Question: The current I in an electrical conductor varies inversely as the resistance R of it . If the current is 1 / 5 ampere when the resistance is 175 ohms, then find the current when the resistance is 280 ohms?

A ) 9800 amperes
B ) 8 / 25 ampere
C ) 8 amperes
D ) 1 / 8 ampere

Steps to derive

1 Given that the current I varies inversely as the resistance R of the conductor.

2 So, IR = constant
 [Inverse variation.]

3 I₁ R₁ = I₂ R₂

4 (1 / 5) (175) = I₂ (280)

5 35 = I₂ (280)

6 I₂ = 35 / 280 = 1 / 8 ampere



Hence the right answer is Option D

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