Question

Show how you would connect two resistors to produce a combined resistance of (a) 2 (b) 8 ohm

Answer 1

a) to produce 2 ohm resistance we have to connect two resistor in parallel combination

b) to produce 8 ohm resistance we have to connect two resistor in series combinatio

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Answer 2

Answer:

To find :

how to  connect two resistors to produce a combined resistance of

(a) 2

(b) 8 ohm

Solving Question:

  The resistors could be connected in different combinations to get the required the resistance.

Solution:

(a) 2Ω

    To get the 2Ω resistance ,we can use parallel connection of 4Ω resistor.

$\implies \dfrac{1}{R_p}= \dfrac{1}{4}+\dfrac{1}{4}=\dfrac{2}{4}\\\\\implies \dfrac{1}{R_p}=\dfrac{2}{4}\implies R_P=\dfrac{4}{2}=2\:ohm$

Parallel Connection:

    Connecting two or more resistors between two points in a circuit is called parallel connection.

(b) 8Ω

   To get the 8Ω resistance, we can use series connection of 4Ω resistors.

$4+4=8\:ohm$

series connection:

 Connecting two or more resistors end to end are known as series connection.