In the circuit shown,what is the value of the | vedclass

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

Question

(C) The circuit consists of a $3 \,\Omega$ resistor in series with a parallel combination of a $10 \,\Omega$ resistor and a branch containing a $3 \,\

Vedclass · Accepted Answer

$\sqrt{69} \,\Omega$

Vedclass · Answer

(C) The circuit consists of a $3 \,\Omega$ resistor in series with a parallel combination of a $10 \,\Omega$ resistor and a branch containing a $3 \,\Omega$ resistor in series with $R$.The equivalent resistance $R_{eq}$ between $P$ and $Q$ is given by:$R_{eq} = 3 + \frac{10(R + 3)}{10 + (R + 3)}$Given that $R_{eq} = R$,we have:$R = 3 + \frac{10(R + 3)}{R + 13}$Subtract $3$ from both sides:$R - 3 = \frac{10R + 30}{R + 13}$Cross-multiply:$(R - 3)(R + 13) = 10R + 30$$R^2 + 13R - 3R - 39 = 10R + 30$$R^2 + 10R - 39 = 10R + 30$Subtract $10R$ from both sides:$R^2 - 39 = 30$$R^2 = 69$$R = \sqrt{69} \,\Omega$

In the circuit shown,what is the value of the unknown resistance $R$ such that the total resistance between points $P$ and $Q$ is also equal to $R$?

Similar Questions

In the given circuit,find the current in each resistance. (in $A$)

Which of the following is not a correct statement?

In the circuit shown,the cells $A$ and $B$ have negligible resistance. For $V_{A} = 12 \; V$,$R_{1} = 500 \; \Omega$ and $R = 100 \; \Omega$,the galvanometer $(G)$ shows no deflection. The value of $V_{B}$ is .... $V$.

In the given circuit,the current flowing through the circuit is: (in $A$)

Two bulbs of equal wattage,one having a carbon filament and the other having a tungsten filament,are connected in series to the mains. Then:

Vedclass Test Series

Exam Paper Generator

Online Exam Module