Question

parallel combination of resistors and its application in daily life

Answer 1

Answer:

We have better control of the electric appliances in a parallel combination using... if we have a very sensitive electrical device we can have a parallel low resistor to protect the device from high current

Answer 2

We have to derive parallel combination of resistor and write its application in daily life.

Parallel combination :

• Two or more resistors are said to be connected in parallel combination when the current flowing through each of them is different.
• In parallel combination, the terminal voltage of each of the resistors is same.

Let two resistors R₁ and R₂ are connected in parallel combination in a circuit .

From Ohm's law,

i₁ = V₁/R₁

i₂ = V₂/R₂

As we already mentioned that terminal voltage of each of the resistors is same.

∴ V₁ = V₂ = V

Let an equivalent resistor R is joined in place of two resistor then,

I = V/R

Here, I = I₁ + I₂

⇒ V/R = V/R₁ + V/R₂

⇒ 1/R = 1/R₁ + 1/R₂

Therfore equivalent resistance of n resistors joined in parallel combination is given by, 1/R = 1/R₁ + 1/R₂ + 1/R₃ + ... + 1/Rₙ

Use and application of parallel combination of resistors in everyday life :

• All domestic and industrial appliances are connected in parallel combination in circuit because this keeps the voltage constant and makes the electricity more functional and workable.
• If one device or appliance is damaged, it helps to continue the work of rest of the devices without interrupting.
• Effective resistance is less in parallel than series, so in minimum voltage, we can get maximum current. that's why it is more preferable.
• We have better control over the electric appliance in parallel combination using switches, we can off or on whenever we want.

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