Question

For a given​ voltage, the resistance of a circuit is inversely related to its current. if a circuit has a resistance of 5 ohms and a current of 12 ​amps, what is the resistance if the current is 15 ​amps?

Answer 1

As it is known to us, resistance of a circuit is inversely related to the current, we can write,

`(R_(1))/(R_(2)) =(I_(2))/(I_(1))`

Given, R₁= 5 ohms

I₁=12 A

I₂= 15 A

Substituting the values we get,

`(5)/(R_(2)) =(15)/(12)`

R₂= 4 ohms

Resistance of the circuit is 4 ohms when the current is 15 A.