a wire of length 1 m has a resistance of 2 ohm when connected to a cell the current in the wire is 3 ampere now at 2 metre length of the wire is connected to the same cell what is the resistance of the wire and current in it
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hey mate !
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For the 1m lamp:
Resistance= Resistivity × (Length ÷ Cross-sectional area)
that is, 2 ohm= resistivity × (1 ÷ Cross-sectional area)
Now, assuming that the wires are made of the same material and has the same cross-sectional area:
2 ohm ÷ 1 m = X ohm ÷ 2 m [here, X is the resistance of the second wire.
from here, the second wire's resistance comes as 4 ohms.
now, since the CELL is the SAME, the VOLTAGE will be the same.
we know, V=IR where V is the voltage, I is the current and R is the resistance.
Since the voltage remains constant,
3 amp × 2 ohm = I amp × 4 ohm [here, I amp is the current in the second wire]
From here, the current in the second wire comes as 1.5 amp.
I know it's pretty big a sum, but it helps going step-by-step. Hope this helped!
please mark it as brainliest.
Answers
For the 1m lamp:
Resistance= Resistivity × (Length ÷ Cross-sectional area)
that is, 2 ohm= resistivity × (1 ÷ Cross-sectional area)
Now, assuming that the wires are made of the same material and has the same cross-sectional area:
2 ohm ÷ 1 m = X ohm ÷ 2 m [here, X is the resistance of the second wire.
from here, the second wire's resistance comes as 4 ohms.
now, since the CELL is the SAME, the VOLTAGE will be the same.
we know, V=IR where V is the voltage, I is the current and R is the resistance.
Since the voltage remains constant,
3 amp × 2 ohm = I amp × 4 ohm [here, I amp is the current in the second wire]
From here, the current in the second wire comes as 1.5 amp.
I know it's pretty big a sum, but it helps going step-by-step. Hope this helped!
please mark it as brainliest.
smiriti007:
Ohh ok
Answered by
2
Resistance = (Resistivity × Length)/ Area
2 = (Resistivity × 1)/ Area
Now assuming that it has same area
2 / 1 = x / 2
2 = x / 2
x = 4
V=IR
Both the voltage is same
IR = IR
3 × 2 = 4 × I
I = 1.5 A
2 = (Resistivity × 1)/ Area
Now assuming that it has same area
2 / 1 = x / 2
2 = x / 2
x = 4
V=IR
Both the voltage is same
IR = IR
3 × 2 = 4 × I
I = 1.5 A
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