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In an electrical circuit, the voltage across a resistor is directly proportional to the current (amps) running through the resistor. If a current of 12 amps produced 480 amps volts across a resistor, how many volts would a current of 1.5amps produce across an identical resistor?

Respuesta :

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since it's the same resistor so R is constant 
R = V/I =480/12=40
when I = 1.5 , V/1.5 =40 , V = 1.5 x 40 = 60 v

Answer:

Voltage across resister is 60 V.

Step-by-step explanation:

It is given in the question that voltage across the resister is directly proportional to the current.

So, V ∝ i

or V = Ki  (where K is a proportionality constant)

[tex]K=\frac{V}{i}[/tex]

For all different values of voltage and current,

[tex]\frac{V_{1} }{i_{1} }= \frac{V_{2} }{i_{2} }[/tex] = K

By substituting values in this formula,

[tex]\frac{480}{12}= \frac{V_{2}}{1.5}[/tex]

[tex]V_{2}=\frac{480\times 1.5}{12}[/tex]

    = 60 volts

Therefore, voltage across the resister will be 60 volts when the amount of current flowing through the resistor is 1.5 amps.

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