Question

your friend 10 ohm resistance he came to you and ask but you have 40 ohm resistor
1) how the resistor which are taken are connected ​

Answer 1

Answer:

4 resistors of 40 ohm should be connected in parallel

Step-by-step explanation:

Given :

I have 40 ohm resistors but my friend asks for 10 ohm resistor

To find :

how the resistor which are taken are connected

Solution :

We know that,

The resultant resistance can be less that individual resistance if they r connected in parallel.

First let us know that formula for parallel resistors

If Rp is the Resultant of resistance in parallel and R₁, R₂, R₃ are the resistors connected in parallel, then,

$\boxed{\mathrm{\dfrac{1}{R_p\\} = \dfrac{1}{R_1} + \dfrac{1}{R_2} + \dfrac{1}{R_3}}}$

So, here, if all the resistors are same then formula turns,

$\mathrm{\dfrac{1}{R_p} = \dfrac{n}{R} } \ \text{[For n number of resistors]}$

$\boxed{\mathrm{R_p = \dfrac{R}{n}}}$

So, here, Rp = 10 and R = 40

$\implies\mathrm{ 10 = \dfrac{40}{n}}$

$\implies n = 4$

So, 4 resistors of 40 ohm should be connected in parallel

Hope it helps!!