a wire whose resistance is 80 ohm is cut into 3 pieces of equal lengths which r then arranged in parallel.calculate d resistance of d combination,.
As answered previously...
The resistance of 80 ohm is cut into three pieces.
We know, resistance, R = ρL/A
ρ is resistivity, L is the length, A is the area of cross-section of the wire. When it is cut into three equal pieces, ρ and A remains constant but L changes.
Since, resistance is directly proportional to length. So, if the length becomes L/3 the resistance also becomes R/3. Thus, the resistance of each piece is 80/3 ohm. Now, we have three such pieces connected in parallel. The equivalent resistance of the combination is,
1/R eq = 1/(80/3) + 1/(80/3) + 1/(80/3)
=> 1/R eq = 9/80
=> R eq = 80/9 = 8.88 ohm