By using only two resistance coils—singly,in | vedclass

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

Question

(B) Let the two resistances be $R_1$ and $R_2$.When connected in series,the equivalent resistance is $R_S = R_1 + R_2 = 16\,\Omega$.When connected in

Vedclass · Accepted Answer

$4$ and $12\,\Omega$

Vedclass · Answer

(B) Let the two resistances be $R_1$ and $R_2$.When connected in series,the equivalent resistance is $R_S = R_1 + R_2 = 16\,\Omega$.When connected in parallel,the equivalent resistance is $R_P = \frac{R_1 R_2}{R_1 + R_2} = 3\,\Omega$.From the series equation,$R_1 + R_2 = 16$.Substituting this into the parallel equation: $\frac{R_1 R_2}{16} = 3$,which gives $R_1 R_2 = 48$.We need two numbers that add to $16$ and multiply to $48$. These numbers are $4$ and $12$.Checking the options: $1$. Singly: $4\,\Omega$ and $12\,\Omega$ (given in the problem).$2$. Series: $4 + 12 = 16\,\Omega$.$3$. Parallel: $\frac{4 	imes 12}{4 + 12} = \frac{48}{16} = 3\,\Omega$.Thus,the resistances are $4\,\Omega$ and $12\,\Omega$.

By using only two resistance coils—singly,in series,or in parallel—one should be able to obtain resistances of $3$,$4$,$12$,and $16\,\Omega$. The separate resistances of the coils are:

Similar Questions

Find the equivalent resistance between the points $a$ and $b$.

From the combination of resistors with resistance values $R_1 = R_2 = R_3 = 5 \ \Omega$ and $R_4 = 10 \ \Omega$,which of the following combinations is the best circuit to get an equivalent resistance of $6 \ \Omega$?

The effective resistance of a parallel connection that consists of four wires of equal length,equal area of cross-section,and same material is $0.25\, \Omega$. What will be the effective resistance if they are connected in series? (In $\Omega$)

$10$ resistors,each of resistance $R$,are connected in series to a battery of $emf$ $E$ and negligible internal resistance. When those are connected in parallel to the same battery,the current is increased $n$ times. The value of $n$ is:

Two $10\,\Omega$ resistors are first connected in series and then in parallel. What is the ratio of the equivalent resistance in both cases?

Vedclass Test Series

Exam Paper Generator

Online Exam Module