Home Physics Current Electricity Mix In an electrical cable there is a single wir…
Physics Current Electricity Mix MCQ (Single Correct)

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

A
7.5 Ω Ω
B
45 Ω Ω
C
90 Ω Ω
D
270 Ω Ω

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The correct answer is:
A

Initiall: 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 R eq = 7.5 Ω Ω

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