Question

Two resistors,5.0 ohms can be combined give an equivalent resistance of?

Answer 1

Answer:

10 ohms, 2.5 ohms

Explanation:

Given :

Two resistors of 5 ohms are there

To find :

How they can be combined to give an equivalent resistance

Series combination :

Equivalent resistance = R1+R2

Equivalent resistance = 5+5

Equivalent resistance = 10 ohms

Parallel combination :

1/equivalent resistance = 1/R1+1/R2

1/equivalent resistance = 1/5+1/5

1/equivalent resistance = 2/5

Equivalent resistance = 5/2

Equivalent resistance = 2.5 ohms

So they can be combined in different ways to give an equivalent resistance of 10 ohms or 2.5 ohms

Answer 2

Given :-

• Two resistors of 5 ohm each.

To Find:-

• Equivalent resistance in both case.

Solution :-

If the resistor combined in parallel ,then equivalent resistance

➦1/Rp = 1/R1 +1/R2

➭ 1/Rp = 1/5+1/5

➭ 1/Rp = 2/5

➭ Rp = 5/2

➭ Rp =2.5 ohm

∴ if the resistors combined in parallel then the equivalent resistance is 2.5 ohm.

Now,

If the resistor combined in Series ,then equivalent resistance

➦ Rs = R1+R2

➭ Rs = 5+5

➭ Rs = 10 ohm.

∴ If the resistors combined in Series then the equivalent resistance is 10 ohm.