Name: Superconductivity: An Overview
Uploaded: 2019-07-19
Duration: 2 min 51 s
Description: Resistance of mercury at very low temperatures reduces to nearly zero. Certain materials exhibit this property of superconductivity. Let's learn more.

Question

Calculate the equivalent resistance between points $A$ and $B$ in each of the following networks of resistors:

Accepted Answer

(a) in the given combination, two resistors are connected in parallel and their resultant is connected in series with third resistor.

$R = 8 + \frac{8 \times 8}{8 + 8} = 12 Ω$

(b) Here two resistor $10$ and $5$ are connected in parallel and their resultant in connected in series with remaining resistors.

$R = 5 + \frac{10 \times 5}{10 + 5} + 5 = \frac{40}{3} Ω$ .

(c) In the given combination, two resistors are connected in series and their resultant is connected in parallel with third resistor.

$R = \frac{(3 + 3) 3}{(3 + 3) + 3} = 2 Ω$

(d) All the three resistances are connected in parallel between points $A$ and $B$ .

$\frac{1}{R} = \frac{1}{10} + \frac{1}{10} + \frac{1}{10} = \frac{3}{10}$ or $R = \frac{10}{3} Ω$

(e) The given network is equivalent to the network shown in Fig.

$∴ R = 10 + \frac{10 \times 15}{10 + 15} = 16 Ω$ .

(f) Resistance in branch $A D C = 2 + 4 = 6 Ω$ . This resistance is in parallel with $6 Ω$ resistance in arm $A C$

Their equivalent resistance $= \frac{6 \times 6}{6 + 6} = 3 Ω$

The series combination of this $3 Ω$ resistance and $7 Ω$ resistance in arm $B C$ is in parallel with $10 Ω$ resistance in arm $A B$ .

$∴ R = \frac{10 \times 10}{10 + 10} = 5 Ω$ .

Calculate the equivalent resistance between points $A$ and $B$ in each of the following networks of resistors:

Important Questions on Current Electricity

Learn and Prepare for any exam you want !

Calculate the equivalent resistance between points A and B in each of the following networks of resistors:

Important Questions on Current Electricity

Learn and Prepare for any exam you want !

Calculate the equivalent resistance between points $A$ and $B$ in each of the following networks of resistors: