Question

If 5&15 ohm resistor are connected in series and 10 & 12 ohm resistor connected in parallel of a connection . then find total resistance of whole connection.​

Answer 1

Solution

Given :-

• In series connected resistor = 5 & 10 ohm
• in parallel connected resistor = 10 & 12 ohm

Find :-

• Total resistance of whole connection

Explanation

We Know,

In Series Connection

$\dag\boxed{\tt{\red{\:R'=\:r+r'}}}$

In parallel connection

$\dag\boxed{\tt{\red{\:\dfrac{1}{R"}\:=\:\dfrac{1}{r"}+\dfrac{1}{r"'}}}}$

Where,

• r = 5 ohm
• r' = 15 ohm
• r" = 10 ohm
• r"' = 12 ohm

Now, Calculate resistance in series .

keep all above Values in Formula

==> R ' = 5 + 15

==> R' = 20 ohm

Now, Calculate resistance in parallel

keep all above Values in Formula

==> R" = 10 + 12

==> R" = 22 ohm

Now, Calculate total resistance of connection

Here both connection behave a series connection.

So, Now calculate

==> R = R' + R"

keep Values

==> R = 20 + 22

==> R = 42 ohm

Hence

• Total connection of whole circuit will be = 42 ohm

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