Advertisements
Advertisements
प्रश्न
Six equal resistors of 1 ohm each are connected to form the sides of a hexagon ABCDEF. Calculate the resistance offered by the combination if the current enters at A and leaves it at D.
Advertisements
उत्तर
From figure it is clear that there are two sets of parallel resistances between A and D. Each group has three resistances of 1Ω each, in series.
Equivalent resistance R1 of one group (AB, BC and CD) = 1Ω + 1Ω + 1Ω = 3Ω
Similarly equivalent resistance R2 of the other group (AF, FE, ED)
= 1Ω + 1Ω + 1Ω = 3Ω
As the two groups are in parallel, we have
`1/"R" = 1/"R"_1 + 1/"R"_2 = 1/3 + 1/3 = 2/3`
where R is the equivalent resistance of the whole combonation.
∴ R = `3/2` Ω or 1.5 Ω.
संबंधित प्रश्न
In series combination which remains constant?
(a) Voltage
(b) Current
(c) Both current and voltage
(d) Both are variables
Find the expression for resistors connected in series.
If the length of a wire is doubled by taking more of wire, what happens to its resistance?
How does the resistance of a wire change when:
its length is tripled?
If two resistors of 25 Ω and 15 Ω are joined together in series and then placed in parallel with a 40 Ω resistor, the effective resistance of the combination is :
(a) 0.1 Ω
(b) 10 Ω
(c) 20 Ω
(d)40 Ω
Calculate the equivalent resistance of the following combination of resistor r1, r2, r3, and r4
2Ω resistor A, 1Ω resistor B and 4Ω resistor C are connected in parallel. The combination is connected across a 2V battery of negligible resistance. Draw the diagram of the arrangement and calculate:
(i) The current in each resistor A and C,
(ii) The current through battery.
Illustrate-combination of cells e.g., three cells, in series, explaining the combination briefly. Obtain an expression for current ‘i’ in the combination.
Show how you would connect three resistors, each of resistance 6 Ω, so that the combination has a resistance of 4 Ω.
