Advertisements
Advertisements
Question
Two resistors having resistance 8 Ω and 12 Ω are connected in parallel. Find their equivalent resistance.
Advertisements
Solution
Let R be the equivalent resistance
∴ `1/"R" = 1/"R"_1 + 1/"R"_2`
`1/"R" = 1/8 + 1/12`
= `(3 +2)/24`
`1/"R" = 5/24`
R = `24/5`
= 4.8 Ω
or R = `("R"_1"R"_2)/("R"_1 + "R"_2)`
= `(8 xx 12)/((8 + 12))`
= 4.8 Ω

APPEARS IN
RELATED QUESTIONS
Complete the following :-
(c)

How can three resistors of resistances 2 Ω, 3 Ω and 6 Ω be connected to give a total resistance of 4 Ω ?
The equivalent resistance of the parallel combination of two resistors of 60Ω and 40Ω is _______.
A) 24Ω
(B) 100Ω
(C) 50 Ω
(D) 240Ω
Find the current in each resistor in the circuit shown below:

Are the lights in your house wired in series?
In the following figure calculate:
- the total resistance of the circuit
- the value of R, and
- the current flowing in R.

A uniform wire with a resistance of 27 Ω is divided into three equal pieces and then they are joined in parallel. Find the equivalent resistance of the parallel combination.
A given wire is stretched to double its length. How will its resistance change?
Three resistors of 6Ω, 4Ω and 4Ω are connected together so that the total resistance is 8Ω. Draw a diagram to show this arrangement and give reason to justify your answer.
Two V-I graphs A and B for series and parallel combinations of two resistors are as shown. Giving reason state which graph shows (a) series, (b) parallel combination of the resistors.

