Question

what is the value of i3 in the given figure​

Answer 1

Answer:-

The value of i3 is 12 Ampere

Explanation:-

According to kirchoff's first rule:

The algeberic sum of all the current entering and moving out of the junction must be equal to 0.

Or,

The current entering into the junction will be equal to current leaving the junction.

This law is also called conservation of charge.

We can find the value of i3 using this rule.

First identify the current which are moving into the junction and moving out of the junction:

In the given attachment, we can see that current i3 and i5 are moving into the junction, whereas i1, i2, i6 and i4 are moving out of the junction.

Since current moving into the junction and out of the junction are equal,

⇒  i1+i2+i4+i6=i3+i5

Now put the given values of current!

⇒ 3A+ 6A+ 5A+ 7A= i3+ 9A

⇒ 21A=i3+ 9A

⇒ 21A-9A=i3

⇒ 12A=i3

So the required value of current i3 is 12A.