Advertisements
Advertisements
Question
You are provided with three resistors of resistance 1.0 Ω, 2.0 Ω and 3.0 Ω How would you connect them to obtain the total effective resistance 1.5 Ω? Draw diagram of the arrangement and check it by calculations.
Advertisements
Solution
Two resistors of resistance 1.0 Ω and 2.0 Ω are connected in series and then this combination is connected in parallel with the resistor of resistance 3.0 Ω. The arrangement is shown in given figure alongside
Total resistance of series combination R = 1 + 2 = 3 Ω.
Total effective resistance of parallel combination
R = `(3 xx 3)/(3 + 3) = 1.5 Ω`
APPEARS IN
RELATED QUESTIONS
Judge the equivalent resistance when the following are connected in parallel − (a) 1 Ω and 106Ω, (b) 1 Ω and 103Ω and 106Ω.
A piece of wire of resistance R is cut into five equal parts. These parts are then connected in parallel. If the equivalent resistance of this combination is R’, then the ratio `"R"/"R'"` is ______.
How does the resistance of a wire change when:
its length is tripled?
How does the resistance of a wire change when:
its diameter is tripled?
What is (a) highest, and (b)Ω lowest, resistance which can be obtained by combining four resistors having the following resistances?
4 Ω, 8 Ω, 12 Ω, 24 Ω
When do you say that the resistors are connected in this way? Draw a circuit diagram.
Two bulbs of 100 W and 40 W are connected in series. The current through the 100 W bulb is 1 A. The current through the 40 W bulb will be ______.
State the effect of rise in temperature on the resistance of semi-conductors.
Three resistors of 6Ω, 3Ω and 2Ω are connected together so that their total resistance is greater than 6Ω but less than 8Ω Draw a diagram to show this arrangement and calculate its total resistance.
With the help of a circuit diagram derive the formula for the resultant resistance of three resistances connected:
- in series and
- in parallel
