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Q.

In an electrical cable there is a single wire of radius 9 mm of copper. Its resistance is 5 Ω . The cable is replaced by 6 different insulated copper wires, the radius of each wire is 3 mm . Now the total resistance of the cable will be

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answer is 1.

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Detailed Solution

Initially : Resistance of given cable                                        ... (i)Finally : Resistance of each insulated copper wire is  . Hence equivalent resistance of cable  ….(ii)On solving equation (i) and (ii) we get Req = 7.5 Ω
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In an electrical cable there is a single wire of radius 9 mm of copper. Its resistance is 5 Ω . The cable is replaced by 6 different insulated copper wires, the radius of each wire is 3 mm . Now the total resistance of the cable will be