resistance 4,Omega is c | vedclass

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

Question

(A) According to the maximum power transfer theorem,the maximum power is delivered to the external circuit when the external resistance $(R_{eq})$ is

Vedclass · Accepted Answer

$19/21\,\Omega$

Vedclass · Answer

(A) According to the maximum power transfer theorem,the maximum power is delivered to the external circuit when the external resistance $(R_{eq})$ is equal to the internal resistance $(r)$ of the battery.$1$. First,simplify the circuit. The circuit consists of two parallel branches connected across the battery terminals $A$ and $B$.$2$. The left branch has resistors $2R$,$4R$,and $6R$ in series. Their equivalent resistance is $R_1 = 2R + 4R + 6R = 12R$.$3$. The right branch has resistors $R$,$2R$,and $4R$ in series. Their equivalent resistance is $R_2 = R + 2R + 4R = 7R$.$4$. These two branches are in parallel. The equivalent external resistance $R_{eq}$ is given by:$\frac{1}{R_{eq}} = \frac{1}{12R} + \frac{1}{7R} = \frac{7 + 12}{84R} = \frac{19}{84R}$$R_{eq} = \frac{84R}{19}$$5$. For maximum power transfer,$R_{eq} = r$,where $r = 4\,\Omega$.$\frac{84R}{19} = 4$$84R = 76$$R = \frac{76}{84} = \frac{19}{21}\,\Omega$.

$A$ battery of internal resistance $4\,\Omega$ is connected to a network of resistors as shown in the figure. If maximum power is to be delivered to the network,the magnitude of $R$ in $\Omega$ should be:

Similar Questions

$A$ copper voltameter is connected to a $12 \, V$ source,and $2 \, g$ of copper is deposited in $30 \, min$. If this cell is connected to a $6 \, V$ source,how much copper (in $g$) will be deposited in $45 \, min$?

The potential difference $(V_A - V_B)$ between the points $A$ and $B$ in the given figure is ............ $V$.

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

Two resistors of $200\Omega$ and $400\Omega$ are connected in series with a battery of $100\text{ V}$. $A$ bulb rated at $200\text{ V}, 100\text{ W}$ is connected across the $400\Omega$ resistance. The potential drop across the bulb is . . . . . . $\text{V}$.

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

Vedclass Test Series

Exam Paper Generator

Online Exam Module