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varies inversely. suppose that when the current is 5 A, the resistance is 50 ohms. what is the resistance when the current is 2 A?

Respuesta :

joshgree747
This law is known as Ohm's Law
[tex]V=I*R[/tex]
where V is the voltage, I is the current, and R is the resistance
Science lesson aside, this is easy. In this case, voltage is constant.
First, if we multiply 5 A by 50 ohms, we get 250 V. That is our goal.
What can be multiplied by 2 to get to 250? 125. So the resistance is 125 ohms, given that the voltage is constant, and the current is 2 amperes
Current varies inversely with resistance :

         [tex]\text { Current = } \dfrac{k}{\text {resistence}} [/tex]

When Current = 5A, resistance = 50 ohm

         [tex]5 = \dfrac{k}{50} [/tex]

         [tex]k = 5 \times 50[/tex]

         [tex]k = 250[/tex]

So the equation is :

         [tex]\boxed { \boxed {\text { Current = } \dfrac{250}{\text {resistence}} }}}[/tex]

When current = 2 A,

         [tex]2A = \dfrac{250}{\text {resistence}}[/tex]

         [tex]\text {resistence} = \dfrac{250}{2} [/tex]

         [tex]\text {resistence} = 125[/tex]

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Answer: When current is 2A, resistence is 125 ohms.
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