The current (I) in a wire varies directly as the voltage (v) and inversely as the resistance (r). If the current is 27.5 amps when the voltage is 110 volts and

Question

The current (I) in a wire varies directly as the voltage (v) and inversely as the resistance (r). If the current is 27.5 amps when the voltage is 110 volts and the resistance is 4 ohms, find the current when the voltage is 130 volts and the resistance is 12 ohms. (Round your answer to two decimal places.)

Answer 1

Hi Hannah,

The first sentence in your problem gives the relationship of voltage (V), current (I), and resistance (R), which is V = IR.

Solving for current (I)  gives

I = V/R so

I = 130v/12Ω = 10.83 amps