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

Question

Infinity Learn · Accepted Answer

Initially : Resistance of given $$cableR=$$ρlπ×$$9$$×$$10$$−$$32$$...(i)Finally$$ : Resistance of each insulated copper wire isR′$$=$$ρlπ×$$3$$×$$10$$−$$32$$ . Hence equivalent resistance of cable $$Req=R$$′$$6=16$$×ρlπ×$$3$$×$$10$$−$$32$$....$$(ii)  On solving equation (i) and (ii) we get Req $$=$$ $$7.5$$ W

In an electrical cable there is a single wire of radius 9 mm of copper. Its resistance is 5Ω . 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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