Question

calculate the total resistance ​

Answer 1

Answer:

Explanation:

ANSWER:-

Let us start from the extreme left.

• We can see that
• 15Ω and 10Ω are in series
• So, as series combination follows simple addition,
• 15+10 ohm will give us 25Ω

Coming now to the parallel resistance:-

• We can see that
• 6 ohm and 3 ohm are in Parallel
• So, if I consider Parallel Resistance as $R_{p}$,

$\frac{1}{R_{p}}=\frac{1}{6}+\frac{1}{3}$

$\frac{1}{R_{p}}=\frac{3+6}{18}$

$\boxed{R_{p}=2\ \Omega}$ is the Total Parallel Resistance.

• Now 4,2 and 25 are completely in Series
• Simple addition will take Place
• So, Total Resistance is 4+2+25
• = 31 Ω

31 Ohm is the total Resistance.

Things to Remember:-

For Series combination:-

Taking Series resistance as $R_{s}$

$R_{s}=x+y+z$,

Where x , y and z were other resistances

For Parallel Combination:-

$\frac{1}{R_{p}}=\frac{1}{x}+\frac{1}{y}+\frac{1}{z}$

Where $R_{p}$ is Total Parallel Resistance

And x, y, z are other resistances.