Question

» The resistance of a conductor is 27.02. If it
is cut into three equal parts and connected
in parallel, then find its total resistance?

Answer 1

Answer:

• The resistance of the conductor = 27.02 ohm

If the conductor is cut into 3 equal parts, every part will have equal resistance.

So, it will have = 27.02÷3 = 9.006 ohm is the resistance of all the three conductors.

• Now, all the three are connected in parallel connection.

• 1/Rp = 1/R1 + 1/R2 + 1/R3 is the formula to find the net resistance in a parallel connection.

Hence, substituting the values.

1/Rp = 1/9.006 + 1/9.006 + 1/9.006

1/Rp = 3/9.006

Rp = 9.006/3

Rp = 3.002 ohm is the net resistance.

• In a series connection, the resistance of the resistors connected in series are added to find the net resistance.
• That is, Rs = R1 + R2 + R3.
• In a parallel connection, the reciprocal of resistance of the resistors connected in parallel are added to find the net resistance.
• That is, 1/Rp = 1/R1 + 1/R2 + 1/R3.