Question

In an electrical circuit the voltage across a resistor is directly proportional to the current running through the resistor. If a current of 16 amps produces 680 volts across a resistor how many volts would a current of 3.5 amps produce across an identical resistor?

Answer 1

Given,

Current 1 (I₁) = 16 A

P.d (V₁) = 680 V

By Ohm's law,

V₁ = I₁R

= 680 = 16R

= 42.5Ω = R

Current 2 (I₂) = 3.5 A

Resistance (R) = 42.5 Ω

If we assume that resistance remains the same,

By using Ohm's law,

V₂ = I₂R

= 3.5*42.5

= 148.75 V

The New Potential Difference will be 148.75 V.

I hope this helps.