What should be the length of nichrome wire of resistance 5 ohm if the length of similar wire is 80cm and resistance 2.5 ohm?
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⏭️ As R = p L/A
So, According to question;
2.5 ohm = p (80 cm) / A
or, 2.5 / 80 ohm cm = p / A ..................(1)
Let L be the length of 5 ohm resistance wire
So, 5 ohm = p L/A
or, 5 ohm = L × p / A
or, 5 ohm = L × 2.5/80 ohm cm ...from (1)
or, L = 5×80/2.5 cm
or,L=400/2.5 cm
or, L = 160cm.
So, required length will be 160cm.
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