The equivalent resistance of a group of resis | vedclass

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

Question

(D) The equivalent resistance of the group of resistances is $R$.Case $1$: When a resistance $r$ is connected in parallel to the group,the new equival

Vedclass · Accepted Answer

Both $(B)$ and $(C)$

Vedclass · Answer

(D) The equivalent resistance of the group of resistances is $R$.Case $1$: When a resistance $r$ is connected in parallel to the group,the new equivalent resistance $R_1$ is given by the formula:$R_1 = \frac{R \cdot r}{R + r}$Since $\frac{r}{R + r} Case $2$: When a resistance $r$ is connected in series to the group,the new equivalent resistance $R_2$ is given by:$R_2 = R + r$Since $r > 0$,it follows that $R_2 > R$.Therefore,both statements $R_1  R$ are correct. Thus,option $(D)$ is the correct answer.

The equivalent resistance of a group of resistances is $R$. If another resistance is connected in parallel to the group,its new equivalent becomes $R_1$,and if it is connected in series to the group,its new equivalent becomes $R_2$. We have:

Similar Questions

In the arrangement of resistances shown below,the effective resistance between points $A$ and $B$ is ............... $\Omega$.

$A$ wire is connected to a battery between the points $M$ and $N$ as shown in figure $(1)$. The same wire is bent in the form of a square and then connected to the battery between the points $M$ and $N$ as shown in figure $(2)$. Which of the following quantities increases?

In the given figure,the $emf$ of the cell is $2.2 \, V$ and the internal resistance is $0.6 \, \Omega$. Calculate the power dissipated in the whole circuit (in $W$).

What is the equivalent resistance between $A$ and $B$?

Two resistors of resistance $R_1$ and $R_2$ having $R_1 > R_2$ are connected in parallel. For equivalent resistance $R$,the correct statement is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module