Question

three resistors of resistance 4ohm, 6ohm, 12ohm are parallel. find the total Rp. if it is connected to the 6volt battery find current.​

Answer 1

Answer:

1. 1using identies r1
2. $r1 + r2 + r3$

add all ohms then

$= 22$

the again using identies

$i = vr$put ohms law and divide 6 then

Explanation:

22

by

6

-- 3.666 ans

Answer 2

$\boxed{ \huge \red{ \mathfrak{solution}}}$

Given:

• Three resistors of resistance are

4ohm , 6 ohm and 12ohm which are in parallel combination.

To find : Rp

As we know that in parallel we add like

$\frac{1}{r(eq)} = \frac{1}{r1 } + \frac{1}{r2} + \frac{1}{r3} ........$

Put the values :

$\rightarrow \: \frac{1}{r(eq) } = \frac{1}{4} + \frac{1}{6} + \frac{1}{12} \\ \\ \rightarrow \: \frac{1}{r(eq)} = \frac{6 + 4 + 2}{24} \\ \\ \rightarrow \frac{1}{r(eq)} = \frac{12}{24} \\ \\ \rightarrow \: r(eq) = 2$

Hence the value of r(eq) or r(p) is

${\boxed{ \blue{ 2 ohm}}}$

And also it's connected to 6 volt battery

By Ohm's law

• we know that :

$\boxed{ \green{\: v = ir}}$

$\rightarrow \: i = \frac{v}{r} \\ \\ \rightarrow \: i = \frac{6}{2} = 3$

Hence the value of current is

$\purple { \boxed{ \: 3 \: ampere} \: }$