15 POINTS QUESTION!!!!!!
Please help me with this question
The answer is 3 OHM
please explain properly
Answers
Step-by-step explanation:
if the total resistance of the wire is R, then after bending the total resistance will still be R.
Now, along any diameter, we can say that the whole circle is divided into two segments.
So, the resistance of each segment is half, i.e. R/2
Now, these two segments are connected in parallel. So, the effective resistance is
1/R=1/(R/2)+1/(R/2)= 2/R+2/R= 4/R
therefore, R/4=12/4 = 3 ohm
HOPE IT HELPS YOU
Answer:
3 ohm
Step-by-step explanation:
Resistance of wire is 12 ohm. Therefore, resistance of each semicircle = 12/2 = 6 ohm(as the length of semicircle wire is half of total length of wire and R∝l)
So,there are two resistances 6Ω and 6Ω between two points on any diameter of the ring and they are in parallel.
Their equivalent resistance = (6+6)/(6×6)=3 ohm
Hope you understand!!