How do the currents produced by a 1.5 V flashlight battery and a 12 V car battery compare if the resistance is the same?

Respuesta :

Answer: Current offered by the car battery is 8 times the current offered by the batteries in the flash lights.

I' = 8 × I

Explanation:

Voltage used in flash lights ,V = 1.5 Volts

Current offered by the V = I

[tex]V=IR[/tex]...(1)

Voltage used in car battery,V' = 12 Volts

Current offered by the V' = I'

[tex]V'=I'R'[/tex]..(2)

Dividing (2) and (1)

[tex]\frac{V'}{V}=\frac{I'R'}{IR}=\frac{I'R}{IR}=\frac{I'}{I}[/tex]

(Given that resistance offered by both is same,R'=R)

[tex]\frac{12 volts}{1.5 volts}=\frac{I'}{I}[/tex]

I' = 8 × I

Current offered by the car battery is 8 times the current offered by the batteries in the flash lights.