In the adjoining circuit,the potential differ | vedclass

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

Question

(A) The circuit consists of a parallel combination of a branch containing ($6\, \Omega$ and $3\, \Omega$ in parallel,followed by $2\, \Omega$ in serie

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(A) The circuit consists of a parallel combination of a branch containing ($6\, \Omega$ and $3\, \Omega$ in parallel,followed by $2\, \Omega$ in series) and a branch containing $4\, \Omega$.First,calculate the equivalent resistance of the upper branch. The $6\, \Omega$ and $3\, \Omega$ resistors are in parallel,so their equivalent resistance $R_p$ is given by $R_p = \frac{6 	imes 3}{6 + 3} = \frac{18}{9} = 2\, \Omega$.This $2\, \Omega$ is in series with the other $2\, \Omega$ resistor,so the total resistance of the upper branch is $R_{upper} = 2\, \Omega + 2\, \Omega = 4\, \Omega$.The lower branch also has a resistance of $4\, \Omega$.Since both branches have equal resistance $(4\, \Omega)$,the total current of $2\, A$ splits equally between them. Thus,$1\, A$ flows through the upper branch.The potential difference across the parallel combination of $6\, \Omega$ and $3\, \Omega$ is $V = I_{upper} 	imes R_p = 1\, A 	imes 2\, \Omega = 2\, V$.Since the $6\, \Omega$ and $3\, \Omega$ resistors are in parallel,the potential difference across each is the same,which is $2\, V$.

In the adjoining circuit,the potential difference across $3\, \Omega$ is ............... $V$.

Similar Questions

Amongst the given taxonomic aids,how many are associated with the preservation of specimens? Monograph,Flora,Key,Museums,Botanical Gardens,Catalogue,Herbarium,Manual

If $\cos ^{-1}\left(\frac{5}{13}\right)+\cos ^{-1}\left(\frac{3}{5}\right)=\cos ^{-1} x$,then $x$ is equal to

If the radius of a nucleus with mass number $125$ is $1.5 \text{ fermi}$,then the radius of a nucleus with mass number $64$ is: (in $\text{ fermi}$)

Two gaseous equilibria $SO_{2(g)} + \frac{1}{2} O_{2(g)} \rightleftharpoons SO_{3(g)}$ and $2 SO_{3(g)} \rightleftharpoons 2 SO_{2(g)} + O_{2(g)}$ have equilibrium constants $K_{1}$ and $K_{2}$ respectively at $298 \ K$. Which of the following relationships between $K_{1}$ and $K_{2}$ is correct?

The ratio of anion radius to cation radius of a crystal is $10: 9.3$. Then,the coordination number of the cation in the crystal is

Vedclass Test Series

Exam Paper Generator

Online Exam Module