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» 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? |
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Answer» The resistance of the conductor = 27.02 ohmIf 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 + 1/9.0061/Rp = 3/9.006Rp = 9.006/3Rp = 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. |
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