From the combination of resistors with resist | vedclass

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

Question

(A) To obtain an equivalent resistance of $6 \ \Omega$,we analyze the circuit in image $A$:In the upper branch,$R_1$ and $R_2$ are in series,so $R_{up

Vedclass · Accepted Answer

Vedclass · Answer

(A) To obtain an equivalent resistance of $6 \ \Omega$,we analyze the circuit in image $A$:In the upper branch,$R_1$ and $R_2$ are in series,so $R_{up} = R_1 + R_2 = 5 \ \Omega + 5 \ \Omega = 10 \ \Omega$.In the lower branch,$R_3$ and $R_4$ are in series,so $R_{low} = R_3 + R_4 = 5 \ \Omega + 10 \ \Omega = 15 \ \Omega$.These two branches are in parallel,so the equivalent resistance $R_P$ is given by:$\frac{1}{R_P} = \frac{1}{R_{up}} + \frac{1}{R_{low}} = \frac{1}{10} + \frac{1}{15} = \frac{3 + 2}{30} = \frac{5}{30} = \frac{1}{6} \ \Omega^{-1}$.Therefore,$R_P = 6 \ \Omega$.Thus,the circuit in image $A$ provides the required equivalent resistance.

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 $6 \ \Omega$?

Similar Questions

The effective resistance of the network between points $A$ and $B$ is

The effective resistance between the points $A$ and $B$ in the figure is ............. $\Omega$.

In the circuit diagram shown,each resistor has a resistance of $1\,\Omega$. Find the equivalent resistance between $A$ and $B$.

$A$ wire has a resistance of $6 \,\Omega$. It is cut into two equal parts and both parts are connected in parallel. The new resistance is ................ $\Omega$.

Two resistors $R_{1} = (4 \pm 0.8) \, \Omega$ and $R_{2} = (4 \pm 0.4) \, \Omega$ are connected in parallel. The equivalent resistance of their parallel combination will be

Vedclass Test Series

Exam Paper Generator

Online Exam Module