For the circuit shown in the figure,calculate | vedclass

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

Question

(B) To find the equivalent resistance between $A$ and $B$,we simplify the circuit from the rightmost end.$1$. The last two resistors (a series $R$ and

Vedclass · Accepted Answer

$R$

Vedclass · Answer

(B) To find the equivalent resistance between $A$ and $B$,we simplify the circuit from the rightmost end.$1$. The last two resistors (a series $R$ and a vertical $R$) are in series: $R_{	ext{eq1}} = R + R = 2R$.$2$. This $2R$ is in parallel with the vertical $2R$ resistor: $R_{	ext{eq2}} = \frac{2R 	imes 2R}{2R + 2R} = R$.$3$. Now,this $R$ is in series with the next horizontal $R$: $R_{	ext{eq3}} = R + R = 2R$.$4$. This $2R$ is in parallel with the next vertical $2R$: $R_{	ext{eq4}} = \frac{2R 	imes 2R}{2R + 2R} = R$.$5$. Continuing this pattern,the next horizontal $R$ is in series with $R$: $R_{	ext{eq5}} = R + R = 2R$.$6$. This $2R$ is in parallel with the next vertical $2R$: $R_{	ext{eq6}} = \frac{2R 	imes 2R}{2R + 2R} = R$.$7$. Finally,this $R$ is in series with the first horizontal $R$: $R_{	ext{eq7}} = R + R = 2R$.$8$. This $2R$ is in parallel with the first vertical $2R$: $R_{	ext{eq8}} = \frac{2R 	imes 2R}{2R + 2R} = R$.Thus,the equivalent resistance between $A$ and $B$ is $R$. The correct option is $B$.

For the circuit shown in the figure,calculate the resistance between the points $A$ and $B$.

Similar Questions

The figure shows a network of resistors and a battery. If $1\,A$ current flows through the branch $CF$,then answer the following questions. The current through:

The current in a simple series circuit is $5.0 \, A$. When an additional resistance of $2.0 \, \Omega$ is inserted, the current drops to $4.0 \, A$. The original resistance of the circuit in $\Omega$ was:

If each resistance in the figure is of $9\,\Omega$,then the reading of the ammeter is ............ $A$.

$A$ torch battery consists of two cells of $1.45\,V$ and an internal resistance of $0.15\,\Omega$ each. Both cells send current through the filament of a lamp having a resistance of $1.5\,\Omega$. The value of the current will be ....... $A$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module