Question

find the equivalent resistance without any spam​

Answer 1

AnsWer :

8 ohm.

Concepts Required :

• Series Connection - When Resistance follow only one path it said to be Series Connection of Resistance.

• Parallel Connection - When R Resistance follow different direction two or more it said to be Parallel Connection of Resistance.

$\tt R_{series}= R_1+ R_2 + .......R_n.$

$\tt R_{parallel}= \frac{1}{R_1}+ \frac{1}{ R_2 }+ ....... \frac{1}{ R_n}$

Solution :

Current flow throw "+" terminal.

So,

For parallel,

$\begin{aligned} \frac{1}{ R_{parallel}}&= \frac{1}{4} + \frac{1}{4} \\ & = \frac{2}{4} \\ & = \frac{1}{2} \\ R_{parallel}&= 2. \end{aligned}$

Other Parallel Connection,

$\begin{aligned} \frac{1}{ R_{parallel}}&= \frac{1}{5} + \frac{1}{20} \\ & = \frac{5}{20} \\ & = \frac{1}{4} \\ R_{parallel}&= 4 .\end{aligned}$

Now,

Series Connection,

$\begin{aligned} R_{series}&= 2 + 2 + 4. \\ & = 8. \end{aligned}$

Therefore, the value of equivalent Resistance be 8 ohms.